Optimized binning for response function reconstruction via Chebyshev expansions

TL;DR

This paper introduces an optimized histogram binning method using Chebyshev expansions and stochastic regularization to accurately reconstruct nuclear response functions, enhancing ab initio calculations in nuclear physics.

Contribution

It presents a novel adaptive binning strategy combined with Chebyshev expansions for improved response function reconstruction in nuclear physics.

Findings

Excellent agreement with exact theory and experiment

Effective extension to other many-body systems

Facilitates new ab initio calculations of lepton-nucleus cross sections

Abstract

We propose an optimized histogram binning strategy to reconstruct nuclear response functions via the Chebyshev expansion bound-state method. Our approach employs a stochastic regularization of the density of states to define adaptive, equal-area bins. Using the deuteron solved in a harmonic-oscillator basis with a chiral interaction, we benchmark on dipole and longitudinal responses, obtaining excellent agreement with exact theory and experiment. This general framework readily extends to other many-body systems and opens the door to new ab initio calculations of lepton-nucleus cross sections in medium-mass nuclei.