Signatures of S-wave bound-state formation in finite volume
Journal Article
·
· Physical Review. D, Particles Fields
- RIKEN BNL Research Center, Building 510A, Brookhaven National Laboratory, Upton, New York, 11973 (United States)
We discuss formation of an S-wave bound state in finite volume on the basis of Luescher's phase-shift formula. It is found that although a bound-state pole condition is fulfilled only in the infinite-volume limit, its modification by the finite-size corrections is exponentially suppressed by the spatial extent L in a finite box L{sup 3}. We also confirm that the appearance of the S-wave bound state is accompanied by an abrupt sign change of the S-wave scattering length even in finite volume through numerical simulations. This distinctive behavior may help us to distinguish the loosely bound state from the lowest energy level of the scattering state in finite-volume simulations.
- OSTI ID:
- 20868117
- Journal Information:
- Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 11 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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