Inclusive quasielastic scattering of polarized electrons from polarized nuclei

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

doi:10.1016/s0375-9474(96)00334-x

Cited by 32 publications

(92 citation statements)

References 25 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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“…The shell model calculation has been checked by comparison with the factorized plane wave impulse approximation (PWIA) [36]. In this approximation there is no final-state interaction and hence the final neutron states are plane waves.…”

Section: Resultsmentioning

confidence: 99%

“…As a consequence, the exclusive hadronic tensor factorizes as the product of a single nucleon hadronic tensor times a partial momentum distribution, and the calculation is straightforward in the shell model. For the present case an additional integration and a sum over initial states is needed since we are interested in the inclusive case, similar to the factorized PWIA in (e, e ′ ) introduced in [36]. The PWIA can be also approached with our multipole expansion code by setting to zero the WS potential in the final states.…”

Section: Resultsmentioning

confidence: 99%

Equivalence between local Fermi gas and shell models in inclusive muon capture from nuclei

et al. 2005

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Motivated by recent studies of inclusive neutrino nucleus processes and muon capture within a correlated local Fermi gas model (LFG), we discuss the relevance of nuclear finite size effects in these reactions at low energy, in particular for muon capture. To disentangle these effects from others coming from the reaction dynamics we employ here a simple uncorrelated shell model that embodies the typical finite size content of the problem. The integrated decay widths of muon atoms calculated with this shell model are then compared for several nuclei with those obtained within the uncorrelated LFG, using in both models exactly the same theoretical ingredients and parameters. We find that the two predictions are in quite good agreement, within 1-7%, when the shell model density and the correct energy balance is used as input in the LFG calculation. The present study indicates that, despite the low excitation energies involved in the reaction, integrated inclusive observables, like the total muon capture width, are quite independent of the fine details of the nuclear wave functions.

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“…This conjecture is based on the large enhancement of the transverse-longitudinal response observed in this scheme, which was also seen in the fully relativistic calculation of [3]. If this conjecture is indeed true, relativity could be taken into account by applying the operator introduced in [1,[4][5][6] together with non-relativistic wave functions to the calculation of electro-nuclear reactions. This would obviously be very useful.…”

Section: Introductionmentioning

confidence: 68%

Origin of relativistic effects in the reaction2H(e,e′p)nat GeV energies

Jeschonnek

Orden

2000

Phys. Rev. C

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In a series of recent publications, a new approach to the non-relativistic reduction of the electromagnetic current operator in calculations of electro-nuclear reactions has been introduced. In one of these papers [1], the conjecture that at energies of a few GeV, the bulk of the relativistic effects comes from the current and not from the nuclear dynamics was made, based on the large relativistic effects in the transverse-longitudinal response. Here, we explicitly compare a fully relativistic, manifestly covariant calculation performed with the Gross equation, with a calculation that uses a non-relativistic wave function and a fully relativistic current operator. We find very good agreement up to missing momenta of 400 MeV/c, thus confirming the previous conjecture. We discuss slight deviations in cross sections for higher missing momenta and their possible origin, namely p-wave contributions and off-shell effects.

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Inclusive quasielastic scattering of polarized electrons from polarized nuclei

Cited by 32 publications

References 25 publications

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

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

Equivalence between local Fermi gas and shell models in inclusive muon capture from nuclei

Origin of relativistic effects in the reaction2H(e,e′p)nat GeV energies

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