solvable model for many quark systems in QCD hamiltonians

T.YEPEZ; P. O. HESS; A.SZEZEPANIACK; OSVALDO CIVITARESE

PHYS. REV. - C

AMER PHYSICAL SOC

Lugar: new york; Año: 2010 vol. 81 p. 452041 - 4520418

0556-2813

Motivated by a canonical QCD Hamiltonian, we propose an effectiveHamiltonian to represent an arbitrary number of quarks in hadronic bags.The structure of the effective Hamiltonian is discussed and the BCS-typesolutions that may represent constituent quarks are presented. Thesingle-particle orbitals are chosen as three-dimensional harmonicoscillators, and we discuss a class of exact solutions that can beobtained when a subset of single-particle basis states is restricted toinclude a certain number of orbital excitations. The general problem,which includes all possible orbital states, can also be solved bycombining analytical and numerical methods.