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Microscopic calculation of two-particle-two-hole meson-exchange currents in Ar40 and asymmetric scaling properties for neutrino and electron scattering

V. L. Martinez-Consentino1,2,*, J. Segovia2,†, and J. E. Amaro3,4,‡

  • *Contact author: victormc@ugr.es
  • †Contact author: jsegovia@upo.es
  • ‡Contact author: amaro@ugr.es

Phys. Rev. D 112, 113011 – Published 31 December, 2025

DOI: https://doi.org/10.1103/sp1t-j8yy

Abstract

We present a microscopic calculation of two-particle–two-hole meson-exchange current response functions in asymmetric nuclei, with particular emphasis on the Ar40 nucleus. Employing a relativistic mean-field and relativistic Fermi gas framework, we compute the nuclear response for Ar40 and compare it with that of the symmetric Ca40 nucleus, analyzing the role of proton-neutron imbalance. The model incorporates distinct proton and neutron Fermi momenta to accurately capture the nuclear dynamics of systems with Z≠N. Our results indicate that using Ca40 as a proxy for Ar40 leads to a systematic error of approximately 10%. Additionally, we propose an asymmetric scaling formula to obtain the two-particle–two-hole response for arbitrary nuclei from the C12 response, improving the description of asymmetric nuclei. Finally, we benchmark our predictions against inclusive electron scattering and neutrino cross sections.

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