General study of superscaling in quasielastic(e,e')and(ν,μ

Abstract

The phenomenon of superscaling for quasielastic lepton induced reactions at energies of a few GeV is investigated within the framework of the relativistic impulse approximation. A global analysis of quasielastic inclusive electron and charged-current neutrino scattering reactions on nuclei is presented. Scaling and superscaling properties are shown to emerge from both types of processes. The crucial role played by final state interactions is evaluated by using different approaches. The asymmetric shape presented by the experimental scaling function, with a long tail in the region of positive values of the scaling variable, is reproduced when the interaction in the final state between the knockout nucleon and the residual nucleus is described within the relativistic mean field approach. The impact of gauge ambiguities and off-shell effects in the scaling function is also analyzed.

Relativistic descriptions of quasielastic charged-current neutrino-nucleus scattering: Application to scaling and superscaling ideas

“…Previous studies [19][20][21][22] have clearly illustrated the key role played by FSI to reproduce the specific asymmetric shape shown by the experimental scaling function. Specifically, description of the final nucleon state using the same relativistic mean-field potential considered in describing the initial state, denoted simply as RMF, leads to a superscaling function in accordance with data.…”

“…The kinematics involved in the MiniBooNE experiment, neutrino energy flux ranging from 375 MeV up to ∼3 GeV, requires the use of a relativistic description of the process. Moreover, a proper analysis of data requires also good control on nuclear effects [5,19,20,24,[28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]. Notice that any reliable calculation for neutrino scattering should first be tested against electron scattering in the same kinematical conditions.…”

Relativistic description of final-state interactions in neutral-current neutrino and antineutrino cross sections

“…FSI have been considered in relativistic calculations for the inclusive QE electron-and neutrino-nucleus scattering under different approaches [58][59][60][61][62][63][64][65][66][67][68][69][70]. The simplest one corresponds to the relativistic plane-wave impulse approximation (RPWIA), where FSI are neglected.…”

Scaling function and nucleon momentum distribution

“…Not only should the superscaling behavior be fulfilled, but also the specific shape of f L exp must be reproduced. This subject has been studied in detail in previous work showing the importance of FSI and relativity [23][24][25][26][27], and those studies clearly show that any conclusion about the momentum distribution based on Eq. (4) should be made with caution.…”

“…3 we present the superscaling function f (ψ) evaluated within the framework of the relativistic PWIA (RPWIA) (see Refs. [24] and [25] against the superscaling variable ψ in the negative-ψ region (below the QEP). This variable is given by [10,12] …”