Optimized binning for response function reconstruction via Chebyshev expansions
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917000640462848 |
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| author | Reis, Immo C. Sobczyk, Joanna E. Bacca, Sonia |
| author_facet | Reis, Immo C. Sobczyk, Joanna E. Bacca, Sonia |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00587 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimized binning for response function reconstruction via Chebyshev expansions Reis, Immo C. Sobczyk, Joanna E. Bacca, Sonia Nuclear Theory 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. |
| title | Optimized binning for response function reconstruction via Chebyshev expansions |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2507.00587 |