Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1993-01-04
Phys.Rev.C47:2462-2466,1993
Physics
Nuclear Physics
Nuclear Theory
11 pages, SCRI-122192
Scientific paper
10.1103/PhysRevC.47.R2462
We calculate the momentum dependence of the $\rho-\omega$ mixing amplitude in a purely hadronic model. The basic assumption of the model is that the mixing amplitude is generated by $N{\bar{N}}$ loops and thus driven entirely by the neutron-proton mass difference. The value of the amplitude at the $\omega$-meson point is expressed in terms of only the $NN\omega$ and the $NN\rho$ coupling constants. Using values for these couplings constrained by empirical two-nucleon data we obtain a value for the mixing amplitude in agreement with experiment. Extending these results to the spacelike region, we find a $\rho-\omega$ contribution to the NN interaction that is strongly suppressed and opposite in sign relative to the conventional contribution obtained from using the constant on-shell value for the mixing amplitude.
Piekarewicz Jorge
Williams Anthony G.
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