少数粒子系厳密計算 - ribf.riken.jp

少数粒子系厳密計算 - ribf.riken.jp

12 4 3 00 -4 30 2 RIKEN iTHES ( Kavli IPMU 3

a) b) c) d)

(x,y,z) (X,Y,Z) 0 / ATOMKI

OUTLINE ( epoch-making 4 Section

V(r)

<< 3 4 3 4 V(r)

V(R (

0 R

Section 1.1 E

H: R (X,Y,Z) r (x,y,z)

N i n = | * in dr dR ( ) H i n= Hi n Cn = 1 , 1 ,

Ni n Cn 2, 3 , 2, 3 ,

N i n = H i n= Section 1.2

3 1 0 =0 100

tail compact dilute Section 1.4 1988 : 1988 :

3 Section 2 (Lobe) ) ,

, , (Infinitesimally-Shifted Gaussian Lobe)

E. Hiyama, Y. Kino and m. Kamimura Prog. Part. Nucl. Phys. 51 (2003) 223.

Section 3 --- 4He) PRC 64, 044001 (2001) , 18 1. Fadde) e) v-Yakubovski (Kamada e) t al.) 2. Gaussian Expansion Me) thod (Kamimura and Hiyama) 3. Stochastic varitional (Varga e) t al.) 4. Hype) rsphe) rical variational (Viviani e) t al.) 5. Gre) e) n Function Variational Monte) Carlo (Carlson at al.) 6. Non-Core) she) ll mode) l (Navratil e) t al.) 7. Effe) ctive) Inte) raction Hype) rshpe) rical Harmonics EIHH (Barne) a e) t al.) He) 4 n

n p p 4-nucle) on bound state) NN: AV8 Good agre) e) me) nt among the) 7 diffe) re) nt me) thods in the) binding e) ne) rgy, r.m.s. radius and two-body corre) lation function

V(R (

0 R

RIBF Section 3.1 4 He

He He - He dimer 0.0 mK 4 He + 4He -1.30348 mK

tetramer trimer 4 He + 4He + 4He 4 He + 4He + 4He + 4He dimer + He 4 0.0 mK -2.2706 trimer + 4He -126.40 mK -127.33

-558.98 mK He 4 He

He universality 4 E. H. and M. Kamimura, Phys. Rev. A 85 (2012) 022502 E.H. and M. Kamimura, Phys. Rev. A 85 (2012) 062505

Section 4 Major goals of hypernuclear physics 1) To understand baryon-baryon interactions Fundamental and important for the study of nuclear physics 2) To study the structure of multi-strangeness systems

In ne) utron-rich and proton-rich nucle) i, n n n Nuclear cluster n Nuclear cluster Nuclear cluster Nuclear cluster n n

n n Whe) n some) ne) utrons or protons are) adde) d to cluste) ring nucle) i, additional ne) utrons are) locate) d outside) the) cluste) ring nucle) i due) to the) Pauli blocking e) ffe) ct. As a re) sult, we) have) ne) utron/proton halo structure) in the) se) nucle) i. The) re) are) many inte) re) sting phe) nome) na in this fie) ld as you know. Nucle) us Que) stion:How is the) structure) modifie) d whe) n a hype) ron, particle) , is inje) cte) d into the) nucle) us? The glue like role of particle provides us with another interesting phenomena. particle) can re) ach

Nucle) us The) re) is no Pauli Pricliple) be) twe) e) n N and . de) e) p inside) , and attracts the) surrounding nucle) ons towards the) inte) rior of the) nucle) us. hype) rnucle) us Ne) utron de) cay thre) shold nucle) us

hype) rnucle) us Due) to the) attraction of N inte) raction, the) re) sultant hype) rnucle) us will be) come) more) stable) against the) ne) utron de) cay. Nuclear chart with strangeness Multi-strangeness system such as Neutron star Exte) nding drip-line) ! Inte) re) sting phe) nome) na conce) rning the) ne) utron halo have) be) e) n obse) rve) d ne) ar the) ne) utron drip line) of light nucle) i. How doe) s the) halo structure) change) whe) n a particle) is inje) cte) d into an unstable) nucle) us? Question :

? ----- n n He 7 n n H

6 t Observed at J-Lab Observed by FINUDA group (Italy) Phys. Rev. Lett.110, 012502 (2013) Phys. Rev. Lett. 108, 042051 (2012).

Section 4.1 7 He n n He : 6 7 n

n He: J-LAB experiment-E011, Phys. Rev. Lett.110,012502 (2013). He 6 2+

pro dec mpt ay part ic E. Hiyama et al., PRC53, 2075 (1996), PRC80, 054321 (2009) He 7 le ++n+n 0 MeV 0 MeV

+n+n He+n+n 5 0+ -1.03 MeV Exp:-0.98 B B

=5 .4 4 EX P Observed at J-Lab experiment(2012) Phys. Rev. Lett.110,012502 (2013). = 5/2+ Halo state 3/2+ M eV (c

5. 68 al .) 0 .0 1/2+ 3 0. 25 He

6 2+ pro dec mpt ay part ic E. Hiyama et al., PRC53, 2075 (1996), PRC80, 054321 (2009) He 7 le

++n+n 0 MeV 0 MeV +n+n He+n+n 5 0+ -1.03 MeV Exp:-0.98 B B

=5 .4 4 5/2+ 3/2+ Halo state M 5. eV 68 EX (c 0 al P= .) + .0

+ + 1/2 5/2 1/2 3 Observed at J-Lab 5. -6.19 6 0 8 .2 3/2+ 1/2+ experiment(2012) 0. 5 03 + Phys. Rev. 0

1/2 6 7 .2 -6.19 H e Lett.110,012502 He 5 J-PARC . (2013). Section 4.1 H

6 n t n E. H, S. Ohnishi, M. Kamimura, Y. Yamamoto, NPA 908 (2013) 29. n n H 6 t

Phys. Re) v. Le) tt. 108, 042051 (2012). FINUDA e) xpe) rime) nt =1.90.4 MeV 1/2+ 1.70.3 MeV t+n+n+ H 1 .0 =4 B 5 P: EX t+n+n

4 H+n+n .1 e) V M 0.3 Me) V 6 H n 5 H : supe) r he) avy hydroge) n

t n Be) fore) the) e) xpe) rime) nt, the) following authors calculate) d the) binding e) ne) rgy using she) ll mode) l picture) and G-matrix the) ory. (1) R. H. Dalitz and R. Ke) vi-Se) tti, Nuovo Cime) nto 30, 489 (1963). (2) L. Majling, Nucl. Phys. A585, 211c (1995). (3) Y. Akaishi and T. Yamazaki, Frascati Physics Se) rie) s Vol. 16 (1999). Akaishi et al. pointe) d out that one) of the) important subje) ct to study this hype) rnucle) us is to e) xtract information about N-NN coupling. Motivate) d by the) e) xpe) rime) ntal data, I calculate) d the) binding e) ne) rgy of 6 H and I shall show you my re) sult. Frame) work: To calculate) the) binding e) ne) rgy of 6H, it is ve) ry important to re) produce) the) obse) rve) d data of the) core) nucle) us 5H. transfe) r re) action p(6He) , 2He) )5H = 1.90.4 Me) V

1/2+ 1.70.3 Me) V t+n+n thre) shold A. Korche) ninnikov, e) t al. Phys. Re) v. Le) tt. 87 (2001) 092501. The) ore) tical calculation N. B. Schulgina e) t al., PRC62 (2000), 014321. R. De) Die) go e) t al, Nucl. Phys. A786 (2007), 71. calculate) d the) e) ne) rgy and width of 5H with t+n+n thre) e) -body mode) l using comple) x scaling me) thod. 5 H is we) ll de) scribe) d as t+n+n thre) e) -body mode) l. The) n, I think that t+n+n+ 4-body mode) l is good mode) l to de) scribe) 6H. The) n. I take) t++n+n 4-body mode) l.

n n t 5 H n n t 6 H

Be) fore) doing the) full 4-body calculation, it is important and ne) ce) ssary to re) produce) the) obse) rve) d binding e) ne) rgie) s of all the) se) ts of subsyste) ms in 6H. Name) ly, all the) pote) ntial parame) te) rs are) ne) e) de) d to adjust the) e) ne) rgie) s of the) 2- and 3-body subsyste) ms. 6 6 H H H 6

n n t n n n t n

t 1/2+ 1.69 Me) V 1.70.3 Me) V =1.90.4 Me) V EXP = 2.44 Me) V CAL I focus on the) 0+ state) . t+n+n n 1+ n t 5 H n

0+ H 6 The) n, what is the) binding e) ne) rgy of 6H? Exp: 1.7 0.3 Me) V Eve) n if the) pote) ntial parame) te) rs we) re) tune) d so as to re) produce) the) lowe) st value) of the) Exp. , E=1.4 Me) V, =1.5 Me) V, =1.9 0.4 MeV we) do not obtain any bound state) of 6H.

= 2.44 Me) V + 1.69 MeV t+n+n 0+ = 0.91 Me) V 1.17 MeV 0 Me) V t+n+n+ 4 H+n+n E=-0.87 Me) V =0.23 MeV - 2.0 4 H+n+n

0+ -2.07 Me) V On the) contrary, if we) tune) the) pote) ntials to have) a bound state) in 6 H, the) n what is the) e) ne) rgy and width of 5H? = 1.90.4 Me) V Phys. Re) v. Le) tt. 108, 042051 (2012). FINUDA e) xpe) rime) nt

1/2+ 1.70.3 Me) V 5 H 5 0.3 Me) V e) V t H+n+n 4 M

t+n+n+ n n t+n+n+ .1 1 .0 =4 B P: EX t+n+n 6 H

H:supe) r he) avy hydroge) n But, FINUDA group provide) d the) bound state) of 6H. n t n How should I unde) rstand the) inconsiste) ncy be) twe) e) n our re) sults and the) obse) rve) d data? (1) We) ne) e) d more) pre) cise) data of 5H. A. Korche) ninnikov, e) t al. Phys. Re) v. Le) tt. 87 (2001) 092501. =1.90.4 Me) V 1/2+ 1.70.3 Me) V t+n+n

To ge) t bound state) of 6H, the) e) ne) rgy should be) lowe) r than the) pre) se) nt data. Que) stion: Is it possible) to me) asure) the) e) ne) rgy and width of 5H more) pre) cise) ly some) whe) re) again? [3] A.A. Korosheninnikov et al., PRL87 (2001) 092501 [8] S.I. Sidorchuk et al., NPA719 (2003) 13 [4] M.S. Golovkov et al. PRC 72 (2005) 064612 [5] G. M. Ter-Akopian et al., Eur. Phys. J A25 (2005) 315. (2) In our mode) l, we) do not include) NN coupling e) xplicitly. The) coupling e) ffe) ct might contribute) to the) e) ne) rgy of 6

H. S=-1 Non-strange) ne) ss nucle) i N N 80 Me) V S=-2 N N 25Me) V

In hype) rnucle) ar physics, the) mass diffe) re) nce) is ve) ry small in comparison with the) case) of S=0 fie) ld. 300Me) V N Probability of not large) . N in nucle) i is The) n, in S=-1 and S=-2 syste) m, N-NN and -N couplings might be) important. A. Gal and D. J. Millener, arXiv:1305.6716v3 (To be published in PLB. They pointed out that N-N coupling is important for N coupling is important for 6H. It might be) important to pe) rform the) following calculation:

n n H 6 t n n + 3N N

=1.90.4 Me) V 1/2+ 1.70.3 Me) V Phys. Re) v. Le) tt. 108, 042051 (2012). FINUDA e) xpe) rime) nt t+n+n+ 5 H .1 1 .0 =4 B P: EX t+n+n

0 Me) V M e) V Cal: -0.87 Me) V 4 H+n+n N-NN coupling Exp: -2.3 Me) V This ye) ar, at J-PARC, the) y pe) rforme) d a se) arch e) xpe) rime) nt of (E10 e) xpe) rime) nt) of 6H. If E10 e) xpe) rime) nt re) ports more) accurate) e) ne) rgy, we) can ge) t information about N-NN coupling. E10 N t+n+n+ 4 No peak?!

H+n+n 0.3 Me) V FINUDA data 6 H 6H He

7 H H

Section 5

ITHES

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