Spectroscopy and decay properties of charmonium

Virendrasinh Kher,Ajay Kumar Rai

doi:10.1088/1674-1137/42/8/083101

Abstract

The mass spectra of charmonium are investigated using a Coulomb plus linear (Cornell) potential. Gaussian wave functions in position space as well as in momentum space are employed to calculate the expectation values of potential and kinetic energy respectively. Various experimental states (X(4660)(53S1), X(3872)(23P1), X(3900)(21P1), X(3915)(23P0) and X(4274)(33P1) etc.) are assigned as charmonium states. We also study the Regge trajectories, pseudoscalar and vector decay constants, electric and magnetic dipole transition rates, and annihilation decay widths for charmonium states.

Highlights

The discovery of the J/ψ, first bound state of c and c quarks, known as charmonium, is published in Ref.[1], whereas Ref.[2] describes the first observation of the ψ(2S) and marked the field of hadron spectroscopy with the beginning of an important testing ground for the properties of the strong interaction using QCD
The charmonium spectroscopy below the open charm threshold has been well measured and agrees with the theoretical expectations, there are still lack of adequate experimental informations and solid theoretical inductions for the charmonium states above the open charm threshold [4]
In the framework of Cornell potential with a Gaussian wave function and relativistic correction of the Hamiltonian, comprise with a O(1/m) rectification in the potential energy term and elaboration of the kinetic energy term up to O (p10), we have studied the mass spectra of charmonium states

Summary

Introduction

The discovery of the J/ψ, first bound state of c and c quarks, known as charmonium, is published in Ref.[1], whereas Ref.[2] describes the first observation of the ψ(2S) and marked the field of hadron spectroscopy with the beginning of an important testing ground for the properties of the strong interaction using QCD. Charmonium system allows the prediction of some of the parameters of the states, using non-relativistic and relativistic potential models, lattice QCD, NRQCD and sum rules [3]. Many other new resonances named X Y Z particles have been discovered and are still under examination as these states do not match the predictions of the non-relativistic or semi-relativistic qqpotential models. Ablikim and others at BES collaboration and Mo and others at Beijing Institute HEP, determined the resonance parameters for ψ(4040), ψ(4160) and ψ(4415) charmonium. Eichten identified that these three resonances are 33S1, 23D1 and 43S1 with linear plus Coulomb potential model [7] and most later potential model calculations are agreed with their identification. In the year 2007, a resonant structure was observed by Belle collaboration with mass 4664±11±5 MeV [9] and after one year later same collaboration observed a clear peak in the e+e− → Λ+c Λ−c invariant mass distribution and assumed that the observed peak to be a resonance of mass 4634+−87+−58 MeV with the possibility of 53S1 charmonium state [10]

Methods

Results

Conclusion