Relativistic corrections for lepton-nucleus scattering in the short-time approximation
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918169945309184 |
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| author | Andreoli, Lorenzo Weiss, Ronen Chambers-Wall, Graham Gnech, Alex Pastore, Saori Piarulli, Maria Gandolfi, Stefano |
| author_facet | Andreoli, Lorenzo Weiss, Ronen Chambers-Wall, Graham Gnech, Alex Pastore, Saori Piarulli, Maria Gandolfi, Stefano |
| contents | We present an approach for including relativistic corrections in lepton-nucleus scattering calculations within the Short-Time Approximation (STA). Previous ab-initio studies employed electromagnetic currents expanded in powers of $q/m$, where $q$ is the momentum transfer and $m$ is the nucleon mass, restricting their validity to low-$q$ kinematics. We adopt an expansion scheme that treats the initial nucleon momentum perturbatively while allowing for arbitrary momentum transfer, thereby extending the applicability of the STA to high-$q$ regimes. Additionally, we incorporate a relativistic treatment of the two-nucleon final-state energies. Calculations for $^3$He and $^4$He inclusive electron scattering cross sections show a substantial improvement over previous results, achieving good agreement with experimental data in the quasi-elastic region for both low- and high-momentum transfer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_21576 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relativistic corrections for lepton-nucleus scattering in the short-time approximation Andreoli, Lorenzo Weiss, Ronen Chambers-Wall, Graham Gnech, Alex Pastore, Saori Piarulli, Maria Gandolfi, Stefano Nuclear Theory We present an approach for including relativistic corrections in lepton-nucleus scattering calculations within the Short-Time Approximation (STA). Previous ab-initio studies employed electromagnetic currents expanded in powers of $q/m$, where $q$ is the momentum transfer and $m$ is the nucleon mass, restricting their validity to low-$q$ kinematics. We adopt an expansion scheme that treats the initial nucleon momentum perturbatively while allowing for arbitrary momentum transfer, thereby extending the applicability of the STA to high-$q$ regimes. Additionally, we incorporate a relativistic treatment of the two-nucleon final-state energies. Calculations for $^3$He and $^4$He inclusive electron scattering cross sections show a substantial improvement over previous results, achieving good agreement with experimental data in the quasi-elastic region for both low- and high-momentum transfer. |
| title | Relativistic corrections for lepton-nucleus scattering in the short-time approximation |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2510.21576 |