# Low-energy meson spectrum from a QCD approach based on many-body methods

@article{AmorQuiroz2017LowenergyMS, title={Low-energy meson spectrum from a QCD approach based on many-body methods}, author={D. A. Amor-Quiroz and Tochtli Y'epez-Mart'inez and Peter Otto Hess and Osvaldo Civitarese and Axel Weber}, journal={International Journal of Modern Physics E-nuclear Physics}, year={2017}, volume={26}, pages={1750082} }

The Tamm–Dancoff Approximation (TDA) and Random Phase Approximation (RPA) many-body methods are applied to an effective Quantum Chromodynamics (QCD) Hamiltonian in the Coulomb gauge. The gluon effects in the low-energy domain are accounted for by the Instantaneous color-Coulomb Interaction between color-charge densities, approximated by the sum of a Coulomb (α/r) and a confining linear (βr) potential. We use the eigenfunctions of the harmonic oscillator as a basis for the quantization of the…

## Figures and Tables from this paper

## 5 Citations

Bottom-charmed meson spectrum from a QCD approach based on the Tamm-Dancoff approximation

- Physics
- 2020

The bottom-charmed meson spectrum is studied in this work via an effective version of the Coulomb gauge QCD Hamiltonian. The Tamm-Dancoff approximation is employed to estimate the energies of the…

Schematic SO(4) model for the description of hadrons

- PhysicsJournal of Physics G: Nuclear and Particle Physics
- 2021

An algebraic model is proposed which simulates the strong interaction between quarks, for the description of hadron states. The model is based on the SO(4)-group. The effects of the long-range…

Mixing and
mq
dependence of axial vector mesons in the Coulomb gauge QCD model

- PhysicsPhysical Review D
- 2019

We discuss pure q (q) over bar axial-vector mesons in the Tamm-Dancoff approximation of the Coulomb-gauge QCD model from North Carolina State University. While recent studies have put emphasis in…

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

- PhysicsJournal of Physics: Conference Series
- 2018

Structure of baryon states from non-perturbative methods

- PhysicsJournal of Physics: Conference Series
- 2018

## References

SHOWING 1-10 OF 78 REFERENCES

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

- Physics
- 2017

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…

RPA treatment of a motivated QCD Hamiltonian in the SO(4) (2 + 1)-flavor limit: Light and strange mesons

- Physics
- 2017

The SO(4) symmetry of a sector of the quantum chromodynamics (QCD) Hamiltonian was analyzed in a previous work. The numerical calculations were then restricted to a particle–hole (ph) space and the…

Meson structure in a relativistic many-body approach

- PhysicsPhysical review letters
- 2000

A comparative numerical study of the BCS, Tamm-Dancoff (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.

Use of a non-relativistic basis for describing the low energy meson spectrum

- Physics
- 2017

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…

Schematic model for QCD. I. Low energy meson states

- Physics
- 2003

A simple model for QCD is presented, which is able to reproduce the meson spectrum at low energy. The model is a Lipkin-type model for quarks coupled to gluons. The basic building blocks are…

Glueball spectrum from an anisotropic lattice study

- Physics
- 1999

away all of the other unwanted states. An additional smallvolume simulation is done to assist in this identification and to study the systematic errors from finite volume. Finally, discretization…

Schematic model for QCD. III. Hadronic states

- Physics
- 2004

The hadronic spectrum obtained in the framework of a QCD-inspired schematic model is presented. The model is the extension of a previous version, whose basic degrees of freedom are constituent…

The lightest hybrid meson supermultiplet in QCD

- Physics
- 2011

We interpret the spectrum of meson states recently obtained in non-perturbative lattice QCD calculations in terms of constituent quark-antiquark bound states and states, called 'hybrids', in which…