TDA and RPA pseudoscalar and vector solutions for the low energy regime of a motivated QCD Hamiltonian.

T.YEPEZ; A.D.AMOR QUIROZ; P. O. HESS; CIVITARESE, O.

cocoyoc

Simposio; international symposium on nuclear physics; 2017

unam

Abstract. We present the low energy meson spectrum of a Coulomb gauge QCD motivatedHamiltonian for light and strange quarks. We have used the harmonic oscillator as a trialbasis and performed a pre-diagonalization of the kinetic energy term in order to get an effectivebasis where quark and anti-quark degrees of freedom are defined. For the relevant interactionsbetween quarks and anti-quarks, we have implemented a confining interaction between colorsources, in order to account in an effective way for the gluonic degrees of freedom. The lowenergy meson spectrum is obtained from the implementation of the TDA and RPA many-body-methods. The physical states have been described as TDA and RPA collective states with arelatively good agreement. Particularly, the particle-hole correlations of the RPA ground stateimprove the RPA pion-like state (159.7 MeV) close to its physical value while the TDA oneremains at a higher energy (269.2 MeV).