Determination of the pi Sigma scattering lengths from the weak decays of Lambda_c

Details Determination of the pi Sigma scattering lengths from the weak decays of Lambda_c Determination of the pi Sigma scattering lengths from the weak decays of Lambda_c

2011-05-27

arxiv.org/abs/1105.5494v2

Phys.Rev.C84:035201,2011

Physics

Nuclear Physics

Nuclear Theory

13 pages, 13 figures, 3 tables, published version

Scientific paper

10.1103/PhysRevC.84.035201

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.

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