Towards a more complete description of nucleon distortion in lepton-induced single-pion production at low-$Q^2$
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866911775992053760 |
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| author | García-Marcos, J. Franco-Munoz, T. González-Jiménez, R. Nikolakopoulos, A. Jachowicz, N. Udías, J. M. |
| author_facet | García-Marcos, J. Franco-Munoz, T. González-Jiménez, R. Nikolakopoulos, A. Jachowicz, N. Udías, J. M. |
| contents | Theoretical predictions for lepton-induced single-pion production (SPP) on $^{12}$C 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 1$π$ 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 1$π^+$ production, we find a reduction at low-$Q^2$ with respect to both the plane-wave approach and the asymptotic case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_18056 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Towards a more complete description of nucleon distortion in lepton-induced single-pion production at low-$Q^2$ García-Marcos, J. Franco-Munoz, T. González-Jiménez, R. Nikolakopoulos, A. Jachowicz, N. Udías, J. M. Nuclear Theory High Energy Physics - Phenomenology Theoretical predictions for lepton-induced single-pion production (SPP) on $^{12}$C 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 1$π$ 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 1$π^+$ production, we find a reduction at low-$Q^2$ with respect to both the plane-wave approach and the asymptotic case. |
| title | Towards a more complete description of nucleon distortion in lepton-induced single-pion production at low-$Q^2$ |
| topic | Nuclear Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2310.18056 |