Chiral symmetry amplitudes in the S-wave isoscalar and isovector channels and the {sigma}, f{sub 0}(980), a{sub 0}(980) scalar mesons

Journal Article · Fri May 29 04:00:00 EDT 1998 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.55984· OSTI ID:21199133

Oller, J A; Oset, E ^[1]

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1. Departamento de Fisica Teorica and IFIC, Centro Mixto Universidad de Valencia-CSIC, 46100 Burjassot, Valencia (Spain)

We use a nonperturbative approach which combines coupled channel Lippmann Schwinger equations with meson-meson potentials provided by the lowest order chiral Lagrangian. By means of one parameter, a cut off in the momentum of the loop integrals, which results of the order of 1 GeV, we obtain singularities in the S-wave amplitudes corresponding to the {sigma}, f{sub 0} and a{sub 0} resonances. The {pi}{pi}{yields}{pi}{pi}, {pi}{pi}{yields}KK-bar phase shifts and inelasticities in the T=0 scalar channel are well reproduced as well as the {pi}{sup 0}{eta} and KK-bar mass distributions in the T=1 channel. Furthermore, the total and partial decay widths of the f{sub 0} and a{sub 0} resonances are properly reproduced. The results seem to indicate that chiral symmetry constraints at low energy and unitarity in coupled channels is the basic information contained in the meson-meson interaction below {radical}(s){approx_equal}1.2 GeV.

• OSTI ID: 21199133
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 432; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
A0-980 MESONS
CHIRAL SYMMETRY
CHIRALITY
COUPLED CHANNEL THEORY
D S MESONS
F0-980 MESONS
GEV RANGE
LAGRANGIAN FUNCTION
LIPPMANN-SCHWINGER EQUATION
MASS DISTRIBUTION
PARTICLE DECAY
PARTICLE WIDTHS
PHASE SHIFT
PION-PION INTERACTIONS
POTENTIALS
S MATRIX
S WAVES
SINGULARITY
UNITARITY