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Title: Inelastic final-state interaction

Abstract

The final-state interaction in multichannel decay processes is systematically studied in the hadronic picture with application to B decay in mind. Since the final-state interaction is intrinsically interwoven with the decay interaction in this case, no simple phase theorem like ''Watson's theorem'' holds for experimentally observed final states. We first solve exactly the two-channel problem as a toy model in order to clarify the issues. The constraints of the two-channel approximation turns out to be too stringent for most B decay modes, but realistic multichannel problems are too complex for useful quantitative analysis at present. To alleviate the stringent constraints of the two-body problem and to cope with complexity beyond it, we introduce a method of approximation that is applicable to the case where one prominent inelastic channel dominates over all others. We illustrate this approximation method with the amplitude of the decay B{yields}K{pi} fed by the intermediate states of a charmed-meson pair. Even with our approximation we need more accurate information of strong interactions than we have now. Nonetheless we are able to obtain some insight in the issue and draw useful conclusions on general features on the strong phases.

Authors:
 [1]
  1. Department of Physics and Lawrence Berkeley National Laboratory, University of California, Berkeley, California 94720 (United States)
Publication Date:
OSTI Identifier:
21249718
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 77; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevD.77.054021; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; APPROXIMATIONS; B MESONS; CHARMED MESONS; COOPER PAIRS; FINAL-STATE INTERACTIONS; INELASTIC SCATTERING; INTERMEDIATE STATE; KAONS; PARTICLE DECAY; PIONS; SIMULATION; STRONG INTERACTIONS; TWO-BODY PROBLEM

Citation Formats

Suzuki, Mahiko. Inelastic final-state interaction. United States: N. p., 2008. Web. doi:10.1103/PHYSREVD.77.054021.
Suzuki, Mahiko. Inelastic final-state interaction. United States. https://doi.org/10.1103/PHYSREVD.77.054021
Suzuki, Mahiko. 2008. "Inelastic final-state interaction". United States. https://doi.org/10.1103/PHYSREVD.77.054021.
@article{osti_21249718,
title = {Inelastic final-state interaction},
author = {Suzuki, Mahiko},
abstractNote = {The final-state interaction in multichannel decay processes is systematically studied in the hadronic picture with application to B decay in mind. Since the final-state interaction is intrinsically interwoven with the decay interaction in this case, no simple phase theorem like ''Watson's theorem'' holds for experimentally observed final states. We first solve exactly the two-channel problem as a toy model in order to clarify the issues. The constraints of the two-channel approximation turns out to be too stringent for most B decay modes, but realistic multichannel problems are too complex for useful quantitative analysis at present. To alleviate the stringent constraints of the two-body problem and to cope with complexity beyond it, we introduce a method of approximation that is applicable to the case where one prominent inelastic channel dominates over all others. We illustrate this approximation method with the amplitude of the decay B{yields}K{pi} fed by the intermediate states of a charmed-meson pair. Even with our approximation we need more accurate information of strong interactions than we have now. Nonetheless we are able to obtain some insight in the issue and draw useful conclusions on general features on the strong phases.},
doi = {10.1103/PHYSREVD.77.054021},
url = {https://www.osti.gov/biblio/21249718}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 5,
volume = 77,
place = {United States},
year = {Sat Mar 01 00:00:00 EST 2008},
month = {Sat Mar 01 00:00:00 EST 2008}
}