@misc{10481/89354,
year = {2024},
month = {2},
url = {https://hdl.handle.net/10481/89354},
abstract = {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.},
organization = {MCIN/AEI /10.13039/501100011033    PID2020-114767GB-I00},
organization = {Junta de Andalucía FQM-225},
publisher = {MDPI},
keywords = {Neutrino scattering},
keywords = {Semi-inclusive nuclear reactions meson-exchange currents},
keywords = {Relativistic mean field},
title = {Exploring Semi-Inclusive Two-Nucleon Emission in Neutrino Scattering: A Factorized Approximation Approach},
doi = {10.3390/sym16020247},
author = {Martínez Consentino, Víctor Leopoldo and Amaro Soriano, José Enrique},
}