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Ab Initio Computation of the Longitudinal Response Function in ^{40}Ca.

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We accurately computed the longitudinal response function in Calcium-40 using advanced ab initio methods. This research is crucial for understanding neutrino-nucleus interactions in future long-baseline neutrino experiments.

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Area of Science:

  • Nuclear Physics
  • Computational Physics

Background:

  • Accurate theoretical predictions of nuclear responses are vital for interpreting experimental data.
  • Ab initio calculations provide a fundamental approach to nuclear structure and reactions.

Purpose of the Study:

  • To perform a consistent ab initio computation of the longitudinal response function R_L in Calcium-40.
  • To validate the computational approach using light nuclei and sum rules.
  • To advance the prediction of neutrino-nucleus cross sections.

Main Methods:

  • Coupled-cluster theory
  • Lorentz integral transform method
  • Chiral nucleon-nucleon and three-nucleon interactions

Main Results:

  • Excellent agreement with experimental data for R_L in Calcium-40 within the quasielastic peak up to intermediate momentum transfers.
  • Demonstrated the critical role of final state interactions in accurately describing experimental results.
  • Validated the ab initio approach through comparisons with experimental data for Helium-4 and Coulomb sum rules in Calcium-40.

Conclusions:

  • The study establishes a reliable ab initio framework for calculating nuclear response functions.
  • This work represents a significant step towards precise ab initio predictions of neutrino-nucleus cross sections.
  • The findings are directly relevant for upcoming long-baseline neutrino oscillation experiments.