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arXiv 1607.01899hep-phnucl-th
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有效场论中复合性的广义弱束缚关系

Generalized weak-binding relations of compositeness in effective field theory

Yuki Kamiya, Tetsuo Hyodo

摘要:

我们通过研究近阈态的复合性来研究奇异强子候选者的内部结构。在有效场论的框架内,通过放宽几个前提条件,将Weinberg的弱束缚关系推广到更一般的情形。首先,通过计算衰变道的贡献,我们得到了不稳定准束缚态的一般关系。接下来,我们推广的关系,包括附近的CDD(Castillejo-Dalitz-Dyson)极点的贡献与帕德近似的帮助。通过数值计算检验了广义弱束缚关系下估计的有效性。提出了系统地评价弱束缚关系中的误差的方法。最后,通过对Lambda(1405),f0(980)和a0(980)的推广,讨论了它们的内部结构,并与其它方法进行了比较。

英文摘要:

We study the compositeness of near-threshold states to investigate the internal structure of exotic hadron candidates. Within the framework of effective field theory, Weinberg's weak-binding relation is extended to more general cases by easing several preconditions. First, by evaluating the contribution from the decay channel, we obtain the generalized relation for unstable quasibound states. Next, we generalize the relation to include the nearby CDD (Castillejo-Dalitz-Dyson) pole contribution with the help of the Pade approximant. The validity of the estimation with the generalized weak-binding relations is examined by numerical calculations. The method to systematically evaluate the error in the weak-binding relation is presented. Finally, by applying the extended relation to Lambda(1405), f0(980) and a0(980), we discuss their internal structure, in comparison with other approaches.

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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