介子和重子在细长盒子中的散射相移公式
Scattering phaseshift formulas for mesons and baryons in elongated boxes
摘要:
我们推导出了一维盒子中两粒子态的Lüscher相移公式。这种盒子提供了一种改变粒子相对动量的成本效益高的方法。也被认为是在伸长的方向,这使得更广泛的访问能量的提升状态。各种方案的公式(移动和零动量状态的立方体和细长的盒子)进行了比较,并澄清它们之间的关系。结果适用于一系列广泛的介子-介子和介子-重子弹性散射过程,具有相等或不等质量的两粒子系统。
英文摘要:
We derive Lüscher phaseshift formulas for two-particle states in boxes elongated in one of the dimensions. Such boxes offer a cost-effective way of varying the relative momentum of the particles. Boosted states in the elongated direction, which allow wider access to energies, are also considered. The formulas for the various scenarios (moving and zero-momentum states in cubic and elongated boxes) are compared and relations between them are clarified. The results are applicable to a wide set of meson-meson and meson-baryon elastic scattering processes, with the two-particle system having equal or unequal masses.
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