English

$Q\bar Q$ ($Q\in \{b, c\}$) spectroscopy using Cornell potential

High Energy Physics - Phenomenology 2018-08-06 v2

Abstract

The mass spectra and decay properties of heavy quarkonia are computed in nonrelativistic quark-antiquark Cornell potential model. We have employed the numerical solution of Schr\"odinger equation to obtain their mass spectra using only four parameters namely quark mass (mcm_c, mbm_b) and confinement strength (AccˉA_{c\bar c}, AbbˉA_{b\bar b}). The spin hyperfine, spin-orbit and tensor components of the one gluon exchange interaction are computed perturbatively to determine the mass spectra of excited SS, PP, DD and FF states. Digamma, digluon and dilepton decays of these mesons are computed using the model parameters and numerical wave functions. The predicted spectroscopy and decay properties for quarkonia are found to be consistent with available experimental observations and results from other theoretical models. We also compute mass spectra and life time of the BcB_c meson without additional parameters. The computed electromagnetic transition widths of heavy quarkonia and BcB_c mesons are in tune with available experimental data and other theoretical approaches.

Keywords

Cite

@article{arxiv.1707.07144,
  title  = {$Q\bar Q$ ($Q\in \{b, c\}$) spectroscopy using Cornell potential},
  author = {N. R. Soni and B. R. Joshi and R. P. Shah and H. R. Chauhan and J. N. Pandya},
  journal= {arXiv preprint arXiv:1707.07144},
  year   = {2018}
}
R2 v1 2026-06-22T20:54:40.136Z