The effect of instanton-induced interaction on P-wave meson spectra in constituent quark model

Abstract

The mass spectrum of the P -wave mesons is considered in a non-relativistic constituent quark model. The full Hamiltonian used in the investigation includes the kinetic energy, the confinement potential, the one-gluon-exchange potential (OGEP) and the instanton-induced quark-antiquark interaction (III). A good description of the mass spectrum is obtained. The respective role of III and OGEP in the P -wave meson spectrum is discussed.

Study of Heavy Strange Baryons in a Hypercentral Quark Model

“…The potential parameters and quark masses are taken from Refs. [4,12,13] respectively. We use the experimental masses of Σ(1193) and Ξ(1318), to determine ξ i…”

Mass spectra and decays of ground and orbitally excited cb̄ states in nonrelativistic quark model

“…The exchange of gluons can provide binding between quarks in a hadron. The Hamiltonian employed in our model [48][49][50] includes kinetic energy part, confinement potential and one gluon potential (OGEP) [45].…”

“…In phenomenological quark models the confinement potential is assumed to be harmonic oscillator potential (V ∼ r 2 ) or logarithmic potential (V ∼ ln(r)) or linear potential (V ∼ r). For our model we have chosen the linear potential which represents the non perturbative effect of QCD that confines quarks within the color singlet system [49,50].…”

Effects of coupled channels on cb̄ masses and decays in NRQM with OGEP

“…In our model we use the Hamiltonian which includes includes kinetic energy, confinement potential and one gluon potential (OGEP) [1][2][3][4].…”

“…They can be harmonic oscillator potential (V ∼ r 2 ) or logarithmic potential (V ∼ ln(r)) or linear potential (V ∼ r). We deem it fit to choose linear potential that represents non perturbative effect of QCD that explains quark confinement within the color singlet system [2,3].…”