DOE OSTI ยท 3027586
Relativistic corrections for lepton-nucleus scattering in the short-time approximation
Abstract
Here, 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 ๐/๐, where ๐ is the momentum transfer and ๐ is the nucleon mass, restricting their validity to low-๐ 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-๐ 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.
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Andreoli, Lorenzo [Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)] (ORCID:0000000214204421), Weiss, Ronen [Washington Univ., St. Louis, MO (United States)] (ORCID:0000000263729742), Chambers-Wall, Graham [Washington Univ., St. Louis, MO (United States)] (ORCID:0000000294038450), Gnech, Alex [Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)] (ORCID:0000000220773866), Pastore, Saori [Washington Univ., St. Louis, MO (United States)], Piarulli, Maria [Washington Univ., St. Louis, MO (United States)] (ORCID:0000000180422999), Gandolfi, Stefano [Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:0000000204309035). 2026-04-02. Relativistic corrections for lepton-nucleus scattering in the short-time approximation. https://doi.org/10.1103/159d-7mkh
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