Determination of the pi Sigma scattering lengths from the weak decays of Lambda_c
Nuclear Theory
2011-09-06 v2 High Energy Physics - Phenomenology
Abstract
The scattering lengths of the pi Sigma systems are key quantities in understanding the structure of the Lambda(1405) resonance and the subthreshold extrapolation of the barK N interaction. We demonstrate that the pi Sigma scattering lengths can be extracted from the threshold cusp phenomena in the weak Lambda_c -> pi pi Sigma decays, analogously with Cabibbo's method for determination of the pi pi scattering length. We show that the substantial cusp effect should be observed in the spectrum, when the pi Sigma interaction in I=0 is strongly attractive to generate a near-threshold singularity, such as a bound state or a virtual state.
Keywords
Cite
@article{arxiv.1105.5494,
title = {Determination of the pi Sigma scattering lengths from the weak decays of Lambda_c},
author = {Tetsuo Hyodo and Makoto Oka},
journal= {arXiv preprint arXiv:1105.5494},
year = {2011}
}
Comments
13 pages, 13 figures, 3 tables, published version