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Title: Determination of the {pi}{Sigma} scattering lengths from the weak decays of {Lambda}{sub c}

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 KN interaction. We demonstrate that the {pi}{Sigma} scattering lengths can be extracted from the threshold cusp phenomena in the weak {Lambda}{sub c}{yields}{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.

Authors:
;  [1]
  1. Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 152-8551 (Japan)
Publication Date:
OSTI Identifier:
21596782
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 84; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.84.035201; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOUND STATE; CUSPED GEOMETRIES; EXTRAPOLATION; INTERACTIONS; PARTICLE DECAY; PIONS; RESONANCE; SCATTERING LENGTHS; SIGMA PARTICLES; SINGULARITY; SPECTRA; VIRTUAL STATES; BARYONS; BOSONS; DECAY; DIMENSIONS; ELEMENTARY PARTICLES; ENERGY LEVELS; FERMIONS; HADRONS; HYPERONS; LENGTH; MAGNETIC FIELD CONFIGURATIONS; MATHEMATICAL SOLUTIONS; MESONS; NUMERICAL SOLUTION; OPEN CONFIGURATIONS; PSEUDOSCALAR MESONS; SIGMA BARYONS; STRANGE PARTICLES

Citation Formats

Hyodo, Tetsuo, and Oka, Makoto. Determination of the {pi}{Sigma} scattering lengths from the weak decays of {Lambda}{sub c}. United States: N. p., 2011. Web. doi:10.1103/PHYSREVC.84.035201.
Hyodo, Tetsuo, & Oka, Makoto. Determination of the {pi}{Sigma} scattering lengths from the weak decays of {Lambda}{sub c}. United States. doi:10.1103/PHYSREVC.84.035201.
Hyodo, Tetsuo, and Oka, Makoto. Thu . "Determination of the {pi}{Sigma} scattering lengths from the weak decays of {Lambda}{sub c}". United States. doi:10.1103/PHYSREVC.84.035201.
@article{osti_21596782,
title = {Determination of the {pi}{Sigma} scattering lengths from the weak decays of {Lambda}{sub c}},
author = {Hyodo, Tetsuo and Oka, Makoto},
abstractNote = {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 KN interaction. We demonstrate that the {pi}{Sigma} scattering lengths can be extracted from the threshold cusp phenomena in the weak {Lambda}{sub c}{yields}{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.},
doi = {10.1103/PHYSREVC.84.035201},
journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 3,
volume = 84,
place = {United States},
year = {2011},
month = {9}
}