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Relativistic effects in Green's function Monte Carlo calculations of neutrino-nucleus scattering

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arxiv 2304.11772 v1 pith:NOMVEN7R submitted 2023-04-23 nucl-th hep-th

classification nucl-thhep-th
keywords calculationsneutrino-nucleusscatteringcarlofunctiongreenmicroscopicmomenta
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Microscopic calculations of neutrino-nucleus scattering cross sections are critical for the success of the neutrino-oscillation program. In addition to retaining nuclear correlations in the initial and final state of the reaction, they are based on consistent nuclear interactions and transition current operators, thereby enabling robust uncertainty quantification. In this work, we address a significant limitation of these microscopic methods, which arises from their nonrelativistic nature. By performing the calculations in a reference frame that minimizes nucleon momenta and utilizing the so-called ``two-fragment'' model, we extend the applicability of Green's function Monte Carlo calculations of neutrino-nucleus scattering to higher momenta than currently possible. To validate this approach, we compare our theoretical predictions against inclusive data measured by the MiniBooNE, T2K, and MINER$\nu$A experiments.

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    A new variational Monte Carlo framework using neural-network wave functions and the Lorentz integral transform accurately reproduces deuteron and helium-4 photon absorption cross sections.

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