Off-shell behavior of the [pi]-[eta] mixing amplitude

Journal Article · Fri Oct 01 00:00:00 EDT 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.48.1555· OSTI ID:6075046

Piekarewicz, J ^[1]

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1. Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306 (United States)

We extend a recent calculation of the momentum dependence of the [rho]-[omega] mixing amplitude to the pseudoscalar sector. The [pi]-[eta] mixing amplitude is calculated in a hadronic model where the mixing is driven by the neutron-proton mass difference. Closed-form analytic expressions are presented in terms of a few nucleon-meson parameters. The observed momentum dependence of the mixing amplitude is strong enough as to question earlier calculations of charge-symmetry-breaking observables based on the on-shell assumption. The momentum dependence of the [pi]-[eta] amplitude is, however, practically identical to the one recently predicted for [rho]-[omega] mixing. Hence, in this model, the ratio of pseudoscalar-to-vector mixing amplitudes is, to a good approximation, a constant solely determined from nucleon-meson coupling constants. Furthermore, by selecting these parameters in accordance with charge-symmetry-conserving (CSC) data and SU(3)-flavor symmetry, we reproduce the momentum dependence of the [pi]-[eta] mixing amplitude predicted from chiral perturbation theory. Alternatively, one can use chiral-perturbation-theory results to set stringent limits on the value of the [ital NN][eta] coupling constant.

• DOE Contract Number: FC05-85ER25000; FG05-92ER40750
• OSTI ID: 6075046
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 48:4; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
BARYON-BARYON INTERACTIONS
BOSONS
CHARGES
CHIRAL SYMMETRY
COUPLING CONSTANTS
ELEMENTARY PARTICLES
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
LIE GROUPS
MASS DIFFERENCE
MESONS
MIXING
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PERTURBATION THEORY
PSEUDOSCALAR MESONS
SU GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY GROUPS
VECTOR MESONS