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arXiv 2602.02176hep-phhep-lathep-th
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从格点QCD结果的有效场论分析中获得浅层T_{bc}态

Shallow $T_{bc}$ states from an EFT analysis of $B^{(*)} \bar D^{(*)}$ scattering on the lattice

Ruhr-Universität Bochum(波鸿鲁尔大学);Southeast University(东南大学)

Michael Abolnikov, Lu Meng, Vadim Baru, Evgeny Epelbaum, Arseniy A. Filin, Ashot M. Gasparyan

AI总结:

通过有效场论分析,研究B^{(*)}D^{(*)}散射中的浅层束缚态,发现其与重夸克自旋对称性一致,并预测未来可探测的额外束缚态。

摘要:

我们提出了一个有效场论(EFT)框架,用于耦合通道B^{(*)}D^{(*)}散射,将其应用于Alexandrou等人[Phys. Rev. Lett. 132, 151902 (2024)]最近的格点QCD结果。开发了两种互补的EFT方法:(1) 一种低能理论,接近B D(J=0)和B* D(J=1)阈值,其中耦合通道效应被积分出去;(2) 一种耦合通道 formulation,其中所有相关动量尺度均被处理为软,包含接触相互作用和一个π交换(OPE)。重要的是,OPE仅通过非对角跃迁影响最低通道,因此导致了由双π交换产生的左手切口。两种方法得出的结果相互一致,支持了两个通道中浅层束缚态的存在,与格点结果一致。有限体积谱和提取的极点位置显示J=0和J=1通道的近似简并,与重夸克自旋对称性(HQSS)一致。利用HQSS,我们预测了额外的浅层束缚态,这些态接近B D*和B* D*阈值,这些态将可通过未来的格点模拟来研究。OPE对有限体积谱的影响被发现很小,对HQSS伙伴只有中等影响。

英文摘要:

We present an effective field theory (EFT) framework for coupled-channel $B^{(*)}\bar D^{(*)}$ scattering, applying it to recent lattice QCD results by Alexandrou et al. [Phys. Rev. Lett. 132, 151902 (2024)]. Two complementary EFT approaches are developed: (1) A low-energy theory near the $B \bar D$ ($J=0$) and $B^* \bar D$ ($J=1$) thresholds, where coupled-channel effects are integrated out; (2) A coupled-channel formulation, where all relevant momentum scales are treated as soft, incorporating contact interactions and one-pion exchange (OPE). Importantly, OPE contributes to the lowest channels only through off-diagonal transitions, thus resulting in the appearance of the left-hand cut from two-pion exchange. The two approaches yield mutually consistent results, supporting the existence of shallow bound states in both channels, in agreement with the lattice findings. The finite-volume spectra and extracted pole positions show a near-degeneracy in $J=0$ and $J=1$ channels, consistent with heavy-quark spin symmetry (HQSS). Using HQSS, we predict additional shallow bound states near the $B \bar{D}^*$ and $B^* \bar{D}^*$ thresholds, which are accessible to future lattice simulations. The effect of OPE on the finite volume spectra is found to be small, with only moderate impact on HQSS partners.

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。

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