Baryon-baryon interactions in the SU(6) quark model and their applications to light nuclear systems

Fujiwara, Y.; Suzuki, Y.; Nakamoto, C.

doi:10.1016/j.ppnp.2006.08.001

Baryon-baryon interactions in the SU(6) quark model and their applications to light nuclear systems

Y. Fujiwara
(
- Kyoto U.
)
,
Y. Suzuki
(
- Niigata U.
)
,
C. Nakamoto
(
- Suzuka Natl. Coll. Tech.
)

Jul, 2006

77 pages

Published in:

Prog.Part.Nucl.Phys. 58 (2007) 439-520

e-Print:

nucl-th/0607013 [nucl-th]

DOI:

10.1016/j.ppnp.2006.08.001

Report number:

KUNS-2031

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Abstract:

Interactions between the octet-baryons (B8) in the spin-flavor SU6 quark model are investigated in a unified coupled-channels framework of the resonating-group method (RGM). The interaction Hamiltonian for quarks consists of the phenomenological confinement potential, the color Fermi-Breit interaction with explicit flavor-symmetry breaking (FSB), and effective-meson exchange potentials of scalar-, pseudoscalar- and vector-meson types. The model parameters are determined to reproduce the properties of the nucleon-nucleon (NN) system and the low-energy cross section data for the hyperon-nucleon (YN) interactions. The NN phase shifts and many observables for the NN and YN interactions are nicely reproduced. Properties of these B8 B8 interactions are analyzed through the G-matrix calculations. The B8 B8 interactions are then applied to some of few-baryon systems and light Lambda-hypernuclei in a three-cluster Faddeev formalism using two-cluster RGM kernels. An application to the three-nucleon system shows that the quark-model NN interaction can give a sufficient triton binding energy with little room for the three-nucleon force. The hypertriton Faddeev calculation indicates that the attraction of the Lambda N interaction in the 1S0 state is only slightly more attractive than that in the 3S1 state. In the application to the alpha alpha Lambda system, the energy spectrum of 9 Lambda Be is well reproduced using the alpha alpha RGM kernel. The very small spin-orbit splitting of the 9 Lambda Be excited states is also discussed. In the Lambda Lambda alpha Faddeev calculation, the NAGARA event for 6 Lambda Lambda He is found to be consistent with the quark-model Lambda Lambda interaction.

Baryon-baryon interaction
SU(6) quark model
Strangeness
Faddeev equations
nuclear matter
tritium: hypernucleus
beryllium: hypernucleus
helium: hypernucleus
Lambda: hypernucleus
Lambda Lambda: hypernucleus

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