English

Three-particle bound states in a finite volume: unequal masses and higher partial waves

High Energy Physics - Lattice 2018-07-18 v2

Abstract

An explicit expression for the finite-volume energy shift of shallow three-body bound states for non-identical particles is obtained in the unitary limit. The inclusion of the higher partial waves is considered. To this end, the method of arXiv:1412.4969 (Mei{\ss}ner et al.) is generalized for the case of unequal masses and arbitrary angular momenta. It is shown that in the S-wave and in the equal mass limit, the result from arXiv:1412.4969 is reproduced.

Keywords

Cite

@article{arxiv.1712.08464,
  title  = {Three-particle bound states in a finite volume: unequal masses and higher partial waves},
  author = {Yu Meng and Chuan Liu and Ulf-G. Meißner and A. Rusetsky},
  journal= {arXiv preprint arXiv:1712.08464},
  year   = {2018}
}

Comments

17 pages, 1 figure