Title: Electromagnetic properties of the $D_{s1}^{+}(2460)$, $D_{s1}^{+}(2536)$, and their bottom partners in a molecular configuration Show Chinese title

Title: 电磁性质的$D_{s1}^{+}(2460)$、$D_{s1}^{+}(2536)$及其底部伙伴在分子配置中

Abstract: We investigate the electromagnetic properties of the axial-vector molecular states $D^* K$, $DK^*$, $B^* K$, and $BK^*$, which are used to model the charmed states $D_{s1}^{+}(2460)$, $D_{s1}^{+}(2536)$, and their bottom partners with quantum numbers $J^P = 1^+$. To our knowledge, this presents the first comprehensive calculation of the magnetic and quadrupole moments for these specific molecular configurations. Employing the QCD light-cone sum rule method with molecular-type interpolating currents, we compute these moments and perform a detailed flavor decomposition to reveal the internal distribution of the electromagnetic charge and spin. Our results demonstrate that the light up and down quarks dominate the electromagnetic response, with negligible contributions from the heavy quarks. The $D^* K$ and $B^* K$ states exhibit negative quadrupole moments and slightly oblate charge distributions, whereas the $DK^*$ and $BK^*$ states possess positive quadrupole moments and prolate distributions, with significant contributions from the strange quark. The predicted moments provide benchmarks for lattice QCD calculations and are testable through their influence on radiative transitions and photo- and electro-production observables at high-luminosity facilities, offering crucial insights into the internal structure and nature of these axial-vector states. Show Chinese abstract

Abstract: 我们研究轴矢量分子态$D^* K$、$DK^*$、$B^* K$和$BK^*$的电磁性质，这些态用于模拟具有量子数$J^P = 1^+$的重夸克态$D_{s1}^{+}(2460)$、$D_{s1}^{+}(2536)$及其底夸克对应态。 据我们所知，这是对这些特定分子构型的磁矩和四极矩的首次全面计算。 采用分子型插值流的QCD轻锥求和规则方法，我们计算了这些矩，并进行了详细的味分解以揭示电磁电荷和自旋的内部分布。 我们的结果表明，轻夸克上夸克和下夸克主导了电磁响应，而重夸克的贡献可以忽略不计。 $D^* K$和$B^* K$状态表现出负的四极矩和略微扁平的电荷分布，而$DK^*$和$BK^*$状态具有正的四极矩和长形分布，其中含有来自奇异夸克的重要贡献。 预测的矩为格点QCD计算提供了基准，并可通过它们对高亮度设施中辐射跃迁以及光致和电致产生可观测量的影响进行检验，从而为这些轴矢态的内部结构和性质提供关键见解。