arXiv 2409.032852024-09hep-ph

变分方案与HQET中的开粲介子

Open charm mesons in variational scheme and HQET

K. K. Vishwakarma, Ritu Garg, Alka Upadhyay

备注：: 23 pages, 6 figures

阅读 PDF

arXiv 页面 ↗HTML 原文 ↗

AI总结：

该研究利用变分方案和高斯波函数计算开粲介子谱，并通过重夸克有效理论分析其强衰变，为多个新观测态赋予自旋-宇称量子数。

摘要：

在变分方案中，利用高斯试探波函数研究了粲（$D$）介子和粲奇异（$D_s$）介子。哈密顿量包含Song-Lin势，其中含有一个依赖于径向和轨道量子数的常数项。所用的高斯波函数依赖于径向距离$r$、径向量子数$n$、轨道量子数$l$以及一个试探参数$\mu$。所得到的$D$和$D_s$介子谱与其他理论模型及现有实验质量符合良好。$D$和$D_s$介子的质量谱还用于绘制($J$, $M^2$)平面和($n_r$, $M^2$)平面上的Regge轨迹。在($J$, $M^2$)平面中，绘制了$D$和$D_s$介子的自然宇称态和非自然宇称态。这些轨迹相互平行且等距。在重夸克有效理论框架下，利用计算得到的质量分析了$D$和$D_s$的两体强衰变。强衰变宽度以强耦合常数的形式给出。这些耦合常数还通过与观测态的现有实验值进行比较来估算。此外，分析了不同态的部分衰变宽度比，并用于为观测态提出自旋-宇称赋值。我们将新观测到的$D^*_{s2}(2573)$赋为$D^*_2(2460)$的奇异伙伴，识别为$1^3P_2$；$D_1^*(2760)$和$D^*_{s1}(2860)$赋为$1^3D_1$；$D^*_3(2750)$和$D^*_{s3}(2860)$赋为$1^3D_3$；$D_2(2740)$赋为$1D_2$；$D_0(2550)$赋为$2^1S_0$；$D^*_1(2660)$和$D^*_{s1}(2700)$赋为$2^3S_1$；$D^*_J(3000)$赋为$2^3P_0$；$D_J(3000)$赋为$2P_1$；$D^*_2(3000)$赋为$1^3F_2$态。

英文摘要：

The charm ($D$) and charm-strange ($D_s$) mesons are investigated in a variational scheme using Gaussian trial wave functions. The Hamiltonian contains Song and Lin potential with a constant term dependent on radial and orbital quantum numbers. The Gaussian wave function used has a dependence on radial distance $r$, radial quantum number $n$, orbital quantum number $l$ and a trial parameter $μ$. The obtained spectra of $D$ and $D_s$ mesons are in good agreement with other theoretical models and available experimental masses. The mass spectra of $D$ and $D_s$ mesons are also used to plot Regge trajectories in the ($J$, $M^2$) and ($n_r$, $M^2$) planes. In ($J$, $M^2$) plane, both natural and unnatural parity states of $D$ and $D_s$ mesons are plotted. The trajectories are parallel and equidistant from each other. The two-body strong decays of $D$ and $D_s$ are analyzed in the framework of heavy quark effective theory using computed masses. The strong decay widths are given in terms of strong coupling constants. These couplings are also estimated by comparing them with available experimental values for observed states. Also, the partial decay width ratios of different states are analyzed and used to suggest assignments to the observed states. We have assigned the spin-parity to newly observed $D^*_{s2}(2573)$ as the strange partner of $D^*_2(2460)$ identified as $1^3P_2$, $D_1^*(2760)$ and $D^*_{s1}(2860)$ as $1^3D_1$, $D^*_3(2750)$ and $D^*_{s3}(2860)$ as $1^3D_3$, $D_2(2740)$ as $1D_2$, $D_0(2550)$ as $2^1S_0$, $D^*_1(2660)$ and $D^*_{s1}(2700)$ as $2^3S_1$, $D^*_J(3000)$ as $2^3P_0$, $D_J(3000)$ as $2P_1$, $D^*_2(3000)$ as $1^3F_2$ states.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

AI总结：

摘要：

英文摘要：

相关论文