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Abstract
We justify the use of harmonic oscillator eigenfunctions for expanding the fermionic fields of an effective field theory and evaluate its utility for solving a Hamiltonian inspired by the QCD formalism in the Coulomb Gauge. Since the functions involved in such expansion are non-relativistic, the Talmi-Moshinsky transformations can be used to recover the translational invariance of the center of mass of the mesonic states. Finally, many-body methods and an a posteriori flavor mixing procedure are used to compute a preliminary spectrum for the mesons below 1 GeV.
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Details
1 Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México Circuito Exterior, C.U., Apartado postal 70-543, 04510 Mexico City, Mexico.
2 Departamento de Física, Universidad Nacional de La Plata, C.C.67 (1900), La Plata, Argentina.