Constraints in modeling the quasielastic response in inclusive lepton-nucleus scattering

Abstract

We show that the quasielastic (QE) response calculated with the SuSAv2 (superscaling approach) model, that relies on the scaling phenomenon observed in the analysis of (e, e ′ ) data and on the relativistic mean-field theory, is very similar to that from a relativistic distorted wave impulse approximation model when only the real part of the optical potentials is employed. The coincidence between the results from these two completely independent approaches, which satisfactorily agree with the inclusive data, reinforces the reliability of the quasielastic predictions stemming from both models and sets constraints for the QE response. We also study the low energy and momentum transfer region of the inclusive response by confronting the results of the relativistic mean-field model with those of the Hartree-Fock continuum random-phase approximation model, which accounts for nuclear long-range correlations. Finally, we present a comparison of our results with the recent JLab (e, e ′ ) data for argon, titanium and carbon, finding good agreement with the three data sets.

Neutrino-nucleus scattering in the SuSA model

“…We notice that in the case of the CCQE neutrino interaction, studied in Ref. [61], one gets a E m − p m trajectory plot that is almost identical to the one in Fig. 5.…”

“…This is mainly due to RMF scaling violations, related to low-energy nuclear effects and to different binding energies for each nucleus, which are not properly accounted for in the SuSAv2 approach. This limitation of the model has been solved in the recent ED-RMF approach [30,31] where the goodness of the RMF strong vector and scalar potentials at lowintermediate kinematics are present while also retaining the benefits of the SuSAv2 model description at larger kinematics, as described in Sect. 2.2.…”

“…[17,29] for details). A similar solution to this drawback of the RMF model has been taken in the recent energydependent RMF (ED-RMF) approach [30,31] where RMF potentials are multiplied by a blending function inspired by the SuSAv2 one that scales them down as the kinetic energy of the scattered nucleon increases, also preventing non-orthogonality issues. This model predicts both lepton and nucleon kinematics, showing a similar agreement on electron and neutrino data with SuSAv2.…”

Semi-inclusive charged-current neutrino-nucleus cross sections in the relativistic plane-wave impulse approximation

“…As discussed in Refs. [27,60], the PWIA approach fails in describing leptonnucleus scattering reactions at low values of the momentum and energy transfers. This is a consequence of the lack of orthogonality between the bound and free nucleon wave functions, and the extremely large effects associated to the overlap between the nonorthogonal initial and final states in the nearthreshold region.…”

Inclusive electron scattering off C12, Ca40 , and ArButkevich1, Luchuk2 2020Phys. Rev. C6010View full textAdd to dashboardCite

“…In recent years many studies have been presented to improve our knowledge on lepton-nucleus scattering [6][7][8][9][10][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. Approaches which go beyond the impulse approximation were developed in Refs.…”