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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides A Lane consistent optical model potential for nucleon induced reactions on 238 U and 232 Th nuclei with full coupling

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides

A Lane consistent optical model potential for nucleon induced reactions on 238U and 232Th nuclei with full coupling

Jos´ e Manuel Quesada Molina

Department of Atomic, Molecular and Nuclear Physics University of Seville, Spain

WONDER 2012

Aix-en-Provence, September 26, 2012

Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides IAEA/NEA studies and recommendations

Content

1 Motivation

IAEA/NEA studies and recommendations

2 Dispersive Optical Model Potential with Full Lane consistency

(Capote, Soukhovitskii, Quesada, Chiba) Historical remarks Formalism New OMP results:

3 Backup slides

Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 3

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides IAEA/NEA studies and recommendations

OECD/NEA WPEC Subgroup 26 Final Report: ”Uncertainty and Target Accuracy Assessment for Innovative Systems Using Recent Covariance Data Evaluations”, M Salvatores (coordinator), R. Jacquemin (monitor), Tech. Rep. NEA No. 6410 (2008) The request for improved cross sections and emission spectra and their accuracies for neutron induced reactions on 238U is an important issue that emerges in several of cases studied. High accuracy requirements were placed on inelastic cross-sections 238U(n,inl) in the whole energy range up to 20 MeV. + Benchmark sensitivity to elastic and inelastic cross sections, and corresponding angular distributions ⇒ Optical Model

Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides IAEA/NEA studies and recommendations Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides IAEA/NEA studies and recommendations

Prepared by A.Plompen, T.Kawano, and R.Capote Available at http://www-nds.iaea.org/publications/indc/indc-nds-0597.pdf

Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 6

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Historical remarks

Content

1 Motivation

IAEA/NEA studies and recommendations

2 Dispersive Optical Model Potential with Full Lane consistency

(Capote, Soukhovitskii, Quesada, Chiba) Historical remarks Formalism New OMP results:

3 Backup slides

Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 7

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Historical remarks

Dispersive OMPs

Dispersive OMPs Spherical magic nuclei, 40Ca, 48Ca, 90Zr,

208Pb, ..

  • R. Lipperheide. Z. Phys. 202, 58 (1967); G. Passatore, Nucl. Phys.

A95 (1967) 694

  • R. Lipperheide and A.K. Schmidt, Nucl. Phys. A112 (1968) 65
  • C. Mahaux and co-workers : 1984-
  • W. Tornow et al (TUNL):1993-
  • A. Molina, R.Capote, J. M. Quesada and M. Lozano, PRC 65 (2002)

034616

Coupled channels OMPs (Deformed nuclei)

A.C. Merchant, P.E. Hodgson and H.R. Schelin. Nucl. Sc. Eng. 111 (1992) 132

  • P. Romain and J.P. Delaroche. Proceedings of the Meeting on

Nucleon-Nucleus Optical Model up to 200 MeV, Bruyres-le-Chtel, p.167 (OECD, Paris, 1997) A.B. Smith . Ann. Nucl. Energy 28 (2001); 29 (2002); 31 (2004)

  • E. Sh. Soukhovitskii, R. Capote, J. M. Quesada and S. Chiba,
  • Phys. Rev. C 72 (2005) 024604
  • R. Capote, E. Sh. Soukhovitskii, J. M. Quesada and S. Chiba,
  • Phys. Rev. C 72 (2005) 064610
  • J. M. Quesada, R. Capote, E. Sh. Soukhovitskii, S. Chiba,
  • Phys. Rev. C 76 (2007) 057602
  • R. Capote, S. Chiba, E. Sh. Soukhovitskii, J. M. Quesada and E. Bauge,
  • Jou. Nucl. Sci. Tech. 45 (2008) 333-340;

R.Capote et al, ”RIPL ..”, Nucl. Data Sheets 110 (2009) 3107-3214;

  • W. L. Sun, L. J. Hao, E. Sh Soukhovitskii, R. Capote and J. M. Quesada,

AIP Conf. Proc.1235 (2010) 43-49 Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 8

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Historical remarks

Dispersive OMPs

Dispersive OMPs Spherical magic nuclei, 40Ca, 48Ca, 90Zr,

208Pb, ..

  • R. Lipperheide. Z. Phys. 202, 58 (1967); G. Passatore, Nucl. Phys.

A95 (1967) 694

  • R. Lipperheide and A.K. Schmidt, Nucl. Phys. A112 (1968) 65
  • C. Mahaux and co-workers : 1984-
  • W. Tornow et al (TUNL):1993-
  • A. Molina, R.Capote, J. M. Quesada and M. Lozano, PRC 65 (2002)

034616

Coupled channels OMPs (Deformed nuclei)

A.C. Merchant, P.E. Hodgson and H.R. Schelin. Nucl. Sc. Eng. 111 (1992) 132

  • P. Romain and J.P. Delaroche. Proceedings of the Meeting on

Nucleon-Nucleus Optical Model up to 200 MeV, Bruyres-le-Chtel, p.167 (OECD, Paris, 1997) A.B. Smith . Ann. Nucl. Energy 28 (2001); 29 (2002); 31 (2004)

  • E. Sh. Soukhovitskii, R. Capote, J. M. Quesada and S. Chiba,
  • Phys. Rev. C 72 (2005) 024604
  • R. Capote, E. Sh. Soukhovitskii, J. M. Quesada and S. Chiba,
  • Phys. Rev. C 72 (2005) 064610
  • J. M. Quesada, R. Capote, E. Sh. Soukhovitskii, S. Chiba,
  • Phys. Rev. C 76 (2007) 057602
  • R. Capote, S. Chiba, E. Sh. Soukhovitskii, J. M. Quesada and E. Bauge,
  • Jou. Nucl. Sci. Tech. 45 (2008) 333-340;

R.Capote et al, ”RIPL ..”, Nucl. Data Sheets 110 (2009) 3107-3214;

  • W. L. Sun, L. J. Hao, E. Sh Soukhovitskii, R. Capote and J. M. Quesada,

AIP Conf. Proc.1235 (2010) 43-49 Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

Content

1 Motivation

IAEA/NEA studies and recommendations

2 Dispersive Optical Model Potential with Full Lane consistency

(Capote, Soukhovitskii, Quesada, Chiba) Historical remarks Formalism New OMP results:

3 Backup slides

Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 10

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

Nucleon-nucleus dispersive OMP

Key ingredient: dispersion relation ∆V (r, E) = P π ∞

−∞

W (r, E ′) E ′ − E dE ′ V (r, R(θ′, ϕ′), E ∗) = −VHF(E ∗)fWS(r, RHF(θ′, ϕ′)) − [∆Vv(E ∗) + iWv(E)] fWS(r, Rv(θ′, ϕ′)) − [∆Vs(E ∗) + iWs(E)] gWS(r, Rs(θ′, ϕ′)) + mπc 2 [Vso(E) + ∆Vso(E) + iWso(E)] × 1 r d dr fWS(r, Rso(θ′, ϕ′))(ˆ l · ˆ σ) +VCoul(r, Rc(θ′, ϕ′)) E ∗ = E − CCoul

ZpZT A1/3

Coupled 5 levels of the ground state band within the rigid rotor model +..

Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

VHF(E) = AHF exp(−λHF (E − EF)) Ws(E) = As (E − EF)2 (E − EF)2 + (Bs)2 exp(−Cs|E − EF|) Wv(E) = Av (E − EF)2 (E − EF)2 + (Bv)2 AHF = V0

  • 1 + (−1)Z ′+1 Cviso

V0 N − Z A

  • As = W0
  • 1 + (−1)Z ′+1 Cwiso

W0 N − Z A

  • Jos´

e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

Lane consistency

Key ingredient: Isospin simmetry Vpp = V0 + N − Z 4A V1 Vnn = V0 − N − Z 4A V1 Vpn = √ N − Z 2A V1 Couplings GS band ← → IAS band < ν; I +′(residual)|V (τ, r)|π; I +(target) > = < ν|T |π >< I +′(residual)|V1( r)(|I +(target) > =

  • (N − Z)

2A < I +′(residual)|V1( r)|I +(target) >

..+ 2 IAS states

Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

GS ← → IAS coupling in (p,n) reactions (232Th)

Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

Dispersive and Lane consistent OMP (1)

Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 15

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

Dispersive and Lane consistent OMP (2)

RIPL 2409 RIPL 2409

Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

Dispersive and Lane consistent OMP (3)

RIPL 2409 RIPL 2409

Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 17

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

Dispersive and Lane consistent OMP (4)

RIPL 5409 RIPL 5409

Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 18

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

Dispersive and Lane consistent OMP (5)

Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 19

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

238U low lying nuclear levels

Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

Expanded coupling scheme

Vibrational-rotational model

D.W.Chan et al, PRC26 (1982) 841, PRC26 (1982) 861 E.Sheldon. L.E.Beghian, D.W.Chan et al, J.Phys.G:Nucl. Phys. 12, 443 (1986)

  • T. Kawano, N. Fujikawa and Y. Kanda, INDC(JPN)-169 (1993) JENDL-3.2

Soft (non-axial) rotor Yu.V.Porodzinkij and E. Soukhovitdkii, Phys. At. Nuclei 59 (1996) 228-237 R(θ′, ϕ′) = R0

  • 1 + β2
  • cos γY20(θ′) + 1

√ 2 sin γ

  • Y22(θ′, ϕ′) + Y2−2(θ′, ϕ′)
  • +
  • λ=4,6....

βλ0Yλ0(θ′) + β3

  • cos ηY30(θ′) + 1

√ 2 sin η

  • Y32(θ′, ϕ′) + Y3−2(θ′, ϕ′)
  • Jos´

e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

238U as soft rotor with octupole deformations

Yu.V.Porodzinkij and E. Soukhovitdkii, Phys. At. Nuclei 59 (1996) 228

Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

Soft rotor model in (rigid) actinides

Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

Nuclear shape description

Soft (non-axial) rotor: all deformations (β′s, γ, η) are considered as dynamic quantities R(θ′, ϕ′) = R0

  • 1 + β2
  • cos γY20(θ′) + 1

√ 2 sin γ

  • Y22(θ′, ϕ′) + Y2−2(θ′, ϕ′)
  • +
  • λ=4,6....

βλ0Yλ0(θ′) + β3

  • cos ηY30(θ′) + 1

√ 2 sin η

  • Y32(θ′, ϕ′) + Y3−2(θ′, ϕ′)
  • Our approach: β2 = β0

2 + δβ2

Rigid rotor axial (static β0

2 ≃ β20) +

axial (δβ2, β3 cos η) and non-axial (δβ2 sin γ, β3 sin η) dynamic corrections R(θ′, ϕ′) = R0   1 +

  • βλ0Yλ0(θ′)

λ=2,4,6....

   +R0

  • δβ2Y20(θ′) + β0

2

1 √ 2 sin γ

  • Y22(θ′, ϕ′) + Y2−2(θ′, ϕ′)
  • + β3
  • cos ηY30(θ′) + 1

√ 2 sin η

  • Y32(θ′, ϕ′) + Y3−2(θ′, ϕ′)
  • Jos´

e Manuel Quesada Molina WONDER 2012

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SLIDE 24

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

Nuclear shape description

Soft (non-axial) rotor: all deformations (β′s, γ, η) are considered as dynamic quantities R(θ′, ϕ′) = R0

  • 1 + β2
  • cos γY20(θ′) + 1

√ 2 sin γ

  • Y22(θ′, ϕ′) + Y2−2(θ′, ϕ′)
  • +
  • λ=4,6....

βλ0Yλ0(θ′) + β3

  • cos ηY30(θ′) + 1

√ 2 sin η

  • Y32(θ′, ϕ′) + Y3−2(θ′, ϕ′)
  • Our approach: β2 = β0

2 + δβ2

Rigid rotor axial (static β0

2 ≃ β20) +

axial (δβ2, β3 cos η) and non-axial (δβ2 sin γ, β3 sin η) dynamic corrections R(θ′, ϕ′) = R0   1 +

  • βλ0Yλ0(θ′)

λ=2,4,6....

   +R0

  • δβ2Y20(θ′) + β0

2

1 √ 2 sin γ

  • Y22(θ′, ϕ′) + Y2−2(θ′, ϕ′)
  • + β3
  • cos ηY30(θ′) + 1

√ 2 sin η

  • Y32(θ′, ϕ′) + Y3−2(θ′, ϕ′)
  • Jos´

e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

Expanding around the equilibrium axially simmetric shape: V (r, θ′, ϕ′) =

  • V (r, θ′, ϕ′)
  • δβ2=0,β0

2sinγ=0,β3=0 +

∂ ∂R V (r, θ′, ϕ′)

  • δβ2=0,β0

2sinγ=0,β3=0

×

  • δβ2Y20(θ′) + 1

√ 2 β0

2 sin γ

  • Y22(θ′, ϕ′) + Y2−2(θ′, ϕ′)
  • +

β3

  • cos ηY30(θ′) + 1

√ 2 sin η

  • Y32(θ′, ϕ′) + Y3−2(θ′, ϕ′)

Which can be expanded in multipoles: V (r, θ′, ϕ′) =

  • λ

v(1)

λ (r)Yλ,0(θ′) +

  • λ

v(2)

λ (r)Yλ,0(θ′) ×

  • δβ2Yλ,0(θ′) + 1

√ 2 β0

2γ

  • Yλ,2(θ′, ϕ′) + Yλ,−2(θ′, ϕ′

+ β3

  • cos ηY30(θ′) + 1

√ 2 sin η

  • Y32(θ′, ϕ′) + Y3−2(θ′, ϕ′)

Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

< i|V (r, θ′, ϕ′)|f >=< (ljI)JM, K|

  • λ(even)

v(1)

λ (r)

  • Dλ

;0 · Yλ

  • |(l′j′I ′)JM, K ′ > +

< (ljI)JM, K|δβ2

  • λ=2,4,6,..

˜ v(2)

λ (r)

  • Dλ

;0 · Yλ

  • |(l′j′I ′)JM, K ′ > +

< (ljI)JM, K|β0

2γ

  • λ=2,4,6,..

˜ v(2)

λ (r) 1

√ 2

  • Dλ

;2 + Dλ ;−2

  • · Yλ
  • |(l′j′I ′)JM, K ′ > +

< (ljI)JM, K|β3 cos η

  • λ=3,5,7,..

˜ v(3)

λ (r)

  • Dλ

;0 · Yλ

  • |(l′j′I ′)JM, K ′ > +

< (ljI)JM, K|β3 sin η

  • λ=3,5,7,..

˜ v(3)

λ (r)

  • Dλ

;2 + Dλ ;−2

  • · Yλ
  • |(l′j′I ′)JM, K ′ >

< (ljI)JM, K|β2γ

  • λ=2,4,6,..

1 √ 2

  • Dλ

;2 + Dλ ;−2

  • · Yλ
  • |(l′j′I ′)JM, K ′ >=

A(lI; l′I ′; λJ) βeff

2 γ < IK|| 1

√ 2

  • Dλ

;2 + Dλ ;−2

  • ||I ′K ′ >

where these reduced matrix elements can be easily calculated, as for instance: < I0||

  • Dλ

;2 + Dλ ;−2

  • ||I ′2 >

= √ 2I ′ + 1 × √ 2 ×

  • < I ′λ2 − 2|I0 >

Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides Formalism

238U

First β, γ, octupole and non-axial bands are now included

Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

Content

1 Motivation

IAEA/NEA studies and recommendations

2 Dispersive Optical Model Potential with Full Lane consistency

(Capote, Soukhovitskii, Quesada, Chiba) Historical remarks Formalism New OMP results:

3 Backup slides

Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 29

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

RIPL 2408 χ2(238U) = 2.05 New OMP 19 CC χ2(238U) = 1.80

Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 30

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

IAS angular distributions

Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 31

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

n+238U total cross section

Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

DCC OMP low energy observables

(1) R. Capote et al, Nucl. Data Sheets 110 (2009) 3107-3214,

  • nline at http://www-nds.iaea.org/RIPL-3

(2) Yu.V. Porodzinskij, E.Sh. Sukhovitskij and V.M. Maslov, INDC(BLR)-012, IAEA, 1998

Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

238U: OMP observables intercomparison

Figure of merit

Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

238U: OMP observables intercomparison

238U: inelastic cross sections for level excitations Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

238U: OMP observables intercomparison

n+238U nonelastic cross section: EMPIRE 2412 OMP

Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 36

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

238U: OMP observables intercomparison

n+238U nonelastic cross section: EMPIRE 2412 OMP

Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 37

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

238U: OMP observables intercomparison

n+238U total cross section 10 keV < E < 1 MeV

Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 38

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

238U: OMP observables intercomparison

n+238U total cross section 0.5 MeV < E < 20 MeV

Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 39

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

238U: OMP observables intercomparison

σCN 40 keV < E < 20 MeV

Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 40

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

Dispersive OMP with improved structure model based on soft rotor description

New OMP derived for nucleon scattering on 238U and 232Th nuclei The use of proton and neutron scattering data (including quasielastic (p,n)) simultaneously made it possible to reduce the uncertainty of estimated optical potential parameters. OMP highlights:

Based on dispersive relations and Lane consistent Least-squares fit of OMP parameters from (n,n),(p,p) & (p,n)IAS CC couplings based on rigid rotor with soft rotor corrections (all discrete levels incl. octupole, beta, gamma, non-axial and 2 IAS) Energy independent geometry. Deformations close to those predicted by Nix and Moller (FRDM)

Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 41

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

Dispersive OMP with improved structure model based on soft rotor description

New OMP derived for nucleon scattering on 238U and 232Th nuclei The use of proton and neutron scattering data (including quasielastic (p,n)) simultaneously made it possible to reduce the uncertainty of estimated optical potential parameters. OMP highlights:

Based on dispersive relations and Lane consistent Least-squares fit of OMP parameters from (n,n),(p,p) & (p,n)IAS CC couplings based on rigid rotor with soft rotor corrections (all discrete levels incl. octupole, beta, gamma, non-axial and 2 IAS) Energy independent geometry. Deformations close to those predicted by Nix and Moller (FRDM)

Jos´ e Manuel Quesada Molina WONDER 2012

slide-42
SLIDE 42

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

Dispersive OMP with improved structure model based on soft rotor description

New OMP derived for nucleon scattering on 238U and 232Th nuclei The use of proton and neutron scattering data (including quasielastic (p,n)) simultaneously made it possible to reduce the uncertainty of estimated optical potential parameters. OMP highlights:

Based on dispersive relations and Lane consistent Least-squares fit of OMP parameters from (n,n),(p,p) & (p,n)IAS CC couplings based on rigid rotor with soft rotor corrections (all discrete levels incl. octupole, beta, gamma, non-axial and 2 IAS) Energy independent geometry. Deformations close to those predicted by Nix and Moller (FRDM)

Jos´ e Manuel Quesada Molina WONDER 2012

slide-43
SLIDE 43

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

Dispersive OMP with improved structure model based on soft rotor description

New OMP derived for nucleon scattering on 238U and 232Th nuclei The use of proton and neutron scattering data (including quasielastic (p,n)) simultaneously made it possible to reduce the uncertainty of estimated optical potential parameters. OMP highlights:

Based on dispersive relations and Lane consistent Least-squares fit of OMP parameters from (n,n),(p,p) & (p,n)IAS CC couplings based on rigid rotor with soft rotor corrections (all discrete levels incl. octupole, beta, gamma, non-axial and 2 IAS) Energy independent geometry. Deformations close to those predicted by Nix and Moller (FRDM)

Jos´ e Manuel Quesada Molina WONDER 2012

slide-44
SLIDE 44

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

Dispersive OMP with improved structure model based on soft rotor description

New OMP derived for nucleon scattering on 238U and 232Th nuclei The use of proton and neutron scattering data (including quasielastic (p,n)) simultaneously made it possible to reduce the uncertainty of estimated optical potential parameters. OMP highlights:

Based on dispersive relations and Lane consistent Least-squares fit of OMP parameters from (n,n),(p,p) & (p,n)IAS CC couplings based on rigid rotor with soft rotor corrections (all discrete levels incl. octupole, beta, gamma, non-axial and 2 IAS) Energy independent geometry. Deformations close to those predicted by Nix and Moller (FRDM)

Jos´ e Manuel Quesada Molina WONDER 2012

slide-45
SLIDE 45

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

Dispersive OMP with improved structure model based on soft rotor description

New OMP derived for nucleon scattering on 238U and 232Th nuclei The use of proton and neutron scattering data (including quasielastic (p,n)) simultaneously made it possible to reduce the uncertainty of estimated optical potential parameters. OMP highlights:

Based on dispersive relations and Lane consistent Least-squares fit of OMP parameters from (n,n),(p,p) & (p,n)IAS CC couplings based on rigid rotor with soft rotor corrections (all discrete levels incl. octupole, beta, gamma, non-axial and 2 IAS) Energy independent geometry. Deformations close to those predicted by Nix and Moller (FRDM)

Jos´ e Manuel Quesada Molina WONDER 2012

slide-46
SLIDE 46

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

Dispersive OMP with improved structure model based on soft rotor description

New OMP derived for nucleon scattering on 238U and 232Th nuclei The use of proton and neutron scattering data (including quasielastic (p,n)) simultaneously made it possible to reduce the uncertainty of estimated optical potential parameters. OMP highlights:

Based on dispersive relations and Lane consistent Least-squares fit of OMP parameters from (n,n),(p,p) & (p,n)IAS CC couplings based on rigid rotor with soft rotor corrections (all discrete levels incl. octupole, beta, gamma, non-axial and 2 IAS) Energy independent geometry. Deformations close to those predicted by Nix and Moller (FRDM)

Jos´ e Manuel Quesada Molina WONDER 2012

slide-47
SLIDE 47

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

Dispersive OMP with improved structure model based on soft rotor description

New OMP derived for nucleon scattering on 238U and 232Th nuclei The use of proton and neutron scattering data (including quasielastic (p,n)) simultaneously made it possible to reduce the uncertainty of estimated optical potential parameters. OMP highlights:

Based on dispersive relations and Lane consistent Least-squares fit of OMP parameters from (n,n),(p,p) & (p,n)IAS CC couplings based on rigid rotor with soft rotor corrections (all discrete levels incl. octupole, beta, gamma, non-axial and 2 IAS) Energy independent geometry. Deformations close to those predicted by Nix and Moller (FRDM)

Jos´ e Manuel Quesada Molina WONDER 2012

slide-48
SLIDE 48

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides New OMP results:

Thanks for your attention

Jos´ e Manuel Quesada Molina WONDER 2012

slide-49
SLIDE 49

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides

Bibliography

  • A. Molina R. Capote, J. M. Quesada and M. Lozano, “ Dispersive spherical optical model of neutron

scattering from 27Al up to 250 MeV ” Physical Review C65 034616 (2002)

  • J. M. Quesada, R. Capote, A. Molina and M. Lozano, “Dispersion relations in the nuclear optical model”

Computer Physics Communications 153 (2003) 97-105 J.M. Quesada, A. Molina, M. Lozano, R. Capote and J.Raynal,“ Analytical expressions for the dispersive contributions to the nucleon-nucleus optical potential ” Physical Review C67 067601 (2003)

  • E. Sh. Soukhovitskii, R. Capote, J. M. Quesada and S. Chiba, “Dispersive coupled-channel analisis of

nucleon scattering from 232Th up to 200 MeV” Physical Review C72 024604 (2005)

  • E. Sh. Soukhovitskii, R. Capote, J. M. Quesada and S. Chiba, “Dispersive coupled-channel analisis of

nucleon scattering from 232Th up to 200 MeV” , Physical Review C72, 024604 (2005)

  • R. Capote, E. Sh. Soukhovitskii, J. M. Quesada and S. Chiba, “Is a global coupled-channel dispersive
  • ptical model potential for actinides feasible?”, Physical Review C72, 064610 (2005)
  • N. T. Okumusoglu, F. Korkmaz Gorur, J. Birchall, E. Sh. Souhovitskii, R. Capote, J. M. Quesada and S.

Chiba, “Angular distributions of protons scattered by 40Ar nuclei with excitation of the 2+(1.46 MeV) and 3- (3.68 MeV) collective levels for incident energies of 25.1, 32.5 and 40.7 MeV”, Physical Review C75, 034616 (2007)

  • J. M. Quesada, R. Capote, E. Sh. Soukhovitskii and S. Chiba, “Approximate Lane consistency of the

dispersive coupled.channels potential for actinides”, Physical Review C76 057602 (2007) Capote, R; Chiba, S; Soukhovitskii, ES; Quesada, JM and Bauge, E, “A Global Dispersive Coupled-Chanel Optical Model Potential for Actinides”, Journal of Nuclear Science and Technology 45,(4) 333-340 (2008)

  • W. L. Sun, L. J. Hao, E. Sh Soukhovitskii, R. Capote, and J. M. Quesada, “Description of analyzing

power and (p,n) reaction by a global dispersive coupled-channel optical model potential”, 7th Japan-China Joint Nuclear Physics Symposium, AIP Conference Proceedings 2010; 1235(1):43 - 4, University of Tsukuba, Ibaraki (Japan) November, 9-13 2009 Jos´ e Manuel Quesada Molina WONDER 2012

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Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides

238U: OMP observables intercomparison

Direct inelastic cross sections

Jos´ e Manuel Quesada Molina WONDER 2012

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SLIDE 51

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides

Very last results for 238U

Table: DCC OMP parameters for 238U, EMPIRE 2412, full coupling. VOLUME SURFACE SPIN-ORBIT

  • COULOMB

Real depth V0 = 51.13 Vso = 5.94 CCoul = 1.10 [MeV] λHF = 0.00976 dispersive ∆VS λso = 0.005 Cviso = 20.9 + dispersive ∆VSO + dispersive ∆VV Imaginary depth Av = 11.91 W0 = 17.85 Wso = −3.1 [MeV] Bv = 81.69 Bs = 10.95 Bso = 160 Ea = 52 α = 0.375 Cs = 0.01334 Cwiso = 29.2 Geometry rHF = 1.2500 rs = 1.1701 rso = 1.1214 rc = 1.1974 [fm] aHF = 0.638 as = 0.612 aso = 0.59 ac = 0.400 rv = 1.2619 av = 0.693

238U: STATIC: β2 = 0.23; β4 = 0.06; β6 = −0.0064 DYNAMIC: βeff β

= 0.008 ; βeff

  • ct = 0.055; βeff

γ

== 0.010; βeff

non−axial = 0.02

Jos´ e Manuel Quesada Molina WONDER 2012

slide-52
SLIDE 52

Motivation Dispersive Optical Model Potential with Full Lane consistency (Capote, Soukhovitskii, Quesada, Chiba) Backup slides

Couplings GS band ← → IAS band

< ν; I +(residual)|V (τ, r)|π; I +(target) > = < ν|T |π >< I +(residual)|V diag

1

( r)(|I +(target) > =

  • (N − Z)

2A < I +(residual)|V diag

1

( r)|I +(target) > < ν; I +′(residual)|V (τ, r)|π; I +(target) > = < ν|T |π >< I +′(residual)|V coupl

1

( r)(|I +(target) > =

  • (N − Z)

2A < I +′(residual)|V coupl

1

( r)|I +(target) >

Jos´ e Manuel Quesada Molina WONDER 2012