Abstract
The relativistic mean field (RMF) model is used to describe nucleons in the nucleus and thereby to evaluate the effects of having dynamically off-shell spinors. Compared with free, on-shell nucleons as employed in some other models, within the RMF nucleons are described by relativistic spinors with strongly enhanced lower components. In this work it is seen that for MiniBooNE kinematics, neutrino charged-current quasielastic cross sections show some sensitivity to these off-shell effects, while for the antineutrino-nucleus case the total cross sections are seen to be essentially independent of the enhancement of the lower components. As was found to be the case when comparing the RMF results with the neutrino-nucleus data, the present impulse approximation predictions within the RMF also fall short of the MiniBooNE antineutrino-nucleus data.
Highlights
An increased interest in neutrino interactions in the few GeV energy range has emerged from the recent cross section measurements taken at different laboratories
Based on the use of the CC2 current the L contribution is rather insensitive to off-shell effects, which can be traced back to the fact that within the relativistic mean field (RMF) the matrix elements of the CC2 charge current fulfill the continuity equation already at the one-body level
The T and T contributions are the dominant components of the cross section, and they exhibit a similar effect of off-shellness: off-shell effects tend to increase both T and T contributions
Summary
An increased interest in neutrino interactions in the few GeV energy range has emerged from the recent cross section measurements taken at different laboratories. Within the RMF, the presence of strong S < 0 and V > 0 potentials in the nuclear states (mainly the final one) leads to a significant enhancement of the lower components of the four-spinors describing the relativistic nucleon wave functions according to the relationship [26,31,32]
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