Color-Singlet Three-Quark States in the su(4)-Algebraic Many-Quark Model
Y. Tsue (Kochi Univ., Japan), C. Providencia (Univ. de Coimbra,, Portugal), J. da Providencia (Univ. de Coimbra, Portugal), M. Yamamura, (Kansai Univ., Japan)
TL;DR
This paper investigates color-singlet three-quark states within su(4)-algebraic models, analyzing their structure in spherical j-j and L-S coupling shell models, and characterizing nucleon states for specific Hamiltonians.
Contribution
It introduces a detailed analysis of three-quark color-singlet states using su(4)-algebraic models in different coupling schemes, expanding understanding of nucleon configurations.
Findings
Characterization of nucleon states in su(4)*su(4)-model
Analysis of three-quark states in j-j and L-S coupling models
Identification of specific Hamiltonian conditions for nucleon states
Abstract
As announced in last paper by the present authors, the color-singlet three-quark states are investigated for the case of the spherical j-j coupling and L-S coupling shell models. The latter case automatically leads to the su(4)*su(4)-model. For a certain type of Hamiltonian, the states of individual "nucleons" are characterized.
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