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Title: Elastic s-wave B{pi}, D{pi}, DK and K{pi} scattering from lattice calculations of scalar form factors in semileptonic decays

Abstract

We show how theoretical, principally lattice calculations of the scalar form factors in semileptonic pseudoscalar-to-pseudoscalar decays can be used to extract information about the corresponding elastic s-wave scattering channels. We find values for the scattering lengths m{sub {pi}}a=0.179(17)(14), 0.26(26) and 0.29(4) for elastic s-wave isospin-1/2 K{pi}, B{pi} and D{pi} channels, respectively. We also determine phase shifts. For the DK channel we find hints that there is a bound state which can be identified with the recently discovered D{sub s0}{sup +}(2317)

Authors:
 [1];  [2]
  1. School of Physics and Astronomy, University of Southampton, Highfield, Southampton SO17 1BJ (United Kingdom)
  2. Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Granada, E-18071 Granada (Spain)
Publication Date:
OSTI Identifier:
21020284
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.75.074024; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; B MESONS; BOUND STATE; D MESONS; D S MESONS; ELASTIC SCATTERING; FORM FACTORS; ISOSPIN; KAONS; LATTICE FIELD THEORY; PHASE SHIFT; PIONS; S WAVES; SCALARS; SCATTERING LENGTHS; SEMILEPTONIC DECAY

Citation Formats

Flynn, Jonathan M., and Nieves, Juan. Elastic s-wave B{pi}, D{pi}, DK and K{pi} scattering from lattice calculations of scalar form factors in semileptonic decays. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.074024.
Flynn, Jonathan M., & Nieves, Juan. Elastic s-wave B{pi}, D{pi}, DK and K{pi} scattering from lattice calculations of scalar form factors in semileptonic decays. United States. doi:10.1103/PHYSREVD.75.074024.
Flynn, Jonathan M., and Nieves, Juan. Sun . "Elastic s-wave B{pi}, D{pi}, DK and K{pi} scattering from lattice calculations of scalar form factors in semileptonic decays". United States. doi:10.1103/PHYSREVD.75.074024.
@article{osti_21020284,
title = {Elastic s-wave B{pi}, D{pi}, DK and K{pi} scattering from lattice calculations of scalar form factors in semileptonic decays},
author = {Flynn, Jonathan M. and Nieves, Juan},
abstractNote = {We show how theoretical, principally lattice calculations of the scalar form factors in semileptonic pseudoscalar-to-pseudoscalar decays can be used to extract information about the corresponding elastic s-wave scattering channels. We find values for the scattering lengths m{sub {pi}}a=0.179(17)(14), 0.26(26) and 0.29(4) for elastic s-wave isospin-1/2 K{pi}, B{pi} and D{pi} channels, respectively. We also determine phase shifts. For the DK channel we find hints that there is a bound state which can be identified with the recently discovered D{sub s0}{sup +}(2317)},
doi = {10.1103/PHYSREVD.75.074024},
journal = {Physical Review. D, Particles Fields},
number = 7,
volume = 75,
place = {United States},
year = {Sun Apr 01 00:00:00 EDT 2007},
month = {Sun Apr 01 00:00:00 EDT 2007}
}
  • We discuss the possible corrections of some recent calculations on the form factors which parametrize the matrix element of the decays {ital B}({ital D}){r_arrow}{pi}{ital l}{nu}. These calculations are based on the assumption that the {ital B}{sup {asterisk}}({ital D}{sup {asterisk}}) pole contribution is fully dominant near zero recoil. By using the Bethe-Salpeter approach, we calculate some low-lying state pole terms predicted by the quark model. The numerical results are obtained to the next-leading order of the 1/{ital M} expansion. {copyright} {ital 1996 The American Physical Society.}
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