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

40th Symposium on Nuclear Physics 2017

Yépez-Martínez, T.^1 ; Amor Quiroz, D.A.^2 ; Hess, P.O.^2 ; Civitarese, O.^1

Departamento de Física, Universidad Nacional de la Plata, C.C.67, La Plata

1900, Argentina^1

Instituto de Ciencias Nucleares, UNAM, Circuito Exterior, C.U., A.P. 70-543, México, D.F.

04510, Mexico^2

关键词: Coulomb gauge;    Diagonalizations;    Harmonic oscillators;    Low-energy;    Many body;    Meson spectra;    Physical state;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/876/1/012022/pdf
DOI  :  10.1088/1742-6596/876/1/012022

来源: IOP

【 摘 要 】

We present the low energy meson spectrum of a Coulomb gauge QCD motivated Hamiltonian for light and strange quarks. We have used the harmonic oscillator as a trial basis and performed a pre-diagonalization of the kinetic energy term in order to get an effective basis where quark and anti-quark degrees of freedom are defined. For the relevant interactions between quarks and anti-quarks, we have implemented a confining interaction between color sources, in order to account in an effective way for the gluonic degrees of freedom. The low energy 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 a relatively good agreement. Particularly, the particle-hole correlations of the RPA ground state improve the RPA pion-like state (159.7 MeV) close to its physical value while the TDA one remains at a higher energy (269.2 MeV).