Exploring Semi-Inclusive Two-Nucleon Emission in Neutrino Scattering: A Factorized Approximation Approach Martínez Consentino, Víctor Leopoldo Amaro Soriano, José Enrique Neutrino scattering Semi-inclusive nuclear reactions meson-exchange currents Relativistic mean field Work supported by: Grant PID2020-114767GB-I00 funded by MCIN/AEI /10.13039 /501100011033; Junta de Andalucia (Grant No. FQM-225). The semi-inclusive cross-section of two-nucleon emission induced by neutrinos and antineutrinos is computed by employing the relativistic mean field model of nuclear matter and the dynamics of meson-exchange currents. Within this model, we explore a factorization approximation based on the product of an integrated two-hole spectral function and a two-nucleon cross-section averaged over hole pairs. We demonstrate that the integrated spectral function of the uncorrelated Fermi gas can be analytically computed, and we derive a simple, fully relativistic formula for this function, showcasing its dependency solely on both missing momentum and missing energy. A prescription for the average momenta of the two holes in the factorized two-nucleon cross-section is provided, assuming that these momenta are perpendicular to the missing momentum in the center-of-mass system. The validity of the factorized approach is assessed by comparing it with the unfactorized calculation. Our investigation includes the study of the semi-inclusive cross-section integrated over the energy of one of the emitted nucleons and the cross-section integrated over the emission angles of the two nucleons and the outgoing muon kinematics. A comparison is made with the pure phase-space model and other models from the literature. The results of this analysis offer valuable insights into the influence of the semi-inclusive hadronic tensor on the cross-section, providing a deeper understanding of the underlying nuclear processes. 2024-02-20T10:12:18Z 2024-02-20T10:12:18Z 2024-02-17 journal article Martinez-Consentino, V.L.; Amaro, J.E. Exploring Semi-Inclusive Two-Nucleon Emission In Neutrino Scattering: A Factorized Approximation Approach. Symmetry 2024, 16, 247. https://doi.org/10.3390/sym16020247 https://hdl.handle.net/10481/89354 10.3390/sym16020247 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ open access Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License MDPI