Eur. Phys. J. Plus (2021) 136: 42
https://doi.org/10.1140/epjp/s13360-020-01039-7

Regular Article

Spectroscopic properties of D-meson using screened potential

¹ Department of Applied Physics, Sardar Vallabhbhai National Institute of Technology, 395007, Surat, Gujarat, India
² Department of Physics, Uka Tarsadia University, 394250, Bardoli, Gujarat, India

^c raiajayk@gmail.com

Received: 9 October 2020
Accepted: 22 December 2020
Published online: 4 January 2021

Abstract

Detailed study of the masses of ground, orbitally and radially excited states of $D$-meson $Q\overline{q}$, $(Q=c,\overline{q}=u/d)$ in the framework of screened potential model with the Gaussian wave-function is done in the present article. $\mathcal{O}\left(\frac{1}{m}\right)$ correction to the potential energy term and relativistic correction to the kinetic energy term $\mathcal{O}(p^{10})$ is incorporated in the Hamiltonian. The spin-hyperfine, spin-orbit and tensor interactions incorporating the effect of mixing are employed to obtain the pseudoscalar, vector and radially and orbitally excited meson masses. The Regge trajectories in $(J,M^2)$ and $(n_r,M^2)$ planes are constructed, which help in associating some excited states observed in various experimental facilities to $D$-meson family. Various properties like mixing parameters, decay constant, leptonic decay widths and corresponding branching ratios, as well as electromagnetic transition widths are also calculated.