A Solvable Model for Many Quark Systems in QCD Hamiltonians
Nuclear Theory
2010-04-29 v1
Abstract
Motivated by a canonical, QCD Hamiltonian we propose an effective Hamiltonian to represent an arbitrary number of quarks in hadronic bags. The structure of the effective Hamiltonian is discussed and the BCS-type solutions that may represent constituent quarks are presented. The single particle orbitals are chosen as 3-dimensional harmonic oscillators and we discuss a class of exact solutions that can be obtained when a subset of single-particle basis states is restricted to include a certain number of orbital excitations. The general problem, which includes all possible orbital states, can also be solved by combining analytical and numerical methods.
Keywords
Cite
@article{arxiv.0910.1276,
title = {A Solvable Model for Many Quark Systems in QCD Hamiltonians},
author = {Tochtli Yepez-Martinez and Peter O. Hess and Adam P. Szczepaniak and Osvaldo Civitarese},
journal= {arXiv preprint arXiv:0910.1276},
year = {2010}
}
Comments
24 pages, 2 figures, research article