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Structure of near-threshold s-wave resonances
1Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan.
Physical Review Letters
|October 15, 2013
Summary
This study explores two-body s-wave states and resonances near threshold. Findings suggest the Λc(2595) hadron resonance is unlikely a πΣc molecule due to its large effective range.
Area of Science:
- Nuclear Physics
- Particle Physics
- Quantum Mechanics
Background:
- Understanding two-body s-wave bound states and resonances is crucial in nuclear and particle physics.
- The effective range expansion provides a framework for analyzing scattering data near the energy threshold.
Purpose of the Study:
- To investigate the structure of two-body s-wave bound states and resonances.
- To analyze the properties of resonances within the effective range expansion framework.
- To determine if the Λc(2595) resonance can be described as a πΣc molecule.
Main Methods:
- Analysis of single-channel scattering with real scattering length and effective range.
- Application of the effective range expansion to constrain resonance properties.
- Calculation of compositeness via analytic continuation of the field renormalization constant.
Main Results:
- Resonance properties are constrained solely by pole position within the effective range expansion.
- Compositeness for resonances is found to be purely imaginary and normalized.
- The Λc(2595) resonance exhibits an unusually large effective range.
Conclusions:
- The large effective range of Λc(2595) suggests it is unlikely to be a simple πΣc molecular state.
- The study provides insights into the nature of hadron resonances and their structures.
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