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arXiv 2011.14517hep-phhep-exhep-latnucl-th
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重夸克强子谱中多阈值结构的解释

Explaining the Many Threshold Structures in the Heavy-Quark Hadron Spectrum

Xiang-Kun Dong, Feng-Kun Guo, Bing-Song Zou

备注：
Title changed, version to appear in Phys. Rev. Lett.; 8 pages, 2 figures
发表信息：
Phys. Rev. Lett. 126, 152001 (2021)
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摘要：

在过去的二十年里，重夸克强子谱的实验研究取得了巨大的进展。令人惊讶的是，许多共振结构都在一对重强子的阈值附近。在任何$S$波阈值处应有一个阈值尖点。通过构造一个具有开放通道的非相对论性有效场论，讨论了阈值行为的一般性，并对重夸克偶素区大量出现的近阈值峰给出了解释。我们发现，阈值尖点可以显示为一个峰值，只有与有吸引力的相互作用的通道，和尖点的宽度是成反比的减少相关的阈值的质量。我们认为，在与开味强子对耦合的重夸克偶素和轻强子的不变质量分布中，在任意阈值处都应该存在阈值结构，这对强子在阈值处具有吸引相互作用.如果存在近阈值极点，则该结构变得更加明显。对基态重强子的可能配对也作了预测。精确测量阈结构对于揭示重强子相互作用，进而理解令人困惑的隐魅结构和隐底结构具有重要作用。

英文摘要：

Tremendous progress has been made experimentally in the hadron spectrum containing heavy quarks in the last two decades. It is surprising that many resonant structures are around thresholds of a pair of heavy hadrons. There should be a threshold cusp at any $S$-wave threshold. By constructing a nonrelativistic effective field theory with open channels, we discuss the generalities of threshold behavior, and offer an explanation of the abundance of near-threshold peaks in the heavy quarkonium regime. We show that the threshold cusp can show up as a peak only for channels with attractive interaction, and the width of the cusp is inversely proportional to the reduced mass relevant for the threshold. We argue that there should be threshold structures at any threshold of a pair of heavy-quark and heavy-antiquark hadrons, which have attractive interaction at threshold, in the invariant mass distribution of a heavy quarkonium and light hadrons that couple to that open-flavor hadron pair. The structure becomes more pronounced if there is a near-threshold pole. Predictions of the possible pairs are also given for the ground state heavy hadrons. Precisely measuring the threshold structures will play an important role in revealing the heavy-hadron interactions, and thus understanding the puzzling hidden-charm and hidden-bottom structures.

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