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

2017/12/31 by Yu Meng, Chuan Liu, Ulf-G. Meißner +1
Physics and Astronomy · #hep-lat

paper · pdf · doi:10.1103/physrevd.98.014508

published as Phys. Rev. D 98, 014508 (2018) · 17 pages, 1 figure

arxiv created 2018/06/29 · arxiv updated 2018/07/18

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 (Meißner 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.

Citations