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RESEARCH PRODUCT

Ab Initio Computation of the Longitudinal Response Function in Ca40

J. E. SobczykBijaya AcharyaGaute HagenGaute HagenSonia Bacca

subject

PhysicsLorentz transformationNuclear TheoryGeneral Physics and AstronomyFunction (mathematics)State (functional analysis)Integral transformMomentumsymbols.namesakeQuantum mechanicsCoulombsymbolsSum rule in quantum mechanicsNeutrino

description

We present a consistent ab initio computation of the longitudinal response function ${R}_{L}$ in $^{40}\mathrm{Ca}$ using the coupled-cluster and Lorentz integral transform methods starting from chiral nucleon-nucleon and three-nucleon interactions. We validate our approach by comparing our results for ${R}_{L}$ in $^{4}\mathrm{He}$ and the Coulomb sum rule in $^{40}\mathrm{Ca}$ against experimental data and other calculations. For ${R}_{L}$ in $^{40}\mathrm{Ca}$ we obtain a very good agreement with experiment in the quasielastic peak up to intermediate momentum transfers, and we find that final state interactions are essential for an accurate description of the data. This work presents a milestone towards ab initio computations of neutrino-nucleus cross sections relevant for experimental long-baseline neutrino programs.

https://doi.org/10.1103/physrevlett.127.072501