A Solvable Model for Many Quark Systems in QCD Hamiltonians

Details A Solvable Model for Many Quark Systems in QCD Hamiltonians A Solvable Model for Many Quark Systems in QCD Hamiltonians

2009-10-07

arxiv.org/abs/0910.1276v1

Phys.Rev.C81:045204,2010

Physics

Nuclear Physics

Nuclear Theory

24 pages, 2 figures, research article

Scientific paper

10.1103/PhysRevC.81.045204

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.

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