Light Meson Spectra and Instanton Induced Forces

Abstract

The spinless Salpeter equation supplemented by an instanton induced force is used to describe the spectra of light mesons, including the pseudoscalar ones. The coupling constants of the instanton induced potential, as well as the quark constituent masses are not treated as simple free parameters but are calculated from the underlying instanton theory. Quite good results are obtained provided the quark are considered as effective degrees of freedom with a finite size. A further test of the model is performed by calculating the electromagnetic mass differences between S-wave mesons.

14 pages

References in corpus (2)

• A Bethe-Salpeter model for light mesons: spectra and decays
• The 3-dimensional Fourier grid Hamiltonian method

Cited by in corpus (22)

• Bohr-Sommerfeld quantization and meson spectroscopy
• On two- and three-body descriptions of hybrid mesons
• Semirelativistic potential model for glueball states
• Gluons in glueballs: Spin or helicity?
• Spectrum of the S-wave fully-heavy tetraquark states
• A unified meson-baryon potential
• Casimir scaling, glueballs and hybrid gluelumps
• Meson and glueball spectra with the relativistic flux tube model
• Semirelativistic potential model for three-gluon glueballs
• Glueball phenomenology and the relativistic flux tube model
• The low-lying hidden- and double-charm tetraquark states in a constituent quark model with Instanton-induced Interaction
• Semirelativistic potential model for low-lying three-gluon glueballs
• Quark self-energy and relativistic flux tube model
• Electromagnetic splitting for mesons and baryons using dressed constituent quarks
• Upper limit on the number of bound states of the spinless Salpeter equation
• Upper limit on the critical strength of central potentials in relativistic quantum mechanics
• Baryon spectra with instanton induced forces
• A semiclassical model of light mesons
• Retardation effects in the rotating string model
• A mass formula for light mesons from a potential model
• Covariant oscillator quark model for glueballs and baryons
• Universality of Regge and vibrational trajectories in a semiclassical model