Quark self-energy and relativistic flux tube model

Abstract

The contribution of the quark self energy to the meson masses is studied in the framework of the relativistic flux tube model. The equivalence between this phenomenological model and the more QCD based rotating string Hamiltonian is used as a guide to perform the calculations. It is shown that the addition of the quark self energy to the relativistic flux tube model preserves the linearity of the Regge trajectories. But, following the definition taken for the constituent quark masses, the Regge slope is preserved or decreased. In this last case, experimental data can only by reproduced by using a string tension around 0.245 GeV${}^2$. Two procedures are also studied to treat the pure flux tube contribution as a perturbation of a spinless Salpeter Hamiltonian.

arXiv comment4 figures, 4 tables

References in corpus (10)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Rotating QCD string and the meson spectrum
• Nonperturbative corrections to the quark self-energy
• Light-meson orbital excitations in the QCD string approach
• Light Meson Spectra and Instanton Induced Forces
• Dynamics of the QCD String with Light and Heavy Quarks
• Auxiliary fields and hadron dynamics
• The quark-gluon Mixed Condensate calculated via Field Correlators
• Semi-Relativistic Hamiltonians of Apparently Nonrelativistic Form
• Auxiliary fields and the flux tube model

Cited by in corpus (14)

• On two- and three-body descriptions of hybrid mesons
• Bottomonium spectrum in the relativistic flux tube model
• Baryonic mass formula in large $N_c$ QCD versus quark model
• Casimir scaling, glueballs and hybrid gluelumps
• Meson and glueball spectra with the relativistic flux tube model
• Hybrid mesons and auxiliary fields
• Glueball phenomenology and the relativistic flux tube model
• Mass formula for strange baryons in large $N_c$ QCD versus quark model
• Charm and bottom baryon masses in the combined $1/N_c$ and $1/m_Q$ expansion versus quark model
• Study of the $\omega$/${\omega }_3$, $\rho$/${\rho }_3$ and the newly observed $\omega$-like state $X(2220)$
• Relativistic corrections for two- and three-body flux tube model
• Retardation effects in the rotating string model
• Covariant oscillator quark model for glueballs and baryons
• Spinning Pairs: Supporting ${}^3{P}_0$ Quark-Pair Creation from Landau Gauge Green's Functions