Towards a more complete description of nucleon distortion in lepton-induced single-pion production at low-Q^2
arXiv (Cornell University)(2023)
摘要
Theoretical predictions for lepton-induced single-pion production (SPP) on
^12C are revisited in order to assess the effect of different treatments of
the current operator. On one hand we have the asymptotic approximation, which
consists in replacing the particle four-vectors that enter in the operator by
their asymptotic values, i.e., their values out of the nucleus. On the other
hand we have the full calculation, which is a more accurate approach to the
problem. We also compare with results in which the final nucleon is described
by a relativistic plane wave, to rate the effect of the nucleon distortion. The
study is performed for several lepton kinematics, reproducing inclusive and
semi-inclusive cross sections belonging to the low-Q^2 region (between 0.05
and 1 GeV^2), which is of special interest in charged-current (CC)
neutrino-nucleus 1π production. Inclusive electron results are compared
with experimental data. We find non-trivial corrections comparable in size with
the effect of the nucleon distortion, namely, corrections up to 6%, either
increasing or diminishing the asymptotic prediction, and a shift of the
distributions towards higher energy transfer. For the semi-inclusive cross
sections, we observe the correction to be prominent mainly at low values of the
outgoing nucleon kinetic energy. Finally, for CC neutrino-induced 1π^+
production, we find a reduction at low-Q^2 with respect to both the
plane-wave approach and the asymptotic case.
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关键词
nucleon distortion,lepton-induced,single-pion
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