屏蔽势下$\mathit {B}$和$\mathit {B_s}$介子的光谱性质
Spectroscopic Properties of $\mathit {B}$ and $\mathit {B_s}$ meson using Screened Potential
摘要:
受最近在LHCb \cite{Aaij:2020hcw}上观测到的$B$和$B_s$介子态的启发,我们计算了基态、轨道和径向激发态的质量。此外,我们估计的混合参数,衰变常数,轻子衰变宽度,和相应的分支比,以及电磁跃迁宽度。在哈密顿量中加入了对势能和动能项的相对论修正${\cal{O}}\left(\frac{1}{m}\right)$和${\cal{O}}(p^{10})$。采用高斯波函数求解屏蔽势。利用估计的质量构造了Regge轨道,帮助我们把一些新观测到的态与$B$和$B_s$介子族联系起来.总的来说,本研究的结果与现有的实验和理论研究是一致的。
英文摘要:
Inspired by the recent observations of $B$ and $B_s$ meson states at LHCb\cite{Aaij:2020hcw} we calculate the masses of ground, orbitally, and radially excited states. Also, we estimate the mixing parameters, decay constant, leptonic decay width, and corresponding branching ratios, as well as electromagnetic transition widths. ${\cal{O}}\left(\frac{1}{m}\right)$ and ${\cal{O}}(p^{10})$ relativistic corrections to potential and kinetic energy terms have been added to the Hamiltonian. The screening potential employed is solved by applying the gaussian wave function. The estimated masses are used to construct the Regge trajectories, which help us in the association of some newly observed states to $B$ and $B_s$ meson family. Overall, the results from the present study are in fair agreement with available experimental and theoretical studies.
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