A solvable three-body model in finite volume

被引：67

作者：

Guo, Peng ^{[1
]}

Gasparian, Vladimir ^{[1
]}

机构：

[1] Calif State Univ, Dept Phys & Engn, Bakersfield, CA 93311 USA

来源：

PHYSICS LETTERS B | 2017年 / 774卷

关键词：

SCATTERING; RESONANCE; EQUATIONS; DECAY;

D O I：

10.1016/j.physletb.2017.10.009

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this work, we propose an approach to the solution of finite volume three-body problem by considering asymptotic forms and periodicity property of wave function in configuration space. The asymptotic forms of wave function define on-shell physical transition amplitudes that are related to distinct dynamics, therefore, secular equations of finite volume problem in this approach require only physical transition amplitudes. For diffractive spherical part of wave function, it is convenient to map a three-body problem into a higher dimensional two-body problem, thus, spherical part of solutions in finite volume resembles higher spatial dimensional two-body Luscher's formula. The idea is demonstrated by an example of two light spinless particles and one heavy particle scattering in one spatial dimension. (c) 2017 The Authors. Published by Elsevier B.V.

引用

页码：441 / 445

页数：5

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