Orbitally Excited States of Quarkonia in a Nonrelativistic Model

Abstract

Having succeeded in predicting the S wave spectra and decays of cc and bb mesons, Bhaghyesh, K. B. Vijaya Kumar and A. P. Monteiro, J. Phys. G: Nucl. Part. Phys. 38, 085001 (2011), in this article, we apply our nonrelativistic quark model to calculate the spectra and decays of the orbitally excited states (P -and D-waves) of heavy quarkonia. The full QQ potential used in our model consists of a Hulthen potential and a confining linear potential. The spin hyperfine, spin-orbit and tensor interactions are introduced to obtain the masses of the P -and D-wave states. The three-dimensional harmonic oscillator wave function is employed as a trial wave function to obtain the mass spectra. The model parameters and the wave function that reproduce the mass spectra of cc and bb mesons are used to investigate their decay properties. The two-photon decay widths, twogluon decay widths and E1 radiative decay widths are calculated. The obtained values are compared with the experimental results and those obtained from other theoretical models. Int. J. Mod. Phys. A 2012.27. Downloaded from www.worldscientific.com by NEW YORK UNIVERSITY on 02/08/15. For personal use only. 1250011-2 Int. J. Mod. Phys. A 2012.27. Downloaded from www.worldscientific.com by NEW YORK UNIVERSITY on 02/08/15. For personal use only.

Nonrelativistic treatment of fully-heavy tetraquarks as diquark-antidiquark states

“…To account these Lorentz structures, it was assumed that the terms in Eq. (1) have partly vector and partly scalar [73]. In our formalism, as an alternative we use a different manner.…”

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

“…The spin-orbit splittings calculated in our model [57] and in [58] for heavy quark system such as bottomonium and charmonium suggests a scalar confinement. W. Lucha et al [58], Bhagyesh et al [59,60] and Bhagyesh and K. B. Vijaya Kumar [61] used a mixture of scalar and vector confinement potential to explain the mass spectra and decays of heavy quarkonia. In our calculation we use a one gluon exchange potential and a purely linear confinemnt potential.…”

Properties of Charmonium States in a Phenomenological Approach

“…These QCD inspired potential models use a short range part motivated by perturbative QCD (Coulomb like or one gluon exchange potential) [20,[22][23][24][25][26][27][28][29][30] and a phenomenological long range part accounting for confinement (i.e. linear, logarithmic or quadratic potential) [31][32][33][34][35][36][37][38]. Our Model uses the NRQM formalism for the study of low lying charmonium states using a Hamiltonian which has the heavy quark potential from the instanton vacuum depending on r, the inter quark distance.…”