Chiral Lagrangian treatment of {pi}{eta} scattering

Journal Article · Sat Apr 01 04:00:00 EST 2000 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.61.074030· OSTI ID:20215974

Black, Deirdre ^[1]; Fariborz, Amir H ^[1]; Schechter, Joseph ^[1]

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1. Department of Physics, Syracuse University, Syracuse, New York 13244-1130 (United States)

We study {pi}{eta} scattering in a model which starts from the tree diagrams of a non-linear chiral Lagrangian including appropriate resonances. Previously, models of this type were applied to {pi}{pi} and {pi}K scattering and were seen to require the existence of light scalar {sigma}(560) and {kappa}(900) mesons and to be consistent with the f{sub 0}(980). The present calculation extends this to include the a{sub 0}(980), thereby completing a possible nonet of light scalars, all ''seen'' in the same manner. We note that, at the initial level, the {pi}{eta} channel is considerably cleaner than the {pi}{pi} and {pi}K channels for the study of light scalars. This is because the large competing effects of vector meson exchange and ''current-algebra'' contact terms are absent. The simplicity of this channel enables us to demonstrate the closeness of our exactly crossing symmetric amplitude to a related exactly unitary amplitude. The calculation is also extended to higher energies in order to let us discuss the role played by the a{sub 0}(1450) resonance. (c) 2000 The American Physical Society.

• OSTI ID: 20215974
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 61; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
ETA MESONS
LAGRANGIAN FIELD THEORY
MESON-MESON INTERACTIONS
PIONS
QUARK MODEL
THEORETICAL DATA