Relativistic model of 2p-2h meson exchange currents in (anti)neutrino scattering
Relativistic model of 2p-2h meson exchange currents in (anti)neutrino scattering
复制标题
(反)中微子散射中 2p-2h 介子交换电流的相对论模型
DOI:
10.1088/1361-6471/aa6a06
复制
发表时间:
2016
期刊:
影响因子:
--
通讯作者:
T. W. Donnelly
中科院分区:
文献类型:
--
作者:
I. Simó;J. E. Amaro;M. Barbaro;A. Pace;J. A. Caballero;T. W. Donnelly
We develop a model of relativistic, charged meson-exchange currents (MEC) for neutrino-nucleus interactions. The two-body current is the sum of seagull, pion-in-flight, pion-pole and $\Delta$-pole operators. These operators are obtained from the weak pion-production amplitudes for the nucleon derived in the non-linear $\sigma$-model together with weak excitation of the $\Delta(1232)$ resonance and its subsequent decay into $N\pi$. With these currents we compute the five 2p-2h response functions contributing to $(\nu_l,l^-)$ and $(\overline{\nu}_l,l^+)$ reactions in the relativistic Fermi gas model. The total current is the sum of vector and axial two-body currents. The vector current is related to the electromagnetic MEC operator that contributes to electron scattering. This allows one to check our model by comparison with the results of De Pace {\em et al.,} Nuclear Physics A 726 (2003) 303. Thus our model is a natural extension of that model to the weak sector with the addition of the axial MEC operator. The dependences of the response functions on several ingredients of the approach are analyzed. Specifically we discuss relativistic effects, quantify the size of the direct-exchange interferences, and the relative importance of the axial versus vector current.