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arXiv 1607.04053hep-phnucl-th
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$ΛΛ$散射中H-重子的夸克质量依赖性

Quark mass dependence of H-dibaryon in $ΛΛ$ scattering

Yasuhiro Yamaguchi, Tetsuo Hyodo

摘要:

研究了奇异态$S=-2$重子-重子散射中H-重子的夸克质量依赖性。用低能有效场论描述耦合道散射,并考虑夸克质量的依赖性,从而在SU(3)极限下再现了HAL QCD合作的格点量子色动力学数据.指出在SU(3)极限下,$ΛΛ$散射振幅在阈值以下存在一个Castillejo-Dalitz-Dyson(CDD)极点,这可能导致物理点上$NΞ$阈值附近的Ramsauer-Townsend效应. H-二重子在物理点上是不受束缚的,共振出现在$NΞ$阈值之下。作为耦合通道动力学的结果,与共振相关联的极点在SU(3)极限中不连续地连接到束缚态。通过夸克质量的外推,我们证明了$ΛΛ$散射的幺正极限在物理点和SU(3)极限之间。我们讨论了在非物理夸克质量区中“H物质”的可能实现。

英文摘要:

We study the quark mass dependence of the H-dibaryon in the strangeness $S=-2$ baryon-baryon scattering. A low-energy effective field theory is used to describe the coupled-channel scattering, in which the quark mass dependence is incorporated so as to reproduce the lattice QCD data by the HAL QCD collaboration in the SU(3) limit. We point out the existence of the Castillejo-Dalitz-Dyson (CDD) pole in the $ΛΛ$ scattering amplitude below the threshold in the SU(3) limit, which may cause the Ramsauer-Townsend effect near the $NΞ$ threshold at the physical point. The H-dibaryon is unbound at the physical point, and a resonance appears just below the $NΞ$ threshold. As a consequence of the coupled-channel dynamics, the pole associated with the resonance is not continuously connected to the bound state in the SU(3) limit. Through the extrapolation in quark masses, we show that the unitary limit of the $ΛΛ$ scattering is achieved between the physical point and the SU(3) limit. We discuss the possible realization of the "H-matter" in the unphysical quark mass region.

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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