Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2009-10-18
Phys.Rev.C81:035208,2010
Physics
Nuclear Physics
Nuclear Theory
35 pages, 9 figures, accepted by Phys.Rev. C
Scientific paper
10.1103/PhysRevC.81.035208
The details of the calculation of the two-boson exchange effects in the parity-violating elastic $ep$ scattering within a simple hadronic model, including both the nucleon and $\Delta(1232)$-resonance intermediate states, are presented. We examine the sensitivity of our results with respect to choice of form factors. We emphasize the importance to use correct relations relating N to $\Delta$ and $\Delta$ to N transition vertex functions. The $N\Delta$ Coulomb quadrupole transition is found to play important role at higher $Q^2\geq 3.0$ GeV$^2$. We also elucidate the relation between our results and the well-known result on the $\gamma ZE$ effect given by Marciano and Sirlin (MS). The effect of the nucleon contribution $\delta_N$ to parity-asymmetry $A_{PV}$, is found to be in general, larger than the corresponding $\Delta$ contribution $\delta_\Delta$ except at extreme forward angles. The corrections to the extracted values of the strange form factors $G^{s}_{E}+\beta G^{s}_{M}$ from the HAPPEX, A4, and G0 data are also presented. The total TBE corrections to the extracted values of $G^{s}_{E}+\beta G^{s}_{M}$ in recent experiments of HAPPEX G0, and A4 are, depending on kinematics, found to be small except in a few cases where they range from -20.6% to $48.3 %$.
Kao Chung Wen
Nagata Keitaro
Yang Shin Nan
Zhou Hai Qing
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