Abstract
It was recently proposed that the binding energy, the difference between the threshold and the mass, can be precisely determined by measuring the line shape from a short-distance source produced at high-energy experiments. Here, we investigate the feasibility of such a proposal by estimating the cross sections for the and processes considering the triangle loops. These loops can produce a triangle singularity slightly above the threshold. It is found that the peak structures originating from the threshold cusp and the triangle singularity are not altered much by the energy dependence introduced by the and production parts or by considering a finite width for the . We find that is with the invariant mass integrated from 4.01 to 4.02 GeV and the c.m. energy of the pair fixed at 4.23 GeV. The cross section is estimated to be of . Our results suggest that a precise measurement of the binding energy can be done at PANDA.
4 More- Received 1 September 2020
- Accepted 9 December 2020
DOI:https://doi.org/10.1103/PhysRevD.102.114041
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society