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Probing effect of tensor interactions in nuclei via (p, d) reaction - - PowerPoint PPT Presentation

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Probing effect of tensor interactions in nuclei via (p, d) reaction Guo Chenlei (On behalf of RCNP-E396) Research Center of Nuclear Science and Technology ( RCNST ) Beihang University C.L. Guo 1 Contents Physics Motivation ( Already

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C.L. Guo

Guo Chenlei

(On behalf of RCNP-E396)

Research Center of Nuclear Science and Technology (RCNST) Beihang University

Probing effect of tensor interactions in nuclei via (p, d) reaction

1

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C.L. Guo

 Physics Motivation (Already talked a lot in this symposium…)  Experiments in RCNP, Osaka  Preliminary results & Discussion  Summary & Acknowledgments

Contents

Contents 2

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C.L. Guo Experiments in RCNP 3

Nucleon pick-up reaction( 12C(p,d) &16O(p,d) ) @ RCNP, Osaka

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C.L. Guo Experiments in RCNP 3

Nucleon pick-up reaction( 12C(p,d) &16O(p,d) ) @ RCNP, Osaka

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C.L. Guo Experiments in RCNP 3

Nucleon pick-up reaction( 12C(p,d) &16O(p,d) ) @ RCNP, Osaka

Further question has been asked: reaction mechanism effect at finite angle

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C.L. Guo Experiments in RCNP 3

Nucleon pick-up reaction( 12C(p,d) &16O(p,d) ) @ RCNP, Osaka

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C.L. Guo

Nucleon pick-up reaction( 12C(p,d) &16O(p,d) ) @ RCNP, Osaka

Configuration difference for 16O & 12C

Experiments in RCNP 1p3/2 1d5/2 1s1/2 1p3/2 1s1/2 1p1/2 1p1/2

16O 12C

proton neutron proton neutron 4 2s1/2

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SLIDE 8

C.L. Guo

Nucleon pick-up reaction( 12C(p,d) &16O(p,d) ) @ RCNP, Osaka

Configuration difference for 16O & 12C

Experiments in RCNP 1p3/2 1d5/2 1s1/2 1p3/2 1s1/2 1p1/2 1p1/2

15O 12C

proton neutron proton neutron 4 2s1/2

15O: negative parity ground state (Jπ=1/2-)

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SLIDE 9

C.L. Guo

Nucleon pick-up reaction( 12C(p,d) &16O(p,d) ) @ RCNP, Osaka

Configuration difference for 16O & 12C

Experiments in RCNP 1p3/2 1d5/2 1s1/2 1p3/2 1s1/2 1p1/2 1p1/2

15O 12C

proton neutron proton neutron 4 2s1/2

15O: negative parity ground state (Jπ=1/2-)

negative parity excited state (Jπ=3/2-)

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SLIDE 10

C.L. Guo

Nucleon pick-up reaction( 12C(p,d) &16O(p,d) ) @ RCNP, Osaka

Configuration difference for 16O & 12C

Experiments in RCNP 1p3/2 1d5/2 1s1/2 1p3/2 1s1/2 1p1/2 1p1/2

15O 11C

proton neutron proton neutron 4 2s1/2

15O: negative parity ground state (Jπ=1/2-)

negative parity excited state (Jπ=3/2-)

11C: negative parity ground state (Jπ=3/2-)

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SLIDE 11

C.L. Guo

Nucleon pick-up reaction( 12C(p,d) &16O(p,d) ) @ RCNP, Osaka

Configuration difference for 16O & 12C

Experiments in RCNP 1p3/2 1d5/2 1s1/2 1p3/2 1s1/2 1p1/2 1p1/2

15O 11C

proton neutron proton neutron 4 2s1/2

15O: negative parity ground state (Jπ=1/2-)

negative parity excited state (Jπ=3/2-)

11C: negative parity ground state (Jπ=3/2-)

negative parity excited state (Jπ=1/2-)

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C.L. Guo 1d5/2 2s1/2

Nucleon pick-up reaction( 12C(p,d) &16O(p,d) ) @ RCNP, Osaka

Configuration difference for 16O & 12C

Experiments in RCNP

Tensor selection rule: ∆L=2, ∆s=2, ∆J=0

1p3/2 1s1/2

π

1p3/2 1s1/2 1p1/2 1p1/2

π

12C

4 proton neutron proton neutron

16O

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SLIDE 13

C.L. Guo

Nucleon pick-up reaction( 12C(p,d) &16O(p,d) ) @ RCNP, Osaka

Configuration difference for 16O & 12C

Ground state of 16O (Jπ=0+): mixing of 2p-2h configuration

Tensor selection rule: ∆L=2, ∆s=2, ∆J=0

1p3/2 1s1/2 1p3/2 1s1/2 1p1/2 1p1/2

Ground state of 12C (Jπ=0+): mixing of 2p-2h configuration

Experiments in RCNP

12C

4 1d5/2 2s1/2

16O

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SLIDE 14

C.L. Guo

Nucleon pick-up reaction( 12C(p,d) &16O(p,d) ) @ RCNP, Osaka

Configuration difference for 16O & 12C Tensor selection rule: ∆L=2, ∆s=2, ∆J=0

1p3/2 1s1/2 1p1/2

Ground state of 12C (Jπ=0+): mixing of 2p-2h configuration

Experiments in RCNP 1p3/2 1s1/2 1p1/2

12C

Ground state of 16O (Jπ=0+): mixing of 2p-2h configuration → 15O: positive parity excited state (Jπ=5/2+)

4 1d5/2 2s1/2

15O

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SLIDE 15

C.L. Guo

Nucleon pick-up reaction( 12C(p,d) &16O(p,d) ) @ RCNP, Osaka

Configuration difference for 16O & 12C Tensor selection rule: ∆L=2, ∆s=2, ∆J=0

1p3/2 1s1/2 1p3/2 1s1/2 1p1/2 1p1/2 Experiments in RCNP

11C

Ground state of 16O (Jπ=0+): mixing of 2p-2h configuration → 15O: positive parity excited state (Jπ=5/2+) Ground state of 12C (Jπ=0+): mixing of 2p-2h configuration → 11C: ground state (Jπ=3/2-)

4 1d5/2 2s1/2

15O

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SLIDE 16

C.L. Guo

Nucleon pick-up reaction( 12C(p,d) &16O(p,d) ) @ RCNP, Osaka

Configuration difference for 16O & 12C Tensor selection rule: ∆L=2, ∆s=2, ∆J=0

1p3/2 1s1/2 1p3/2 1s1/2 1p1/2 1p1/2 Experiments in RCNP

11C

Ground state of 16O (Jπ=0+): mixing of 2p-2h configuration → 15O: positive parity excited state (Jπ=5/2+) Ground state of 12C (Jπ=0+): mixing of 2p-2h configuration → 11C: ground state (Jπ=3/2-) excited state (Jπ=1/2-)

4 1d5/2 2s1/2

15O

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C.L. Guo Experiments in RCNP 5

16O target: Mylar (C10H8O4) 12C target: CD2

Scattering angle: 0o ~ 10 10o

Nucleon pick-up reaction( 12C(p,d) &16O(p,d) ) @ RCNP, Osaka

Grand RAIDEN Spectrometer p/Δp~37000

Beam energy: 392 MeV/nucleon Beam Intensity: 10 nA Energy resolution ≤ 150keV (Achromatic mode) Focal Plane Detector: Two Plastic scintillator for ΔE & TOF Two VDCs (drift chamber) for position and angle (x,dx,y,dy)

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SLIDE 18

C.L. Guo Experiments in RCNP 5

Nucleon pick-up reaction( 12C(p,d) &16O(p,d) ) @ RCNP, Osaka

Grand RAIDEN Spectrometer p/Δp~37000

Beam energy: 392 MeV/nucleon Beam Intensity: 10 nA Energy resolution ≤ 150keV (Achromatic mode) Focal Plane Detector: Two Plastic scintillator for ΔE & TOF Two VDCs (drift chamber) for position and angle (x,dx,y,dy)

16O target: Mylar (C10H8O4) 12C target: CD2

Scattering angle: 0o ~ 10 10o

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C.L. Guo Experiments in RCNP 5

Nucleon pick-up reaction( 12C(p,d) &16O(p,d) ) @ RCNP, Osaka

Grand RAIDEN Spectrometer p/Δp~37000

Beam energy: 392 MeV/nucleon Beam Intensity: 10 nA Energy resolution ≤ 150keV (Achromatic mode) Focal Plane Detector: Two Plastic scintillator for ΔE & TOF Two VDCs (drift chamber) for position and angle (x,dx,y,dy)

16O target: Mylar (C10H8O4) 12C target: CD2

Scattering angle: 0o ~ 10 10o

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C.L. Guo 6 Preliminary results and discussion

18.5MeV: Phys. Rev. 129, 272 (1963) 19MeV: Phys. Rev. 129, 272 (1963) 30.3MeV: Nucl. Phys. A 99, 669 (1967) 45MeV: Phys. Rev. 187, 1246 (1969) 65MeV: Nucl. Phys. A 255, 187 (1975) 100MeV: Nucl. Phys. A 106, 357 (1968) 200MeV: Phys. Rev. C 39, 65 (1989) 800MeV: Phys. Rev. C 30, 593 (1984) E314 198MeV & 295MeV & 392MeV: Phys. Lett. B 725, 277 (2013)

16O(p,d)15O: 1/2-

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C.L. Guo

18.5MeV: Phys. Rev. 129, 272 (1963) 19MeV: Phys. Rev. 129, 272 (1963) 30.3MeV: Nucl. Phys. A 99, 669 (1967) 45MeV: Phys. Rev. 187, 1246 (1969) 65MeV: Nucl. Phys. A 255, 187 (1975) 100MeV: Nucl. Phys. A 106, 357 (1968) 200MeV: Phys. Rev. C 39, 65 (1989) 800MeV: Phys. Rev. C 30, 593 (1984) E314 198MeV & 295MeV & 392MeV: Phys. Lett. B 725, 277 (2013)

6 Preliminary results and discussion

16O(p,d)15O: 1/2- 16O(p,d)15O: 5/2+

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C.L. Guo

18.5MeV: Phys. Rev. 129, 272 (1963) 19MeV: Phys. Rev. 129, 272 (1963) 30.3MeV: Nucl. Phys. A 99, 669 (1967) 45MeV: Phys. Rev. 187, 1246 (1969) 65MeV: Nucl. Phys. A 255, 187 (1975) 100MeV: Nucl. Phys. A 106, 357 (1968) 200MeV: Phys. Rev. C 39, 65 (1989) 800MeV: Phys. Rev. C 30, 593 (1984) E314 198MeV & 295MeV & 392MeV: Phys. Lett. B 725, 277 (2013)

6 Preliminary results and discussion

16O(p,d)15O: 1/2- 16O(p,d)15O: 5/2+ 16O(p,d)15O: 3/2-

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C.L. Guo 6 Preliminary results and discussion

12C(p,d)11C: 3/2-

30.3MeV: Nucl. Phys. A 99, 669 (1967) 51.93MeV: J. Phys. Journal 48, 1812 (1980) 61MeV: Phys. Rev. C 8,1045 (1973) 65MeV: Nucl. Phys. A 255, 187 (1975) 100MeV: Nucl. Phys. A 106, 357 (1968) 800MeV: Phys. Rev. C 30, 593 (1984) E314 198MeV & 295MeV & 392MeV: Phys. Lett. B 725, 277 (2013)

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C.L. Guo

30.3MeV: Nucl. Phys. A 99, 669 (1967) 51.93MeV: J. Phys. Journal 48, 1812 (1980) 61MeV: Phys. Rev. C 8,1045 (1973) 65MeV: Nucl. Phys. A 255, 187 (1975) 100MeV: Nucl. Phys. A 106, 357 (1968) 800MeV: Phys. Rev. C 30, 593 (1984) E314 198MeV & 295MeV & 392MeV: Phys. Lett. B 725, 277 (2013)

6 Preliminary results and discussion

16O(p,d)15O:1/2- 12C(p,d)11C: ½- 12C(p,d)11C: 3/2-

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C.L. Guo

30.3MeV: Nucl. Phys. A 99, 669 (1967) 51.93MeV: J. Phys. Journal 48, 1812 (1980) 61MeV: Phys. Rev. C 8,1045 (1973) 65MeV: Nucl. Phys. A 255, 187 (1975) 100MeV: Nucl. Phys. A 106, 357 (1968) 800MeV: Phys. Rev. C 30, 593 (1984) E314 198MeV & 295MeV & 392MeV: Phys. Lett. B 725, 277 (2013)

6 Preliminary results and discussion

16O(p,d)15O:1/2- 12C(p,d)11C: 1/2- 12C(p,d)11C: 3/2- 12C(p,d)11C: 5/2-

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C.L. Guo

30.3MeV: Nucl. Phys. A 99, 669 (1967) 51.93MeV: J. Phys. Journal 48, 1812 (1980) 61MeV: Phys. Rev. C 8,1045 (1973) 65MeV: Nucl. Phys. A 255, 187 (1975) 100MeV: Nucl. Phys. A 106, 357 (1968) 800MeV: Phys. Rev. C 30, 593 (1984) E314 198MeV & 295MeV & 392MeV: Phys. Lett. B 725, 277 (2013)

6 Preliminary results and discussion

16O(p,d)15O:1/2- 12C(p,d)11C: 1/2- 12C(p,d)11C: 3/2- 12C(p,d)11C: 5/2- 12C(p,d)11C: 3/2-

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C.L. Guo 6 Preliminary results and discussion

45MeV: Phys. Rev. 187, 1246 (1969) 65MeV: Nucl. Phys. A 255, 187 (1975) 100MeV: Nucl. Phys. A 106, 357 (1968) 200MeV: Phys. Rev. C 39, 65 (1989) E314 198MeV & 295MeV & 392MeV: Phys. Lett. B 725, 277 (2013) 800MeV: Phys. Rev. C 30, 593 (1984)

As long as ratio is concerned, 0o data and finite angle data are consistent with each

  • ther. Therefore reaction mechanism effect

is negligible and we obtain the conclusion same as Ong, et. al..

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C.L. Guo 6 Preliminary results and discussion

CDCC-BA

  • CDCC-BA calculation with

known spectroscopic factors: ✓ qualitatively agree with ratios for the neutron-hole states (3/2- to 1/2-) ✓ cannot explain the ratios for the positive-parity state (5/2+ to 1/2-)

  • Two(Multi)-step process does

not help

  • TOSCOM-type momentum

wave functions that include high- momentum components “fit” the data well.

45MeV: Phys. Rev. 187, 1246 (1969) 65MeV: Nucl. Phys. A 255, 187 (1975) 100MeV: Nucl. Phys. A 106, 357 (1968) 200MeV: Phys. Rev. C 39, 65 (1989) E314 198MeV & 295MeV & 392MeV: Phys. Lett. B 725, 277 (2013) 800MeV: Phys. Rev. C 30, 593 (1984)

  • T. M

Myo, PTP 1 117 ( 7 (200 2007) 25 257. Among the ratio of cross sections of excited states (5/2+ & 3/2-) to ground state of 15O, stronger momentum dependence is observed for the 5/2+ state, which is indicated to be consistent with the effect of tensor interaction

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SLIDE 29

C.L. Guo

30.3MeV: Nucl. Phys. A 99, 669 (1967) 65MeV: Nucl. Phys. A 255, 187 (1975) 100MeV: Nucl. Phys. A 106, 357 (1968) 800MeV: Phys. Rev. C 30, 593 (1984) E314 198MeV & 295MeV & 392MeV: Phys. Lett. B 725, 277 (2013)

6 Preliminary results and discussion

CDCC-BA

By comparing the ratio of cross sections of ground state (3/2-) and excited state (1/2-) of

11C to ground state of 15O, respectively, we

  • bserved a difference in the momentum

transfer dependence in 11C and 15O ground state, which is also indicated to be consistent with the effect of tensor interaction.

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SLIDE 30

C.L. Guo  Tensor force is the important part of nuclear force.  Nucleon pick-up reaction is a good tool to probe the high-momentum component.  We have studied the high-momentum neutrons in the initial gs-configuration by (p,d) reactions.

  • Among the ratio of cross sections of excited states (5/2+ & 3/2-) to ground state of 15O,

stronger momentum dependence is observed for the 5/2+ state, which is indicated to be consistent with the effect of tensor interaction.

  • As long as ratio is concerned, 0o data and finite angle data are consistent with each other.

Therefore reaction mechanism effect is negligible and we obtain the conclusion same as Ong,

  • et. al..
  • By comparing the ratio of cross sections of ground state (3/2-) and excited state (1/2-) of 11C

to ground state of 15O, respectively, we observed a difference in the momentum transfer dependence in 11C and 15O ground state, which is also indicated to be consistent with the effect of tensor interaction.

Summary

7 Summary

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C.L. Guo 8 Acknowledgments

RCNP-E396 Collaboration

RCNP

  • H. J. Ong, I. Tanihata, N. Aoi, Y. Ayyad,
  • T. Hashimoto, A. Inoue, T. Ito, C. Iwamoto, K. Miki,

M.Miura, K.Ogata, Y. Ogawa, A. Tamii, D.T. Tran, H.Toki, T. Yamamoto Beihang Univ.

  • S. Terashima, C.L. Guo, X.Y. Le, W.W. Qu,

B.H. Sun, T.F. Wang, L. Yu, G.L. Zhang Osaka Inst. of Tech. T. Myo Osaka Univ.

  • M. Fukuda, K. Matsuta, M. Mihara

Tsukuba Univ.

  • A. Ozawa

RIKEN Nishina Center

  • J. Zenihiro

Kyoto Univ.

  • T. Kawabata, Y. Matsude
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C.L. Guo 8 Acknowledgments

RCNP-E396 Collaboration

RCNP

  • H. J. Ong, I. Tanihata, N. Aoi, Y. Ayyad,
  • T. Hashimoto, A. Inoue, T. Ito, C. Iwamoto, K. Miki,

M.Miura, K.Ogata, Y. Ogawa, A. Tamii, D.T. Tran, H.Toki, T. Yamamoto Beihang Univ.

  • S. Terashima, C.L. Guo, X.Y. Le, W.W. Qu,

B.H. Sun, T.F. Wang, L. Yu, G.L. Zhang Osaka Inst. of Tech. T. Myo Osaka Univ.

  • M. Fukuda, K. Matsuta, M. Mihara

Tsukuba Univ.

  • A. Ozawa

RIKEN Nishina Center

  • J. Zenihiro

Kyoto Univ.

  • T. Kawabata, Y. Matsude
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C.L. Guo Theoretical Calculation 4

  • The most important origin of the momentum distribution is the movement of nucleons in a

nuclear potential and typically expressed by Fermi momentum (mainly momentum below 1 fm-1).

  • The momentum distributions are also affected by the n–n correlations. One of the well-known
  • rigins is the short-range repulsion of the central forces.
  • The tensor forces also give a characteristic range in the n–n interaction and make a large

contribution at momentum at around 2 fm−1.