Lepton scattering fromAr40andTi48in the quasielastic peak region

Abstract

Neutron and proton spectral functions of 40 Ar, 40 Ca, and 48 Ti isotopes are computed using the ab initio self-consistent Green's function approach. The resulting radii and charge distributions are in good agreement with available experimental data. The spectral functions of Ar and Ti are then utilized to calculate inclusive (e,e') cross sections within a factorization scheme and are found to correctly reproduce the recent Jefferson Lab measurements. Based on these successful agreements, the weak charged and neutral current double-differential cross sections for neutrino-40 Ar scattering are predicted in the quasielastic region. Results obtained by replacing the (experimentally inaccessible) neutron spectral distribution of 40 Ar with the (experimentally accessible) proton distribution of 48 Ti are compared and the accuracy of this approximation is assessed.

Coherent elastic neutrino-nucleus scattering on Ar40 from first principles

“…Within uncertainties, our charge radius is also consistent with the recent ab initio computations of Ref. [18].…”

“…In the past decade we have seen an impressive progress in the theoretical and computational tools that underpin our understanding of the nucleus as a compound object of interacting protons and neutrons. A number of ab initio calculations of nuclear electroweak properties that start from interactions and currents obtained from chiral effective field theory have successfully described key observables, see, e.g., [14][15][16][17][18]. The level of accuracy and confidence reached by ab initio calculations in light-and medium-mass nuclei, along with the ability to access increasing mass numbers, allows us to address open questions in neutrino physics.…”

Self-Consistent Green's Function Theory for Atomic Nuclei

“…It is characterized by a simultaneous fit of 2N and 3N LECs that does not rely solely on two-nucleon and A = 3, 4 data, but also on binding energies of 14 C and 16,22,24,25 O as well as charge radii of 14 C and 16 O. The resulting interaction, named NNLO sat , successfully describes the saturation of infinite nuclear matter [98] as well as various observables in mid-mass nuclei, including charge radii [42][43][44]53]. Unlike the NN+3N(400) interaction, NNLO sat employs a non-local regulator.…”

“…Following the above formalism, electron and neutrino scattering off argon and titanium isotopes was investigated in [44]. The interest in studying lepton scattering off these nuclei resides in the fact that future-generation neutrino experiments (e.g., DUNE [133]) will use liquid-argon timeprojection chambers, which rely on scattering of neutrinos off 40 Ar.…”

“…In [43], ab initio optical potentials were computed and applied in elastic scattering off 16 O and 40 Ca. Barbieri et al [44] instead discussed lepton-nucleus scattering, with particular attention to neutrino scattering off 40 Ar. Dedicated applications studied effective charges (typically employed in shell-model calculations) [45] and the scale dependence of effective single-particle energies and other non-observable quantities [46].…”