Decay rates of charmonia within a quark-antiquark confining potentials

Abstract

In this work, we investigate the spectroscopy and decay rates of charmonia within the framework of non-relativistic Schrödinger equation by employing an approximate inter quark-antiquark potential. The spin hyperfine, spin-orbit and tensor components of the one gluon exchange interaction are employed to compute the spectroscopy of the excited S states and few low-lying P and D waves. The resultant wave functions at zero inter quark separation as well as some finite separation are employed to predict the di-gamma, di-leptonic and di-gluon decay rates of charmonia states by using the conventional Van Royen-Weisskopf formula. The di-gamma and di-leptonic decay widths are also computed by incorporating the relativistic corrections of order $v^4$ within the NRQCD formalism. We have observed that the NRQCD predictions with their matrix elements computed at finite radial separation yielded results which are found to be in better agreement with experimental value for both di-gamma and di-leptonic decays. The same scenario is seen in the case when di-gamma and di-leptonic decay widths are computed with Van Royen-Weisskopf formula. It is also observed that the di-gluon decay width with the inclusion of binding energy effects are in better agreement with the experimental data available for 1S-2S and 1P. The di-gluon decay width of 3S and 2P waves waves are also predicted. Thus, the present study of decay rates clearly indicates the importance of binding energy effects.

References in corpus (15)

• Heavy quarkonium: progress, puzzles, and opportunities
• Charmonium
• Higher Charmonia and X,Y,Z states with Screened Potential
• Quarkonia and their transitions
• Potential model calculations and predictions for heavy quarkonium
• Improved determination of color-singlet nonrelativistic QCD matrix elements for S-wave charmonium
• Properties of $Q\bar{Q}$ mesons in non-relativistic QCD formalism
• Dynamic Properties of Charmonium
• Potential-model calculation of an order-v^2 NRQCD matrix element
• Two Photon Decays of Charmonia from Lattice QCD
• Covariant light-front approach for heavy quarkonium: decay constants, P \to γγand V \to P γ
• Leptonic and Digamma decay Properties of S-wave quarkonia states
• Two-photon width of eta_c and eta'_c from Heavy-Quark Spin Symmetry
• Annihilation Rate of Heavy 0^{++} P-wave Quarkonium in Relativistic Salpeter Method
• Relevance of various Dirac covariants in hadronic Bethe-Salpeter wave functions in electromagnetic decays of ground state vector mesons

Cited by in corpus (7)

• $Q\bar{Q}$ ($Q\in \{b,c\}$) spectroscopy using Cornell potential
• Status of quarkonia - like negative and positive parity states in a relativistic confinement scheme
• An approach to calculation of mass spectra and two-photon decays of $c\overline{c}$ mesons in the framework of Bethe-Salpeter Equation
• Investigation of the mass spectra of singly heavy baryons ${\Sigma }_Q$, ${\Xi }_Q^{\prime }$ and ${\Omega }_Q$ $(Q=c,b)$ in the Regge trajectory model
• Charmonium Properties Using the Discrete Variable Representation (DVR) Method
• Radiative decay widths of ground and excited states of vector charmonium and bottomonium
• Spin splitting spectroscopy of heavy quark anti quark systems