Recovery of the Center-of-Mass Galilean invariance of a NR-QCD motivated Hamiltonian

We evaluate the use of 3D-harmonic oscillator eigenfunctions in the expansion of the fermionic fields of an effective QCD Hamiltonian with the 1/r plus a linearly confining potential. Since both the potential and the functions involved in such expansion are non-relativistic, a modified ter-Vehn meth...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1078; no. 1; pp. 12002 - 12007
Main Authors Amor-Quiroz, D. A., Hess, P. O., Civitarese, O., Yepez-Martinez, T.
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.08.2018
Subjects
Center of mass
Eigenvectors
Harmonic oscillators
Invariance
Mathematical analysis
Mesons
Physics
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Summary:We evaluate the use of 3D-harmonic oscillator eigenfunctions in the expansion of the fermionic fields of an effective QCD Hamiltonian with the 1/r plus a linearly confining potential. Since both the potential and the functions involved in such expansion are non-relativistic, a modified ter-Vehn method is applied to recover the galilean invariance of the center of mass of the mesonic states built with the use of the Random Phase Approximation. Finally, a preliminary calculation for the mesons below 1 GeV is presented.
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ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1078/1/012002