Two bosons in a narrowly resonant trap
Abstract
It is rare for an -wave resonance to remain narrow while approaching threshold as a result of the interaction parameters being fine tuned. Such an interaction is, however, realized by pion-charmed baryon system , which has a narrow resonance located a few MeVs above its threshold. We study the consequence of narrowly resonant inter-species interaction in a three-body system composed of two identical light bosons and an extremely heavy particle. We concern ourselves in the present paper with resonances of the three-body system, as opposed to bound states. The focus is on the technical aspects of constructing the integral equation for three-body amplitudes and of analytically continuing the integral equation to locate the "trimer" resonance pole in the unphysical sheet of the center-of-mass energy plane.
Cite
@article{arxiv.1704.08935,
title = {Two bosons in a narrowly resonant trap},
author = {Bingwei Long and Jianfeng Wang and Songlin Lyu},
journal= {arXiv preprint arXiv:1704.08935},
year = {2017}
}
Comments
15 pages, 9 figures