Antisymmetrized Green’s function approach to (e,e′) reactions with a realistic nuclear density

Capuzzi, F.; Giusti, C.; Pacati, F.D.; Kadrev, D. N.

doi:10.1016/j.aop.2004.12.005

Cited by 29 publications

(45 citation statements)

References 64 publications

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“…The latter procedure is based on the relativistic Green's function (GF) approach (see Refs. [14,[36][37][38][39]), which allows one to treat FSI consistently in the inclusive and exclusive reactions.…”

Section: Discussionmentioning

confidence: 99%

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Relativistic descriptions of inclusive quasielastic electron scattering: Application to scaling and superscaling ideas

et al. 2009

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An analysis of inclusive quasielastic electron scattering is presented using different descriptions of the final-state interactions within the framework of the relativistic impulse approximation. The relativistic Green's function approach is compared with calculations based on the use of relativistic purely real mean-field potentials in the final state. Both approaches lead to a redistribution of the strength but conserving the total flux. Results for the differential cross section at different energies are presented. Scaling properties are also analyzed and discussed.

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Section: Discussionmentioning

confidence: 99%

“…Moreover, redistribution of strength among different channels is due to the real and also significantly to the imaginary part of the potential (see Refs. [14,[36][37][38][39] for details).…”

Section: Introductionmentioning

confidence: 99%

Relativistic descriptions of inclusive quasielastic electron scattering: Application to scaling and superscaling ideas

et al. 2009

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“…Because of the analyticity properties of the OP, the RGF model fulfills the Coulomb sum rule [63,92,97]. More details about the RGF model can be found in [48,[63][64][65][66][67][92][93][94][95][96] The RGF results can give a satisfactory description of experimental (e, e ′ ) cross sections in the QE region [48,66]. In particular, the RGF provides a significant asymmetry in the scaling function, in agreement with the general behavior of electron scattering data that present a significant tail extended to large values of the transferred energy [98].…”

Section: Inclusive Quasi-elastic Electron Scatteringmentioning

confidence: 99%

“…In other approaches FSI are included in relativistic DWIA (RDWIA) calculations where the final nucleon state is evaluated with real potentials. In a different description of FSI relativistic Green's function (RGF) techniques [48,[63][64][65][66][67][92][93][94][95][96] are used.…”

Section: Inclusive Quasi-elastic Electron Scatteringmentioning

confidence: 99%

Elastic and quasi-elastic electron scattering on theN=14, 20, and 28 isotonic chains

et al. 2014

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We present theoretical predictions for electron scattering on the N = 14, 20, and 28 isotonic chains from proton-deficient to proton-rich nuclei. The calculations are performed within the framework of the distorted-wave Born approximation and the proton and neutron density distributions are evaluated adopting a Relativistic Hartree-Bogoliubov (RHB) approach with a density dependent meson-exchange interaction. We present results for the elastic and quasi-elastic cross sections and for the parity-violating asymmetry parameter. Owing to the correlations between the evolution of the electric charge form factors along each chain with the underlying proton shell structure of the isotones, elastic electron scattering experiments on isotones can provide useful informations about the occupation and filling of the single-particle levels of protons.

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“…In the relativistic plane-wave impulse approximation (RPWIA), FSI are simply neglected. In another approach, FSI are accounted for in relativistic DWIA (RDWIA) calculations by including only the real part of the relativistic optical potential (rROP).In the RGF techniques [9,10,11,12,13,14,15,16,17,18,19], FSI are described in the inclusive scattering by the same complex OP as in the exclusive scattering, but the imaginary part is used in the two cases in a different way and in the inclusive reaction the flux, although is redistributed in all the channels, is conserved. In the RGF model with suitable approximations, which are mainly related to the impulse approximation, the components of the hadron tensor are written in terms of the s.p.…”

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confidence: 99%

Quasielastic scattering with the relativistic Green’s function approach

Meucci¹,

Giusti²

2015

AIP Conference Proceedings

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Abstract. A relativistic model for quasielastic (QE) lepton-nucleus scattering is presented. The effects of final-state interactions (FSI) between the ejected nucleon and the residual nucleus are described in the relativistic Green's function (RGF) model where FSI are consistently described with exclusive scattering using a complex optical potential. The results of the model are compared with experimental results of electron and neutrino scattering.Keywords: Relativistic models, Electron scattering, Neutrino scattering PACS: 25.30.Pt; 25.30.Fj; 13.15.+g; 24.10.Jv FINAL-STATE INTERACTIONS IN LEPTON-NUCLEUS SCATTERINGIn the QE region the nuclear response to an electroweak probe is dominated by one-nucleon knockout processes, where the scattering occurs with only one nucleon while the remaining nucleons of the target behave as simple spectators. The reaction can adequately be described in the relativistic impulse approximation (IA) by the sum of incoherent processes involving only one nucleon scattering and the components of the hadron tensor are obtained from the sum, over all the single-particle (s.p.) shell-model states, of the squared absolute value of the transition matrix elements of the single-nucleon current. A reliable description of FSI is an essential ingredient for the comparison with data. The relevance of FSI has been clearly stated for the exclusive (e, e ′ p) reaction, where the use of complex optical potentials (OP) in the distorted-wave impulse approximation (DWIA) is required [1,2,3,4,5,6,7,8]. The imaginary part of the OP produces an absorption that reduces the cross section and accounts for the fact that, if other channels are open besides the elastic one, part of the incident flux is lost in the elastically scattered beam and goes to the other (inelastic) channels which are open. In the inclusive scattering only the emitted lepton is detected, the final nuclear state is not determined and all elastic and inelastic channels contribute. This requires a different treatment of FSI where all final-state channels should be retained and the total flux, although redistributed among all possible channels, must be conserved. Different approaches have been used to describe FSI in relativistic calculations for the inclusive QE electron-and neutrino-nucleus scattering. In the relativistic plane-wave impulse approximation (RPWIA), FSI are simply neglected. In another approach, FSI are accounted for in relativistic DWIA (RDWIA) calculations by including only the real part of the relativistic optical potential (rROP).In the RGF techniques [9,10,11,12,13,14,15,16,17,18,19], FSI are described in the inclusive scattering by the same complex OP as in the exclusive scattering, but the imaginary part is used in the two cases in a different way and in the inclusive reaction the flux, although is redistributed in all the channels, is conserved. In the RGF model with suitable approximations, which are mainly related to the impulse approximation, the components of the hadron tensor are written in terms of the s.p. ...

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Antisymmetrized Green’s function approach to (e,e′) reactions with a realistic nuclear density

Cited by 29 publications

References 64 publications

Relativistic descriptions of inclusive quasielastic electron scattering: Application to scaling and superscaling ideas

Relativistic descriptions of inclusive quasielastic electron scattering: Application to scaling and superscaling ideas

Elastic and quasi-elastic electron scattering on theN=14, 20, and 28 isotonic chains

Quasielastic scattering with the relativistic Green’s function approach

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