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arXiv 1302.4065hep-lathep-phnucl-th
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N(1535)和N(1650)的有限体积效应和夸克质量依赖性

Finite volume effects and quark mass dependence of the N(1535) and N(1650)

Michael Döring, Maxim Mai, Ulf-G. Meißner

摘要:

对于在有限体积中衰减的共振,状态和本征值的简单识别丢失了。散射振幅的提取是一个主要的挑战,我们证明了外推的物理S_{11}振幅的π-核子散射的有限体积和非物理夸克的质量,使用一个统一的手征框架,包括所有的次领先的顺序接触条款。我们证明了夸克质量变化时共振态N(1535)1/2^-和N(1650)1/2^-的极移是非平凡的。此外,存在几个强耦合的S波阈值,其引起与窄共振类似的避免的水平交叉。预测两个典型的晶格设置的水平谱,并讨论了如何从即将到来的晶格数据中提取振幅。

英文摘要:

For resonances decaying in a finite volume, the simple identification of state and eigenvalue is lost. The extraction of the scattering amplitude is a major challenge as we demonstrate by extrapolating the physical S_{11} amplitude of pion-nucleon scattering to the finite volume and unphysical quark masses, using a unitarized chiral framework including all next-to-leading order contact terms. We show that the pole movement of the resonances N(1535)1/2^- and N(1650)1/2^- with varying quark masses is non-trivial. In addition, there are several strongly coupled S-wave thresholds that induce a similar avoided level crossing as narrow resonances. The level spectrum is predicted for two typical lattice setups, and ways to extract the amplitude from upcoming lattice data are discussed.

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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