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arXiv · 1704.08935

Two bosons in a narrowly resonant trap

Bingwei Long·Jianfeng Wang·Songlin Lyu
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Abstract

It is rare for an $S$-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 $\pi \Sigma_c$, which has a narrow resonance $\Lambda_c^+(2595)$ 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.

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Bingwei Long, Jianfeng Wang, Songlin Lyu. 2017-04-28. Two bosons in a narrowly resonant trap. https://arxiv.org/abs/1704.08935

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