( ) ( ) B 7 8 7 8 Li n, Li and Be p, Xilin Zhang - - PowerPoint PPT Presentation

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Radiative capture study by combining EFT with ab initio calculations: ( ) ( ) B 7 8 7 8 Li n, Li and Be p, Xilin Zhang (Ohio University) Nuclear Theory Group Seminar, LANL, Jan 15, 2014 X. Z, K. M. Nollett and D. R.

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SLIDE 1

Radiative capture study by combining EFT with ab initio calculations:

Xilin Zhang (Ohio University)

( ) ( ) B

γ p, Be and Li γ n, Li

8 7 8 7

Nuclear Theory Group Seminar, LANL, Jan 15, 2014

  • X. Z, K. M. Nollett and D. R. Phillips, arXiv:1311.6822; 1401.xxxx
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SLIDE 2

Outline

  • Motivations
  • A toy model: spinless nucleon and core
  • Li7 capture: spins, core excitation, leading order

(LO) results

  • Be7 capture: nonperturbative Coulomb, LO

results

  • Outlook: Next-to-LO
  • My other works: neutrino-nucleus, jet quenching

in heavy ion collision, cold nuclear matter

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SLIDE 3

Motivations

Astrophysics

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SLIDE 4
  • W. C. Haxton et.al., arXiv:1208.5723

Solar neutrino generation

Not experimentally accessible

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SLIDE 5

Li7 capture is used to constrain models of Be7 capture.

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SLIDE 6

A toy model

n c c n − γ

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SLIDE 7

Gross features: p-wave

1/17/2014 7

Shallow p-wave bound state 5 . ~ MeV 8 . 57 2 ~ MeV 100 ~ 2 ~

8 71 7 43

Λ = Λ γ γ

Li Li

B M B M

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SLIDE 8

Gross features: s-wave

1/17/2014 8

MeV 100 ≈ Λ

Large s-wave scattering length

  • L. Koester, K. Knopf, and W. Waschkowski, Z. Phys. A 312, 81 (1983)
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SLIDE 9

S-wave in EFT

Effective range expansion (ERE): Natural

Λ Λ 1 ~ and 1 ~ r a

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SLIDE 10

S-wave in EFT

Effective range expansion (ERE): Natural Unnatural

Λ 1 ~ but 1 ~ r a γ Λ Λ 1 ~ and 1 ~ r a

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SLIDE 11

S-wave in EFT

+

=

... +

One parameter: g (or a0)

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SLIDE 12

P-wave in EFT

Shallow p-wave bound state:

Λ Λ ~ and 1 ~

1 2 1

r a γ

Natural Unnatural

2 1 1

4 2 1 1

= + + γ γ r a

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SLIDE 13

P-wave in EFT

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SLIDE 14

P-wave in EFT

=

+

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SLIDE 15

P-wave in EFT

=

+

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SLIDE 16

P-wave in EFT

=

+

Two parameters: Delta and h (or a1 and r1)

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SLIDE 17

P-wave in EFT

Asymptotic normalization coefficient (ANC)

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SLIDE 18

P-wave in EFT

2 1 1 3 2

3 2 1 1 1 2 2

= + + + − = γ γ γ γ r a r C

) and (or and

1 1

∆ h r a

  • K. M. Nollett et.al., PRC 83, 041001 (2011)

Asymptotic normalization coefficient (ANC)

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SLIDE 19

Radiative capture: LO

Halo-EFT parameters S wave scattering length

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SLIDE 20

Radiative capture: LO

Halo-EFT parameters S wave scattering length C

~ 1 ~ , 1 ~ 1 ~ Λ ⇒ Λ ⇒ γ γ X a X a

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SLIDE 21

( )

Li γ n, Li

8 7

  • G. Rupak and R. Higa, Phys. Rev. Lett. 106, 222501 (2011)
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SLIDE 22

1/17/2014 22

Scales, spins, core excitations

*

E

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SLIDE 23

1/17/2014 23

Scales, spins, core excitations

*

E

, : n Li7 IS , , : n Li7 IS

1 * 3 * 1 * 2 5 1 3

S S D S S + +

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SLIDE 24

1/17/2014 24

Scales, spins, core excitations

*

E

2 * 3 * 2 5 2 3

: n Li7 ) FS(2 , : n Li7 ) FS(2 P P P + +

+ +

, : n Li7 IS , , : n Li7 IS

1 * 3 * 1 * 2 5 1 3

S S D S S + +

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SLIDE 25

1/17/2014 25

Scales, spins, core excitations

*

E

1 * 3 1 * 1 * 1 5 1 3

, : n Li7 ) FS(1 , : n Li7 ) FS(1 P P P P + +

+ + 2 * 3 * 2 5 2 3

: n Li7 ) FS(2 , : n Li7 ) FS(2 P P P + +

+ +

, : n Li7 IS , , : n Li7 IS

1 * 3 * 1 * 2 5 1 3

S S D S S + +

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SLIDE 26

Scales, spins, core excitations

1/17/2014 26

MeV 300 100 − ≈ Λ

  • L. Koester, K. Knopf, and W. Waschkowski, Z. Phys. A 312, 81 (1983)
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SLIDE 27

EFT

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SLIDE 28

EFT

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SLIDE 29

EFT

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SLIDE 30

EFT

>>

2 =

i

S 1 =

i

S 1 =

i

S

One fine tuning in S wave

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SLIDE 31

+ + 1

, 2

+ + 1

, 2

=

+ +

+ + 1

, 2

EFT

>> ~

2 =

i

S 1 =

i

S 1 =

i

S

One fine tuning in S wave One fine tuning in P wave

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SLIDE 32

P-wave

=

+ +

+

2

  • L. Trache,et.al., Phys. Rev. C 67, 062801(R) (2003)
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SLIDE 33

P-wave

=

+ +

+

2

  • L. Trache,et.al., Phys. Rev. C 67, 062801(R) (2003)

4 parameters: 3 h + 1 Delta,

  • r 3 C + gamma
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SLIDE 34

P-wave

=

+ +

+

2

  • L. Trache,et.al., Phys. Rev. C 67, 062801(R) (2003)

4 parameters: 3 h + 1 Delta,

  • r 3 C + gamma

5 parameters

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SLIDE 35

Radiative captures: LO

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SLIDE 36

Radiative captures: LO

>>

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SLIDE 37

Radiative captures: LO

>>

~ 1 ~ , 1 ~ 1 ~ Λ ⇒ Λ ⇒ γ γ X a X a

Initial total spin Si=2

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SLIDE 38

+

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SLIDE 39

+

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SLIDE 40

LO results on Li7(n,gamma)Li8(Li8*)

1/17/2014 40

  • N. K. Timofeyuk et.al., PRL 91, 232501 (2003); D. Howell et.al., PRC 88, 025804 (2013);
  • D. Gul’ko et.al., SJNP 6, 477 (1968); E. Lynn et.al., PRC 44, 764 (1991);
  • Y. Nagai et. al., PRC 71, 055803 (2005); J. C. Blackmon et. al., PRC 54, 383 (1996); J. E. Lynn et. al., PRC

44, 764 (1991); M. Heil et.al., Astro. J. 507, 997 (1998); W. L. Imhof et.al., PR 114, 1037 (1959).

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SLIDE 41

1/17/2014 41

0.86] [>

  • A. D. Gul’ko, S. S. Trostin, and A. Hudoklin, Sov. J. Nucl. Phys. 6, 477 (1968);
  • J. E. Lynn, E. T. Jurney, and S. Raman, Phys. Rev. C 44, 764 (1991);
  • Y. Nagai et. al., Phys. Rev. C 71, 055803 (2005).

LO results on Li7(n,gamma)Li8(Li8*)

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SLIDE 42

1/17/2014 42

0.86] [>

  • A. D. Gul’ko, S. S. Trostin, and A. Hudoklin, Sov. J. Nucl. Phys. 6, 477 (1968);
  • J. E. Lynn, E. T. Jurney, and S. Raman, Phys. Rev. C 44, 764 (1991);
  • Y. Nagai et. al., Phys. Rev. C 71, 055803 (2005).

LO results on Li7(n,gamma)Li8(Li8*)

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SLIDE 43

1/17/2014 43

0.86] [>

0.89(1)] [

  • A. D. Gul’ko, S. S. Trostin, and A. Hudoklin, Sov. J. Nucl. Phys. 6, 477 (1968);
  • J. E. Lynn, E. T. Jurney, and S. Raman, Phys. Rev. C 44, 764 (1991);
  • Y. Nagai et. al., Phys. Rev. C 71, 055803 (2005).

LO results on Li7(n,gamma)Li8(Li8*)

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SLIDE 44

( ) B

γ p, Be

8 7

  • It is considered as isospin mirror of Li7

capture on the nucleon level

  • From EFT/core+proton picture, they are

quite different due to strong Coulomb effect

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SLIDE 45

Nonperturbative Coulomb effect

1 ~ k kC ≡ η

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SLIDE 46

Nonperturbative Coulomb effect

1 ~ k kC ≡ η

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SLIDE 47

Nonperturbative Coulomb effect

1 ~ k kC ≡ η

Kummer function Coulomb barrier, and phase

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SLIDE 48

ERE in EFT

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SLIDE 49

ERE in EFT

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SLIDE 50

ERE in EFT

One parameter: g (or a0) Two parameters: Delta and h (or a1 and r1)

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SLIDE 51

1/17/2014 51

2 .

*

E

Shallow bound state

1 ~ k kC = η

Scales, spins, core excitations

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SLIDE 52

1/17/2014 52

*

E

2 * 3 * 2 5 2 3

: p Be7 ) FS(2 , : p Be7 ) FS(2 P P P + +

+ +

, : p Be7 IS , , : p Be7 IS

1 * 3 * 1 * 2 5 1 3

S S D S S + +

Repeat

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SLIDE 53

=

+ +

P-wave

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SLIDE 54

=

+ +

P-wave

4 parameters: 3 h + 1 Delta, or 3 C + gamma

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SLIDE 55

Radiative captures: LO

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SLIDE 56

Radiative captures: LO

Initial total spin Si=1

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SLIDE 57

Radiative captures: LO

Initial total spin Si=1

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SLIDE 58

Radiative captures: LO

Initial total spin Si=1

h W n G j F → → →

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SLIDE 59

Radiative captures: LO

×

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SLIDE 60

1/17/2014 60

LO results on Be7(p,gamma)B8

  • P. Navratil, R. Roth and S. Quaglioni, Phys. Lett. B 704, 379 (2011);
  • C. Angulo et. al., Nucl. Phys. A 716, 211 (2003);
  • G. Tabacaru, et. al., Phys. Rev. C 73, 025808 (2006)
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SLIDE 61

1/17/2014 61

LO results on Be7(p,gamma)B8

One standard deviation in S-wave scattering lengths

  • P. Navratil, R. Roth and S. Quaglioni, Phys. Lett. B 704, 379 (2011)
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SLIDE 62

1/17/2014 62

LO results on Be7(p,gamma)B8

One standard deviation in S-wave scattering lengths Need better measurement of S-wave scattering lengths and/or effective ranges to extrapolate data to zero energy

  • P. Navratil, R. Roth and S. Quaglioni, Phys. Lett. B 704, 379 (2011)
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SLIDE 63

LO results on Be7(p,gamma)B8

  • L. T. Baby, et. al., [ISOLDE Collaboration], Phys. Rev.Lett. 90, 022501 (2003);
  • F. Hammache, et. al., Phys. Rev. Lett. 86, 3985 (2001);
  • F. Strieder, et. al., Nucl. Phys. A 696, 219 (2001);
  • B. W. Filippone, et. al., Phys. Rev. C 28, 2222 (1983);
  • A. R. Junghans, et. al., Phys. Rev. C 68, 065803 (2003);
  • A. R. Junghans, et. al., Phys. Rev. C 81, 012801 (2010).

Fit to 0<E<50 keV

  • E. G. Adelberger, et al., Rev. Mod. Phys. 83, 195 (2011)
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SLIDE 64

Summary

  • EFT (power counting)+ab initio works as

expected at LO

  • LO need s-wave scattering length, p-wave

ANCs, and binding momentum

  • The p-wave is a coupled-channel problem
  • For Be7 capture, improving s-wave

measurement is important for extrapolating data to stellar energies.

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SLIDE 65

Outlook: NLO

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SLIDE 66

Outlook: NLO

  • Need to fix higher order

couplings, i.e., need more “observables”.

  • Extract from ab initio

calculations?

  • Change the boundary

conditions?

  • Change the background

fields?

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SLIDE 67

Outlook: NLO

  • Need to fix higher order

couplings, i.e., need more “observables”.

  • Extract from ab initio

calculations?

  • Change the boundary

conditions?

  • Change the background

fields?

  • Another approach by using

data?

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SLIDE 68

Other works

  • Neutrino-nucleus interactions (GeV): neutral-

current induced photon (motivated by MiniBooNE low energy excess), pion productions, nuclear effects [with Brian Serot]

  • Jet quenching in heavy ion collisions: initial state

fluctuation, different phenomenological jet energy loss models, possible near-Tc enhancement [with Jinfeng Liao]

  • Two-loop contributions: nuclear matter, neutron

matter, finite temperature [With Madappa Prakash]

https://sites.google.com/site/xilinzhangphysics/

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SLIDE 69

MiniBooNE

69

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SLIDE 70

New hadronic interactions?

γ ρ ω, Z

70

J.A. Harvey, C.T. Hill, R.J. Hill, Phys. Rev. Lett. 99, 261601 (2007), Phys. Rev. D 77, 085017(2008). R.J. Hill, Phys. Rev. D 81, 013008 (2010), 84 017501(2011).

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SLIDE 71

71

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SLIDE 72

72

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SLIDE 73

NOMAD exp.

73

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SLIDE 74

NC photon production off the nucleon

74

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SLIDE 75

75

γ

ρ ω, Z

M 1 ~ state te intermedia N

These terms are small

  • R. J. Hill, Phys. Rev. D 81, 013008 (2010)
  • W. Peters l, H. Lenske, U. Mosel,
  • Nucl. Phy. A640,89 (1998)

8 . 5 . 1

1 1

= = e c

γ

ρ ω, π

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SLIDE 76

MiniBooNE NC photon events

76

Xection needs to be doubled at least.

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SLIDE 77

77

  • Incoherent one is small at Enu~ 1 GeV
  • Coherent one is zero
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SLIDE 78

backup

  • Capture cross section
  • 20 keV ~ fb
  • 1MeV ~mb
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SLIDE 79