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An SU(3) Symmetric One-Boson-Exchange Potential between Two Octet Baryons
Author(s) -
I. Arisaka,
Keizo Nakagawa,
S. Shinmura,
M. Wada
Publication year - 2000
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.104.995
Subject(s) - physics , particle physics , octet , baryon , meson , isospin , boson , symmetry (geometry) , symmetry breaking , gaussian , cutoff , nuclear physics , quantum mechanics , geometry , mathematics
The SU(3)symmetric one-boson-exchange potential (OBEP)with a Gaussian soft core is proposed for interactions between two octet baryons. In this potential model, the breaking of the SU(3)symmetry is introduced by using the physical masses for the baryons and mesons. In the outer region (r ≥ 1fm), the OBEP works very well. In the core region (r ≤ 1fm), SU(3) symmetric Gaussian cores are introduced to guarantee the coexistence of the mechanisms of the meson exchange and the core, and the Gaussian cutoff function is multiplied to the OBEP. There are 22 free parameters, which consist of 11 SU(3)parameters for nonet mesons (g1, g8, gF /(gF + gD )= α, θ : each mesons)and 11 core parameters (core strength, core range). These parameters are determined via SU(3)relations by the method of χ 2 -fitting to reproduce the NN phase shifts and YN data. The fitting is quite satisfactory on the whole. Therefore, this OBEP is applicable to the calculation of nuclear and hyper-nuclear structures.

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