Parity violation in quasielastic electron scattering from closed-shell nuclei

Amaro, J. E.; Caballero, J. A.; Donnelly, T. W.; Lallena, A. M.; Guerra, E. Moya de; Udı́as, J. M.

doi:10.1016/0375-9474(96)00034-6

Cited by 61 publications

(168 citation statements)

References 35 publications

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“…The SR approach includes important relativistic ingredients in the current operator. This has been already illustrated in previous works [9,15,64,65], and it is also clearly shown by results in Fig. 14 corresponding to the plane-wave limit; the fully relativistic and the SR calculations lead to very similar curves in spite of using different descriptions of the initial bound nucleon wave functions: solutions of the Dirac-Hartree model and the Schrödinger equation with a Woods-Saxon potential, respectively.…”

Section: B Inclusive Qe Charged-current (ν µ) Reactionssupporting

confidence: 77%

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

Caballero

2006

Phys. Rev. C

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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.

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Section: B Inclusive Qe Charged-current (ν µ) Reactionssupporting

confidence: 77%

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

Caballero

2006

Phys. Rev. C

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“…Although extensive tests showing the reliability of the SR expansion [12] have been performed within the context of the RFG and RPWIA approaches, the effects introduced by the dynamical enhancement of the lower components in the Dirac spinors [13][14][15], accounted for within a fully relativistic calculation, are not present in the SR approaches and this may be the reason that the fully relativistic and the SR calculations for the scaling function differ. From previous studies [6,7], we have shown that the scaling function is very slightly modified by the dynamical relativistic effects linked to the initial bound nucleon states.…”

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confidence: 99%

Scaling and isospin effects in quasielastic lepton–nucleus scattering in the relativistic mean field approach

et al. 2007

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The role of isospin in quasielastic electron scattering and charge-changing neutrino reactions is investigated in the relativistic impulse approximation. We analyze proton and neutron scaling functions making use of various theoretical descriptions for the final-state interactions, focusing on the effects introduced by the presence of strong scalar and vector terms in the relativistic mean field approach. An explanation for the differences observed in the scaling functions evaluated from (e, e ) and (ν, μ) reactions is provided by invoking the differences in isoscalar and isovector contributions. © 2007 Elsevier B.V. All rights reserved. PACS: 25.30.Pt; 25.30.Fj; 24.10.Jv Extensive analyses of quasielastic (QE) inclusive electron scattering data performed in recent years [1][2][3][4] have clearly demonstrated the quality of the behavior known as scaling. These analyses are based on the so-called superscaling function, f (ψ ), obtained by dividing the cross section by an appropriate function which contains the single nucleon physics, and plotting the result against the scaling variable ψ (q, ω) (see, e.g., [5]). One then studies the dependences upon the momentum transfer q and the specific nucleus chosen. From (e, e ) world data one concludes that scaling of the first kind (no dependence on q) is reasonably respected at energies below the QE peak, whereas scaling of the second kind (no dependence on the nuclear species) is fulfilled very well in the same region. The simultaneous occurrence of both kinds of scaling is called superscaling. At energies above the QE peak, breaking of both * Corresponding author.E-mail address: jac@us.es (J.A. Caballero).kinds of scaling is observed, residing mostly in the transverse channel, and likely due to effects beyond the impulse approximation.Experimental data lead to a scaling function with a characteristic asymmetric shape, having a tail that extends to high values of the transferred energy ω (positive values of the scaling variable ψ (q, ω)). The asymmetric shape of the scaling function is largely absent in non-relativistic (NR) models based on a mean field approach. In contrast, the study presented in [6,7] has shown that the asymmetry can in fact be obtained within the relativistic impulse approximation (RIA), given that a description of final-state interactions (FSI) using strong relativistic mean field (RMF) potentials is assumed. Recently, we have shown [8] that an asymmetrical scaling function can be also obtained within the framework of a semi-relativistic (SR) model, based on improved NR expansions of the on-shell electromagnetic current, provided that the FSI are described by the Dirac equation-based (DEB) potential [9] derived from the RMF. Note that, in the SR model, the nonlocalities arising from the 0370-2693/$ -see front matter

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“…with E and p = √ E 2 − M 2 the nucleon energy and momentum, E max = E Λ − m π , the maximum nucleon energy, neglecting the recoil of the nucleus, and R lj (p; r) a continuum solution of the nucleon Schrödinger equation [32], with the same potential as that used for the bound nucleons to compute the discrete contribution to the decay width. The nucleon wave function normalization in the continuum is the same as that given above for the pions (Eqs.…”

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confidence: 99%