{
  "abstract": "The Lorentz integral transform (LIT) method is a powerful tool for calculating quantum response functions; however, it requires an ill-posed inversion. Here we show that solutions of the LIT equation can also determine two additional integral transforms: a complex Stieltjes transform and a double-pole transform, at little additional computational cost. A Fourier analysis of the associated deconvolution problem shows that both alternative kernels are better conditioned than the Lorentzian kernel at the same width parameter $Γ$. We benchmark the resulting inversions for deuteron photodisintegration by adding controlled noise to the LIT solutions. Relative to the standard LIT, the alternative kernels yield response functions with reduced noise-induced scatter: by a factor of 2-3 for the complex Stieltjes kernel and 3-4 for the double-pole kernel.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05887",
  "author_total": 2,
  "authors": [
    {
      "name": "Elad Parnes"
    },
    {
      "name": "Nir Barnea"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2w7efzkrbywea.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05887",
  "fulltext_url": null,
  "id": "2w7efzkrbywea",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.05887",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "nucl-th"
    ],
    [
      "openalex",
      "3106|Nuclear physics research studies"
    ]
  ],
  "openalex": "W7212072879",
  "pdf_url": "https://arxiv.org/pdf/2609.05887",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2w7efzkrbywea.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.05887",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05887"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "Improving the accuracy of the Lorentz Integral Transform method using complex kernels",
  "title_text": "Improving the accuracy of the Lorentz Integral Transform method using complex kernels",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/2w7efzkrbywea",
  "venue": "arXiv",
  "versions": []
}