A solvable three-body model in finite volume

DOI10.1016/J.PHYSLETB.2017.10.009zbMATH Open1403.81082arXiv1701.00438OpenAlexW2568459258MaRDI QIDQ1631879

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Publication date: 7 December 2018

Published in: (Search for Journal in Brave)

Abstract: In this work, based on consideration of periodicity and asymptotic forms of wave function, we propose a novel approach to the solution of finite volume three-body problem by mapping a three-body problem into a higher dimensional two-body problem. The idea is demonstrated by an example of two light spinless particles and one heavy particle scattering in one spatial dimension. This 1D three-body problem resembles a two-body problem in two spatial dimensions mathematically, and quantization condition of 1D three-body problem is thus derived accordingly.

Full work available at URL: https://arxiv.org/abs/1701.00438

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