Scaling function and nucleon momentum distribution

Caballero, J. A.; Bárbaro, M. B.; Antonov, A. N.; Ivanov, M. V.; Donnelly, T. W.

doi:10.1103/physrevc.81.055502

Cited by 20 publications

(43 citation statements)

References 54 publications

(117 reference statements)

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“…[24] and references therein), in the Plane-Wave Impulse Approximation (PWIA), the (e, e N ) differential cross section factorizes in the form: dσ d d dp N …”

Section: Introductionmentioning

confidence: 99%

“…In Ref. [24], the analysis applied in the past to the scaling region (that is, negative values of the scaling variable y) was extended to positive y, leading to results that differ from those based solely on the scaling region and providing new insights into the issue of how the energy and momentum are distributed in the spectral function.…”

Section: Introductionmentioning

confidence: 99%

“…where (q, ω) represents the kinematically allowed region [24]. Only in the case when it is possible to extend the region (q, ω) to infinity in the excitation energy plane (i.e., at E max → ∞) would the scaling function be directly linked to the momentum distribution of the nuclear system:…”

Section: Introductionmentioning

confidence: 99%

“…(1), p is the missing momentum and E is the excitation energy that is essentially the missing energy minus the separation energy. Further assumptions are necessary [24] to show how the scaling function F (q, ω) emerges from the PWIA, namely, the spectral function is assumed to be isospin independent and σ eN is assumed to have a very mild dependence on p and E. The scaling function can be expressed in terms of the differential cross section for inclusive QE (e, e ) processes:…”

Section: Introductionmentioning

confidence: 99%

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Scaling function, spectral function, and nucleon momentum distribution in nuclei

et al. 2011

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The link between the scaling function extracted from the analysis of (e, e ) cross sections and the spectral function/momentum distribution in nuclei is revisited. Several descriptions of the spectral function based on the independent particle model are employed, together with the inclusion of nucleon correlations, and effects of the energy dependence arising from the width of the hole states are investigated. Although some of these approaches provide rough overall agreement with data, they are not found to be capable of reproducing one of the distinctive features of the experimental scaling function, namely its asymmetry. However, the addition of final-state interactions, incorporated in the present study using either relativistic mean-field theory or via a complex optical potential, does lead to asymmetric scaling functions in accordance with data. The present analysis seems to indicate that final-state interactions constitute an essential ingredient and are required to provide a proper description of the experimental scaling function.

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“…[24] and references therein), in the Plane-Wave Impulse Approximation (PWIA), the (e, e N ) differential cross section factorizes in the form: dσ d d dp N …”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Scaling function, spectral function, and nucleon momentum distribution in nuclei

et al. 2011

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“…Within the PWIA (see, e.g., [15,20] and details therein) the differential cross section for the (e, e N ) process factorizes in the form dσ d dΩ dp…”

Section: Theoretical Scheme and Resultsmentioning

confidence: 99%

Nuclear effects in (anti)neutrino charge-current quasielastic scattering at MINER νA kinematics

Ivanov

Antonov

Megías

et al. 2018

J. Phys.: Conf. Ser.

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Abstract. We compare the characteristics of the charged-current quasielastic (anti)neutrino scattering obtained in two different nuclear models, the phenomenological SuperScaling Approximation and the model using a realistic spectral function S(p, E) that gives a scaling function in accordance with the (e, e ) scattering data, with the recent data published by the MiniBooNE, MINERνA, and NOMAD collaborations. The spectral function accounts for the nucleon-nucleon (NN ) correlations by using natural orbitals from the Jastrow correlation method and has a realistic energy dependence. Both models provide a good description of the MINERνA and NOMAD data without the need of an ad hoc increase of the value of the mass parameter in the axial-vector dipole form factor. The models considered in this work, based on the the impulse approximation (IA), underpredict the MiniBooNE data for the flux-averaged charged-current quasielastic ν µ(νµ) + 12 C differential cross section per nucleon and the total cross sections, although the shape of the cross sections is represented by the approaches. The discrepancy is most likely due to missing of the effects beyond the IA, e.g., those of the 2p-2h meson exchange currents that have contribution in the transverse responses.

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Relativity from Light Front and Bethe–Salpeter Equations

Carbonell

2013

Few-Body Syst

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Scaling function and nucleon momentum distribution

Cited by 20 publications

References 54 publications

Scaling function, spectral function, and nucleon momentum distribution in nuclei

Scaling function, spectral function, and nucleon momentum distribution in nuclei

Nuclear effects in (anti)neutrino charge-current quasielastic scattering at MINER νA kinematics

Relativity from Light Front and Bethe–Salpeter Equations

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