Meson Structure in a Relativistic Many-Body Approach

TL;DR

This paper presents a relativistic many-body analysis of meson spectra using a realistic QCD Hamiltonian, revealing insights into vacuum structure, chiral symmetry, and meson mass splittings, with significant differences between TDA and RPA methods.

Contribution

It introduces a comparative study of BCS, TDA, and RPA treatments in meson analysis, highlighting their impact on understanding chiral symmetry and meson properties.

Findings

RPA successfully describes the pion as a Goldstone boson.

Significant quantitative differences between TDA and RPA in light quark sector.

Insights into the condensate structure and mass splitting mechanisms.

Abstract

Results from an extensive relativistic many-body analysis utilizing a realistic effective QCD Hamiltonian are presented for the meson spectrum. A comparative numerical study of the BCS, TDA and RPA treatments provides new, significant insight into the condensate structure of the vacuum, the chiral symmetry governance of the pion and the meson spin, orbital and flavor mass splitting contributions. In contrast to a previous glueball application, substantial quantitative differences are computed between TDA and RPA for the light quark sector with the pion emerging as a Goldstone boson only in the RPA.