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arXiv 1407.2372hep-phhep-latnucl-th
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s波阈值附近的强子质量标度

Hadron mass scaling near the s-wave threshold

Tetsuo Hyodo

摘要:

研究了双强子阈值对强子质量标度与量子色动力学参数的关系。引入了一个量子力学模型来描述单弹性两体散射耦合的单体裸态系统。由Jost函数在阈值附近的展开式导出了局域势在两体阈值附近束缚态和共振态态能量的一般行为。结果表明,相同的标度举行的耦合到裸态诱导的非局域势。在p或更高的分波中,稳定束缚态的标度律继续跨越描述共振能量实部的阈值。相反,标度的主要贡献是禁止的非微扰动力学附近的s波阈值。因此,束缚态能量不连续地连接到共振能量的实部。这种普遍的行为起源于s波中零能共振的场重整化常数的消失。给出了场重整化常数为零的证明,并进行了详细的讨论。

英文摘要:

The influence of a two-hadron threshold is studied for the hadron mass scaling with respect to some quantum chromodynamics parameters. A quantum mechanical model is introduced to describe the system with a one-body bare state coupled with a single elastic two-body scattering. The general behavior of the energy of the bound and resonance state near the two-body threshold for a local potential is derived from the expansion of the Jost function around the threshold. It is shown that the same scaling holds for the nonlocal potential induced by the coupling to a bare state. In p or higher partial waves, the scaling law of the stable bound state continues across the threshold describing the real part of the resonance energy. In contrast, the leading contribution of the scaling is forbidden by the nonperturbative dynamics near the s-wave threshold. As a consequence, the bound state energy is not continuously connected to the real part of the resonance energy. This universal behavior originates in the vanishing of the field renormalization constant of the zero-energy resonance in the s wave. A proof is given for the vanishing of the field renormalization constant, together with a detailed discussion.

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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