Superscaling analyses of inclusive electron scattering and their extension to charge-changing neutrino cross sections in nuclei

Antonov, A. N.; Ivanov, M. V.; Gaidarov, M. K.; Guerra, E. Moya de; Caballero, J. A.; Bárbaro, M. B.; Udías, J. M.; Sarriguren, P.

doi:10.1063/1.2733028

Cited by 18 publications

(99 citation statements)

References 37 publications

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“…Finally, we give in Fig. 6 as an example (being considered and used in our previous work) the result obtained with the coherent density fluctuation model (CDFM) [4,7,11]; see also [21,23]. The model is a natural extension of the RFG model.…”

Section: Scaling Function In Relation To the Spectral Function Anmentioning

confidence: 99%

“…The nucleon momentum distribution n LF D obtained in Refs. [23,31] by using the light-front dynamics (LFD) method [32] is presented in Fig. 6 as well.…”

Section: Scaling Function In Relation To the Spectral Function Anmentioning

confidence: 99%

“…The CDFM has been applied to studies of the superscaling phenomenon [20][21][22][23] in inclusive electron-nucleus scattering, as well as to analyses of neutrino and antineutrino scattering by nuclei of both charge-changing [23,35] and neutral-current [36] types. Before entering into a discussion of the RMF results, it is interesting to point out the significant differences introduced by the other models.…”

Section: Scaling Function In Relation To the Spectral Function Anmentioning

confidence: 99%

“…Since it is impossible within the MFA to describe simultaneously the density and momentum distributions in nuclei [4,[7][8][9][10][11][12], a consistent analysis of the role of the NN correlations is required using theoretical methods that go beyond the MFA to obtain a successful description of the relevant experiments. The present study uses the results found from studies of y scaling [1][2][3][13][14][15] and superscaling (based on ψ-scaling variable) [15][16][17][18][19][20][21][22][23] obtained from analyses of inclusive electron scattering data. The latter consists in constructing a "superscaling function" f (ψ) obtained by removing the single-nucleon content from the double-differential cross section and plotting it versus a scaling variable ψ(q, ω).…”

Section: Introductionmentioning

confidence: 99%

“…When scaling of both the first and second type occurs, one says that superscaling has taken place. It was pointed out [18,[20][21][22][23] that the physical reason for the superscaling is the specific high-momentum tail of n(p), which arises due to NN correlations and is similar for all nuclei. As was pointed out in Ref.…”

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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Section: Scaling Function In Relation To the Spectral Function Anmentioning

confidence: 99%

“…The nucleon momentum distribution n LF D obtained in Refs. [23,31] by using the light-front dynamics (LFD) method [32] is presented in Fig. 6 as well.…”

Section: Scaling Function In Relation To the Spectral Function Anmentioning

confidence: 99%

Section: Scaling Function In Relation To the Spectral Function Anmentioning

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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Nucleon effective masses in neutron-rich matter

Li¹,

Cai²,

Chen³

et al. 2018

Progress in Particle and Nuclear Physics

183

112

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Various kinds of isovector nucleon effective masses are used in the literature to characterize the momentum/energy dependence of the nucleon symmetry potential or self-energy due to the space/time non-locality of the underlying isovector strong interaction in neutron-rich nucleonic matter. The multifaceted studies on nucleon isovector effective masses are multi-disciplinary in nature. Besides structures, masses and low-lying excited states of nuclei as well as nuclear reactions, studies of the isospin dependence of short-range correlations in nuclei from scatterings of high-energy electrons and protons on heavy nuclei also help understand nucleon effective masses especially the so-called E-mass in neutron-rich matter. A thorough understanding of all kinds of nucleon effective masses has multiple impacts on many interesting issues in both nuclear physics and astrophysics. Indeed, essentially all microscopic many-body theories and phenomenological models with various nuclear forces available in the literature have been used to calculate single-nucleon potentials and the associated nucleon effective masses in neutron-rich matter. There are also fundamental principles connecting different aspects and impacts of isovector strong interactions. In particular, the Hugenholtz-Van Hove theorem connects analytically nuclear symmetry energy with both isoscalar and isovector nucleon effective masses as well as their own momentum dependences. It also reveals how the isospin-quartic term in the equation of state of neutron-rich matter depends on the high-order momentum-derivatives of both isoscalar and isovector nucleon potentials. The Migdal-Luttinger theorem facilitates the extraction of nucleon E-mass and its isospin dependence from experimentally constrained single-nucleon momentum distributions. The momentum/energy dependence of the symmetry potential and the corresponding neutron-proton effective mass splitting also affect transport properties and the liquid-gas phase transition in neutron-rich matter. Moreover, they influence the dynamics and isospin-sensitive observables of heavy-ion collisions through both the Vlasov term and the collision integrals of the Boltzmann-Uehling-Uhlenbeck transport equation. We review here some of the significant progresses made in recent years by the nuclear physics community in resolving some of the hotly debated and longstanding issues regarding nucleon effective masses especially in dense neutron-rich matter. We also point out some of the remaining key issues requiring further investigations in the era of high precision experiments using advanced rare isotope beams. Nucleon effective masses in non-relativistic modelsWe focus on non-relativistic nucleon effective masses or the ones derived from the Schrödinger equivalent singleparticle potential in relativistic models. The k-mass M * ,k J and E-mass M * ,E J of a nucleon J = n/p can be obtained from the momentum and energy dependence of the single-nucleon potential U J (ρ, δ, k, E) in nucleonic matter of density ρ and isospin asymmetry δ...

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Analysis of undergraduate student concept understanding-three-tier test: Simple harmonic motion on mass-spring system

Nugraha¹,

Cari²,

Супармі³

et al. 2019

AIP Conference Proceedings

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Superscaling analyses of inclusive electron scattering and their extension to charge-changing neutrino cross sections in nuclei

Cited by 18 publications

References 37 publications

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

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

Nucleon effective masses in neutron-rich matter

Analysis of undergraduate student concept understanding-three-tier test: Simple harmonic motion on mass-spring system

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