arXiv subjects

Cheng-qun Pang

Publications and source records attributed to Cheng-qun Pang.

8 recordsLinked to original sources

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↗

arXiv2023

Higher states of the $B_c$ meson family

In this work, we study higher $B_c$ mesons to the $L=S$, $P$, $D$, $F$, $G$ multiplets using the Cornell potential model, which takes account of the screening effect. The calculated mass spectra of $B_c$ states are in reasonable agreement with the present experimental data. Based on the spectroscopy, partial widths of all allowed radiative transitions and strong decays of each state are also evaluated by applying our numerical wave functions. Comparing our results with the former results, we point out the difference among various models and derive new conclusions obtained in this paper. Our theoretical results are valuable for searching more $B_c$ mesons in experiments.

hep-ph↗

arXiv2022

Can the three new states around 2.2 GeV assign to $ω(3D)$

Recently, the BESIII Collaboration reported three resonances: $X(2232)$ with $M = 2232 \pm 19 \pm 27$ MeV and $Γ= 93 \pm 53 \pm 20$ MeV, $X(2200)$ whose mass $M = 2200 \pm 11 \pm 17$ MeV and width $Γ= 74 \pm 20 \pm 24$ MeV as well as $X(2222)$ which has mass of $2222 \pm 7 \pm 2$ MeV and the width of $59 \pm 30 \pm 6$ MeV. The mass spectrum of $ω$ meson family is studied utilizing the modified Godfrey-Isgur model, and the two-body strong decays of $X(2232)$, $X(2200)$ and $X(2222)$ within two different approaches of the $^3P_0$ model. We find that the newly discovered states $X(2232)$, $X(2200)$ and $X(2222)$ may be the same and are most likely to be the $ω(3D)$ state. The discovery could be useful in establishing entire $ω$ mesons.

hep-ph↗

arXiv2022

Arrangement for $K_2^*$ meson family

Two observed structures with $M=1868 \pm 8^{+ 40}_{- 57}$ MeV and $M=2073 \pm 94^{+ 245}_{- 240}$ MeV are the same states ($K_2^*(1980)$) in PDG.The analysis of the mass spectrum and the calculation of the strong decay of $K_2^*$ mesons support the low mass state of $K_2^*(1980)$ as $2^3P_2$ and the high mass state of $K_2^*(1980)$ as $1^3F_2$ in this letter. This analysis brings us very important criterion for the assignment of the observed $K_2^* (1980)$ and experimental findings for this assignment is suggested. Additionally, prediction of some partial decay widths are made on the high excitations of $K_2^*$ family. This study is crucial to establishing and searching for their higher excitations in the future.

hep-ph↗

arXiv2022

The effective $β$ value in a Simple Harmonic Oscillator wave function

When a Simple Harmonic Oscillator (SHO) wave function is used as an effective wave function, a very important parameter in the SHO wave function is the effective $β$ value. We obtain the analytical expression of $β_{eff}$ ($β_{effective}$) of the SHO wave function in coordinate space and momentum space. The expression is applied to the light meson system $(u\bar{u},~u\bar{s})$ to compare the behavior of $β_{eff}$. The results show that $β_ {eff,\mathbf{r}}$ in coordinate space and $β_ {eff,\mathbf{p}}$ in momentum space are significantly different in the ground state, however, similar in the highly excited states with Cornell potential.

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↗

arXiv2019

Excited states of $ϕ$ meson

In this paper, the excited states of $ϕ$ meson, especially containing the newly observed $X(2000)$ with $I(J^P)=0(1^-)$ by the BESIII Collaboration, is studied. In addition, $Y(2175)$ as a $ϕ$ {\color{black}{meson excited state}} is investigated. The mass spectrum and strong decay behaviors of $ϕ$ {\color{black}{meson excited states}} are analyzed, which indicates that $X(2000)$ and $Y(2175)$ are the candidates of $ϕ(3S)$ and $ϕ(2D)$ states with $I(J^P)=0(1^-)$, respectively. In addition, {\color{black}{$ϕ(1D)$ and $ϕ(4S)$ are}} predicted to have the mass of 1.87 GeV and 2.5 GeV and width of 550 MeV and 230 MeV, respectively.

hep-ph↗

arXiv2015

Equivalent of the elliptic function solutions of nonlinear differential equations

In this paper, we point out that many Jacobi elliptic function solutions to non-linear differential equation(NDE) can be transformed each other via the modulus and phase transformation of Jacobi elliptic function. Therefore these solutions are equivalent. We investigate equivalent of the Jacobi elliptic function solutions of Korteweg-de Vries (mKdV) equation as a example.

math.GM↗