论文标题

使用库仑加线性(康奈尔)电势的底元光谱学

Bottomonium spectroscopy using Coulomb plus linear (Cornell) potential

论文作者

Kher, Virendrasinh, Chaturvedi, Raghav, Devlani, Nayneshkumar, Rai, A. K.

论文摘要

库仑加线性(康奈尔)电势用于研究底蒙的质谱。高斯波功能分别用于位置和动量空间,分别用于估计电势和动能的值。基于我们的计算,我们研究了新观察的$ {{\ Mathit门{(10860)}} $作为$ 4^{3} s_ {1} $的混合物,$ 4^{3} d_ {1} d_ {1} $ $ 6^{3} s_ {1} $带有$ 4^{3} d_ {1} $,我们尝试分配$ {{\ boldsymbol就是{(11020)}} $作为纯$ 4^{3} d_ {1} d_ {1} $ bottomonium tostanium toctor。我们还研究了$(J,M^{2})$和$(N_R,M^{2})$飞机中的Regge轨迹,以帮助证明我们的关联。我们估计伪尺度和矢量衰减常数,辐射(电和磁性偶极子)过渡速率以及底池状态的歼灭衰减宽度。

The coulomb plus linear (Cornell) potential is used to investigate the mass spectrum of bottomonium. Gaussian wave function is used in position and momentum space to estimate values of potential and kinetic energies, respectively. Based on our calculations, we study newly observed ${{\mathit Υ}{(10860)}}$ as an admixture of $4^{3}S_{1}$ with $4^{3}D_{1}$, and ${{\mathit Υ}{(10753)}}$ as an admixture of $6^{3}S_{1}$ with $4^{3}D_{1}$ also, we try to assign ${{\boldsymbol Υ}{(11020)}}$ as a pure $4^{3}D_{1}$ bottomonium state. We also study the Regge trajectories in the $(J,M^{2})$ and $(n_r,M^{2})$ planes to help prove our association. We estimate the pseudoscalar and vector decay constants, the radiative (Electric and Magnetic Dipole) transition rates, and the annihilation decay width for bottomonium states.

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