Status of quarkonia-like negative and positive parity states in a relativistic confinement scheme

Tanvi Bhavsar,P. C. Vinodkumar,Manan Shah

doi:10.1140/epjc/s10052-018-5694-3

Abstract

Properties of quarkonia-like states in the charm and bottom sector have been studied in the frame work of relativistic Dirac formalism with a linear confinement potential. We have computed the mass spectroscopy and decay properties (vector decay constant and leptonic decay width) of several quarkonia-like states. The present study is also intended to identify some of the unexplained states as mixed P-wave and mixed S–D-wave states of charmonia and bottomonia. The results indicate that the X(4140) state can be an admixture of two P states of charmonium. And the charmonium-like states X(4630) and X(4660) are the admixed state of S–D-waves. Similarly, the X(10610) state recently reported by Belle II can be mixed P-states of bottomonium. In the relativistic framework we have computed the vector decay constant and the leptonic decay width for S wave charmonium and bottomonium. The leptonic decay widths for the J^{PC} = 1^{--} mixed states are also predicted. Further, both the masses and the leptonic decay width are considered for the identification of the quarkonia-like states.

Highlights

Most of these unknown states do not fit in the standard charmonium and bottomonium spectra [3,4]
Phenomenological models either non-relativistic quark model (NRQM) or the relativistic quark model have been developed to study the properties of heavy mesons [21–23]
In the framework of the Dirac relativistic quark model, we have studied the mass spectrum of bottomonium-like and charmonium-like states

Summary

Introduction

Most of these unknown states do not fit in the standard charmonium and bottomonium spectra [3,4]. All the narrow charmonium states below the open-charm threshold have been observed experimentally and their mass spectrum can be well described by potential models [5]. A large amount of data on charmonium and bottomonium production is available at RHIC [8–12] and at the LHC [13–19], significantly extending our understanding of quarkonium production in deconfined matter [20]. There are various issues related to higher excited states which are still to be resolved. In this context, phenomenological models either non-relativistic quark model (NRQM) or the relativistic quark model have been developed to study the properties of heavy mesons (charmonium and bottomonium) [21–23]

Objectives

Discussion

Conclusion