Abstract
Energy-independent nonlocal Gaussian potential based on the quark-model baryon-baryon interaction is derived by using the Gauss-Legendre quadrature and the Bargmann algebra. The reliability of this potential is examined with respect to the NN, YN and YY phase shifts. This potential reproduces the phase shifts predicted by quark-model baryon-baryon interaction fss2.
Highlights
The baryon-baryon (BB) interaction is the most fundamental ingredient in all the many-body nuclear systems
Compared with nucleon-nucleon (N N ) and hyperonnucleon (Y N ) interactions, we have a lot of ambiguity about hyperon-hyperon (Y Y ) interactions since there is no scattering data
We have presented the nonlocal energy-independent Gaussian potentials for the quark-model kernels, using the Gauss-Legendre quadrature and the Bargmann algebra
Summary
The baryon-baryon (BB) interaction is the most fundamental ingredient in all the many-body nuclear systems. This is an Open Access article published by World Scientific Publishing Company. QM BB interactions are nonlocal and have the linearly energy-dependent term as the result of RGM formalism. The energy dependence is not favorable since the energy of subsystems is not well-defined in few-body scattering problems This energy dependence can be eliminated by the off-shell transformation.[8] The energy-independent version of fss[2] is applied to the three-body bound-state[5] and nucleon-deuteron scattering systems.[9]. We have already constructed the energy-dependent nonlocal Gaussian potential[10] based on the QM N N interaction fss[2]. We recapitulate the QM BB interaction fss[2] and the formalism for the energy-independent Gaussian potential is briefly explained. The final section is devoted to the summary and future works
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