Renormalization approach to constituent quark models of Quarkonium

Abstract

Constituent quark models, while successful, require a great deal of fine tuning of the short distance interactions by introducing phenomenological gluonic form factors which are ultimately designed to accurately reproduce the spectrum. We apply and develop renormalization ideas to reduce the short distance sensitivity and show that, as naively expected, but not explicitly implemented in the models, the physics of binding is entirely linked to the string tension whereas leptonic decays depend more on the gluon exchange potential. We also show how the spectrum of S- and D- $1^{--}$ states is successfully intertwined through the singular tensor interaction.

20 pages, 11 figures

References in corpus (10)

• Charmonium
• Observation of Two Resonant Structures in e+e- to pi+ pi- psi(2S) via Initial State Radiation at Belle
• Constituent quark model study of the meson spectra
• Observation of a near-threshold enhancement in the e+e- -->Lambda_c+Lambda_c- cross section using initial-state radiation
• Nonperturbative determination of the QCD potential at O(1/m)
• Spin-dependent potentials from lattice QCD
• Renormalization of chiral two-pion exchange NN interactions. Momentum vs. coordinate space
• Interquark potential with finite quark mass from lattice QCD
• Determination of the Static Potential with Dynamical Fermions
• Quark-antiquark potential to order 1/m and heavy quark masses

Cited by in corpus (10)

• Bottomonium spectrum revisited
• Triply-heavy baryons in a constituent quark model
• Spectroscopy of ${\mathbf{B}}_{\mathbf{c}}$ mesons and the possibility of finding exotic ${\mathbf{B}}_{\mathbf{c}}$-like structures
• Nonleptonic $B\to D^{(\ast )}{D}_{sJ}^{(\ast )}$ decays and the nature of the orbitally excited charmed-strange mesons
• Electric dipole transitions of $1P$ bottomonia
• Regge trajectories of Excited Baryons, quark-diquark models and quark-hadron duality
• Renormalized Quarkonium
• Non-perturbative methods for NN singular interactions
• Heavy baryons in the large Nc limit
• Heavy Quark Coupled Channel Dynamics from Thermal Shifts