Quantum Monte Carlo calculations of electron scattering from $^{12}\text{C}$ in the Short-Time Approximation

TL;DR

This paper introduces the Short-Time approximation within Quantum Monte Carlo methods to accurately compute electron scattering responses in carbon-12, aligning well with experimental data and extending ab initio nuclear calculations.

Contribution

The work extends Quantum Monte Carlo techniques to larger nuclei using the Short-Time approximation, enabling detailed response function calculations with realistic interactions.

Findings

Good agreement with experimental electron scattering data

Effective extension of QMC methods to $^{12}$C

Accurate response densities and functions computed

Abstract

The Short-Time approximation is a method introduced to evaluate electroweak nuclear response for systems with $A\geq12$, extending the reach of first-principle many-body Quantum Monte Carlo calculations. Using realistic two- and three-body nuclear interactions and consistent one- and two-body electromagnetic currents, we calculate longitudinal and transverse response densities and response functions of $^{12}\text{C}$. We compare the resulting cross sections with experimental data for electron-nucleus scattering, finding good agreement.