Off-shell Behavior of the $π\!-\!η$ Mixing Amplitude
| dc.creator | Piekarewicz, J. | |
| dc.date | 1993-03-08 | |
| dc.date.accessioned | 2026-07-07T11:14:57Z | |
| dc.date.available | 2026-07-07T11:14:57Z | |
| dc.description | We extend a recent calculation of the momentum dependence of the $ρ-ω$ mixing amplitude to the pseudoscalar sector. The $π\!-\!η$ 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 $π\!-\!η$ amplitude is, however, practically identical to the one recently predicted for $ρ-ω$ 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 data and SU(3)-flavor symmetry, we reproduce the momentum dependence of the $π\!-\!η$ mixing amplitude predicted from chiral perturbation theory. Alternatively, one can use chiral-perturbation-theory results to set stringent limits on the value of the $NNη$ coupling constant. | |
| dc.description | 13 pages, Latex with Revtex, 3 postscript figures (not included) available on request, SCRI-030893 | |
| dc.identifier | https://arxiv.org/abs/nucl-th/9303005 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/9303005 | |
| dc.identifier | Phys.Rev.C48:1555-1561,1993 | |
| dc.identifier | doi:10.1103/PhysRevC.48.1555 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/192249 | |
| dc.subject | Nuclear Theory | |
| dc.title | Off-shell Behavior of the $π\!-\!η$ Mixing Amplitude | |
| dc.type | text |