Determination of the {pi}{Sigma} scattering lengths from the weak decays of {Lambda}{sub c}
Journal Article
·
· Physical Review. C, Nuclear Physics
- Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 152-8551 (Japan)
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.
- OSTI ID:
- 21596782
- Journal Information:
- Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 3 Vol. 84; ISSN 0556-2813; ISSN PRVCAN
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYONS
BOSONS
BOUND STATE
CUSPED GEOMETRIES
DECAY
DIMENSIONS
ELEMENTARY PARTICLES
ENERGY LEVELS
EXTRAPOLATION
FERMIONS
HADRONS
HYPERONS
INTERACTIONS
LENGTH
MAGNETIC FIELD CONFIGURATIONS
MATHEMATICAL SOLUTIONS
MESONS
NUMERICAL SOLUTION
OPEN CONFIGURATIONS
PARTICLE DECAY
PIONS
PSEUDOSCALAR MESONS
RESONANCE
SCATTERING LENGTHS
SIGMA BARYONS
SIGMA PARTICLES
SINGULARITY
SPECTRA
STRANGE PARTICLES
VIRTUAL STATES
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYONS
BOSONS
BOUND STATE
CUSPED GEOMETRIES
DECAY
DIMENSIONS
ELEMENTARY PARTICLES
ENERGY LEVELS
EXTRAPOLATION
FERMIONS
HADRONS
HYPERONS
INTERACTIONS
LENGTH
MAGNETIC FIELD CONFIGURATIONS
MATHEMATICAL SOLUTIONS
MESONS
NUMERICAL SOLUTION
OPEN CONFIGURATIONS
PARTICLE DECAY
PIONS
PSEUDOSCALAR MESONS
RESONANCE
SCATTERING LENGTHS
SIGMA BARYONS
SIGMA PARTICLES
SINGULARITY
SPECTRA
STRANGE PARTICLES
VIRTUAL STATES