Application of the weak-binding relation with range correction

Abstract

The weak-binding relation is a useful tool to study the internal structure of hadrons from the observable quantities. We introduce the range correction in the weak-binding relation for the system having a sizable magnitude of the effective range, and show that the applicability of the weak-binding relation can be enlarged by the range correction. Thanks to the low-energy universality, the weak-binding relation can be used to study the structure of shallow bound states in any systems with different length scales. We apply the weak-binding relation to actual systems, including hadrons, hypernuclei, and atoms and show the importance of the range correction.

arXiv comment4 pages, Proceedings of the 19th International Conference on Hadron Spectroscopy and Structure (HADRON2021), 26th to 31st of July 2021