An solvable three-body model in finite volume
High Energy Physics - Lattice
2017-11-22 v2 High Energy Physics - Phenomenology
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.
Cite
@article{arxiv.1701.00438,
title = {An solvable three-body model in finite volume},
author = {Peng Guo and Vladimir Gasparian},
journal= {arXiv preprint arXiv:1701.00438},
year = {2017}
}
Comments
To appear in P.L.B