AI 中文总结
本研究在非相对论夸克模型中系统研究D和D_s介子光谱，精确重现质量并完成衰变分析，提取HQET耦合常数，为奇特态和Regge轨迹提供预测，供实验检验。
AI 中文摘要
我们在基于Cornell（库仑加线性）势并辅以高斯涂抹的自旋-自旋相互作用的非相对论夸克-反夸克势模型中，解码了激发态的开粲介子$D$（$c\bar{q}$，$q=u,d$）和粲奇异$D_s$（$c\bar{s}$）家族。仅通过拟合基态质量确定的七个参数，数值求解的薛定谔方程便以优于1%的精度重现了几乎所有已确认的$D$和$D_s$态的质量。随后利用相同的波函数进行了完整的衰变分析，包括赝标量和矢量衰变常数（$f_D = 231.8$~MeV，$f_{D_s} = 252.2$~MeV，后者与世界平均值相差0.4%以内）、重现测量到的$\mu\nu$和$\tau\nu$模式的轻子衰变分支比、电磁$E1$/$M1$宽度，以及重夸克有效理论（HQET）中所有运动学上允许的强子通道。超越宽度比，我们直接从测量的总宽度中提取了完整的HQET耦合常数$g_H$、$g_S$、$g_T$、$g_X$、$g_Y$、$g_Z$和$g_R$，并将我们的预测转换为绝对宽度。$D$和$D_s$扇区对每个耦合常数的提取结果一致（$g_T = 0.42$对$0.39$，$g_X = 0.22$对$0.21$，$g_Y = 0.39$对$0.40$），这是对重夸克味对称性的一个非平凡检验，而纯粹的$c\bar{s}$图像要求$1^3P_0$宽度比观测到的$D_{s0}^*(2317)$束缚态高出近两个数量级，表明其具有奇特性质。在$(J,M^2)$和$(n_r,M^2)$平面上的线性和平行Regge轨迹，斜率$\alpha \simeq 0.55-0.65$~GeV$^{-2}$和$\beta \simeq 0.36 - 0.39$~GeV$^{-2}$，确定了$D_J(3000)^0$、$D_J^*(3000)^0$和$D_2^*(3000)^0$分别为$3^1S_0$、$3^3S_1$和$3^3P_2$态的指派。我们的预测为LHCb、BESIII和Belle~II提供了具体、可检验的目标。
英文摘要
We decode the excited open charm mesons $D$ ($c\bar{q}$, $q=u,d$) and charm strange $D_s$ ($c\bar{s}$) families within a nonrelativistic quark-antiquark potential model based on the Cornell (Coulomb plus linear) potential supplemented by a Gaussian smeared spin-spin interaction. With only seven parameters determined by fitting the ground state masses, the numerically solved Schrödinger equation reproduces the masses of essentially every confirmed $D$ and $D_s$ state to better than $1\%$. The same wave functions are then employed to get a complete decay analysis including pseudoscalar and vector decay constants ($f_D = 231.8$~MeV, $f_{D_s} = 252.2$~MeV, the latter within $0.4\%$ of the world average), leptonic branching fractions reproducing the measured $μν$ and $τν$ modes, electromagnetic $E1$/$M1$ widths, and all kinematically open strong channels in heavy quark effective theory (HQET). Going beyond width ratios, we extract the full set of HQET couplings $g_H$, $g_S$, $g_T$, $g_X$, $g_Y$, $g_Z$, and $g_R$ directly from the measured total widths and convert our predictions into absolute widths. The $D$ and $D_s$ sector extractions of each coupling agree ($g_T = 0.42$ vs. $0.39$, $g_X = 0.22$ vs. $0.21$, $g_Y = 0.39$ vs. $0.40$), a nontrivial test of heavy quark flavor symmetry, while the pure $c\bar{s}$ picture demands a $1^3P_0$ width nearly two orders of magnitude above the observed $D_{s0}^*(2317)$ bound demanding it to be of exotic nature. Linear and parallel Regge trajectories in the $(J,M^2)$ and $(n_r,M^2)$ planes, with slopes $α\simeq 0.55-0.65$~GeV$^{-2}$ and $β\simeq 0.36 - 0.39$~GeV$^{-2}$, identify the assignments of $D_J(3000)^0$, $D_J^*(3000)^0$, and $D_2^*(3000)^0$ as the $3^1S_0$, $3^3S_1$, and $3^3P_2$ states. Our predictions provide concrete, testable targets for LHCb, BESIII, and Belle~II.
