Zhi-bin Gao | Searcharxiv

arXiv2024

M1 Radiative and spin-nonflip $ππ$ transitions of $B_c$ states in the Cornell potential model

In this paper, we mainly predict the rates of $M$1 radiative and spin-nonflip $ππ$ transitions of the $B_{c}$-meson under the nonrelativistic Cornell potential model with a screening potential effect. We employ the numerical wave function to determine the $M$1 radiative transition widths of $B_c$ excited states and utilize the Kuang-Yan proposed method for the spin-nonflip $ππ$ transitions among $B_c$ states. Our theoretical results are valuable for studying the $M$1 radiative and spin-nonflip $ππ$ transition processes of $B_c$ states in experiments.

hep-ph↗

arXiv2022

WKB approximation under Killingbeck potential and its application to double heavy meson mass spectrum

As we all known that non-relativistic or semi-relativistic constituent quark models can describe a large number of the meson sand baryon properties with surprising accuracy. In this work, we studied Killingbeck potential by using WKB approximation in the constituent quark model. The implicit approximate solution of the energy eigenvalue of the Schrödinger equation is obtained by using appropriate quantization conditions. Under the Killingbeck potential with the WKB approximation, we studied the spectra of double heavy mesons and predict the masses of high excited states in $c\bar{c}$, $b\bar{b}$ and $b\bar{c}$ families. Finally, we discuss the application scope of double heavy mesons in Killingbeck potential.

hep-ph↗