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arXiv · 2507.00587

Optimized binning for response function reconstruction via Chebyshev expansions

Immo C. Reis·Joanna E. Sobczyk·Sonia Bacca
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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.

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Immo C. Reis, Joanna E. Sobczyk, Sonia Bacca. 2025-07-01. Optimized binning for response function reconstruction via Chebyshev expansions. https://doi.org/10.1103/lb85-2487

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