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Paper detail

A Solvable Model for Many Quark Systems in QCD Hamiltonians

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.

preprint2009arXivOpen access
Tochtli Yepez-MartinezPeter O. HessAdam P. SzczepaniakOsvaldo Civitarese
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Tochtli Yepez-MartinezPeter O. HessAdam P. SzczepaniakOsvaldo Civitarese

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