2006.10.13 HYP2006 Mainz Quark-model baryon-baryon interactions Quark-model baryon-baryon interactions and their applications and their applications to few-body systems to few-body systems Y. Fujiwara Y. Fujiwara ( Kyoto) Y. Suzuki Kyoto) Y. Suzuki ( Niigata Niigata ) ) C. C. Nakamoto (Suzuka) Nakamoto (Suzuka) M. Kohno M. Kohno ( Kyushu Dental Kyushu Dental ) ) K. Miyagawa K. Miyagawa ( Okayama) Okayama) 1. Introduction 2. B 8 B 8 interactions fss2 and FSS: spin-flavor SU 6 symmetry 3. B 8 interactions by quark-model G-matrix 4. Some applications 4.1. N interaction and 3 H Faddeev calculation 4.2 effective potential and 9 Be Faddeev calculation 4.3. s. p. potential and , (3N) potentials 4.4. N total cross sections and potential 5. Summary
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Quark-model baryon-baryon interactions and their applications to few-body systems
Quark-model baryon-baryon interactions and their applications to few-body systems. Y. Fujiwara ( Kyoto) Y. Suzuki ( Niigata ) C. Nakamoto (Suzuka) M. Kohno ( Kyushu Dental ) K. Miyagawa ( Okayama) 1. Introduction - PowerPoint PPT Presentation
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2006.10.13 HYP2006 Mainz
Quark-model baryon-baryon interactionsQuark-model baryon-baryon interactionsand their applicationsand their applications
to few-body systemsto few-body systems
Y. Fujiwara Y. Fujiwara (( Kyoto) Y. Suzuki Kyoto) Y. Suzuki (( NiigataNiigata ) ) C. Nakamoto C. Nakamoto (Suzuka)(Suzuka)
M. KohnoM. Kohno (( Kyushu DentalKyushu Dental ) ) K. MiyagawaK. Miyagawa (( Okayama)Okayama)1. Introduction2. B8 B8 interactions fss2 and FSS: spin-flavor SU6 symmetry3. B8 interactions by quark-model G-matrix4. Some applications 4.1. N interaction and 3H Faddeev calculation 4.2 effective potential and 9Be Faddeev calculation 4.3. s. p. potential and , (3N) potentials 4.4. N total cross sections and potential5. Summary
2006.10.13 HYP2006 Mainz
B8B8 interactions by fss2A natural and accurate description of NN, YN, YY interactions in terms of (3q)-(3q) RGM• Short-range repulsion and LS by quarks• Medium-attraction and long-rang tensor by S, PS and V meson exchange potentials (fss2) (Cf. FSSFSS without V)
(11)s complete Pauli forbidden (30) almost forbidden (=2/9)
‐2
0
‐4
Spin-flavor Spin-flavor SUSU66 symmetry symmetry
1. Quark-model Hamiltonian is approximately SU3 scalar ・ no confinement contribution (assumption)(assumption) ・ Fermi-Breit int. … quark-mass dependence only ・ EMEP … automatic SU3 relations for coupling constants phenomenologyphenomenology CfCf. OBEP: exp data . OBEP: exp data gg, , ff, , … (integrated) … (integrated)2. -on plays an important role through SU3 relations and FSB3. effect of the flavor symm. breaking (FSB) by ms>mmud , B, M masses
Characteristics of SUCharacteristics of SU33 channels channels
E E expexp (keV)(keV) 43 43 5 5FSS (cont) reproduces E exp at kF=1.25 fm-1 !PP-wave -wave NN--NN coupling by coupling by LSLS(-)(-) is important. is important.
S-meson LS in fss2 is not favorable.
2006.10.13 HYP2006 Mainz
potentials potentials ((VVWWC C ((RR, 0)), 0)) by quark-model by quark-model
GG-matrix interaction-matrix interaction
I=3/2 I=3/2
I=1/2 I=1/2
total total
fss2FSS
The Pauli repulsion of N(I=3/2) 3S1 is very strong.
2006.10.13 HYP2006 Mainz
(3(3NN) potentials by quark-model ) potentials by quark-model GG-matrix -matrix interaction ( 0interaction ( 0++, T, T=1/2 channel)=1/2 channel)
3/ 2 1/ 2 1/ 2(3 ) ( 0, 1/ 2) (4 / 3) (3 / 2) (1/ 6)N s t sV S T V V VS = = = + +
Ahn Ahn et al.et al.Phys. Lett. BPhys. Lett. B633 (2006) 214633 (2006) 214
More experiments are needed.
2006.10.13 HYP2006 Mainz
SummSummaryaryQuark-model description for the baryon-baryoninteraction is very successful to reproduce manyexperimental data. In particular, the extension of the (3q)-(3q) RGM study for the NN and YNinteractions to the strangeness S=-2, -3, -4 sectors has clarified characteristic features of the B8B8
interactions. The results seem to be reasonable if we consider1)1) spin-flavor spin-flavor SUSU66 symmetry symmetry2) weak π-on effect in the strangeness sector2) weak π-on effect in the strangeness sector3) effect of the flavor symmetry breaking3) effect of the flavor symmetry breaking We have analyzed B8, B8(3N) interactions based onthe G-matrix calculations of fss2 and FSS.
S=0 ・ triton binding energy … fss2: +150 keV (3 body force?)
S =‐ 1 p and +p interactions are progressively known.
・ + p total and differential cross sections and polarization … fss2, FSS
・ N 1S0 and 3S1 attraction (relative strength) ( 3H Faddeev calculation: 289 keV for fss2) ・ small s splitting in 9Be excited states (FSS)
・ N (I=1/2 1S0), N (I=3/2 3S1) repulsion repulsive s. p. and potentials … fss2, FSSS =‐ 2 interaction is not much attractive !
・ interaction |V|<|VN|<|VNN|
B 1 MeV (Nagara event 6He) … fss2 ・ N in-medium total cross section (fss2, FSS) … strong isospin dependence of s.p. potential
・ N (I=0 3S1): (11)a 0 or weakly attractive (fss2, FSS)
vs. ESC04(d): strongly attractive
Characteristics of Characteristics of fss2fss2 and and FSSFSS