Scattering of polarized electrons from polarized targets: Coincidence reactions and prescriptions for polarized half-off-shell single-nucleon cross sections

Caballero, J. A.; Donnelly, T. W.; Poulis, G. I.

doi:10.1016/0375-9474(93)90503-p

Cited by 53 publications

(137 citation statements)

References 21 publications

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“…In the inset in fig.7 we show the four response functions in eq. (38). It is clear that, as mentioned above, the dominant contribution is by far given by the transverse part.…”

Section: B Cross Sections and Response Functionsmentioning

confidence: 67%

“…Electron scattering by a free nucleon is a well understood reaction, and the only uncertainties come from the off-shell character of the nucleon interacting with the electron. For halo neutrons off-shell effects in the nucleon current can not be expected to be important, and we consider the CC1 prescription [36][37][38].…”

Section: Spectral Function and Response Functionsmentioning

confidence: 99%

“…Assuming that the internal energy E ′ x can be neglected in eq. (29) the cross section can then also be written as shown in (38).…”

Section: B Cross Sections and Response Functionsmentioning

confidence: 99%

“…(35). The dashed line is the calculation as in (38) where E ′ x has been fully neglected in eq. (29) (29), respectively.…”

Section: B Cross Sections and Response Functionsmentioning

confidence: 99%

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Electron scattering on two-neutron halo nuclei: The case of 6He

Garrido¹,

Guerra²

1999

Nuclear Physics A

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The formalism to describe electron scattering reactions on two-neutron halo nuclei is developed. The halo nucleus is described as a three-body system (core+n+n), and the wave function is obtained by solving the Faddeev equations in coordinate space. We discuss elastic and quasielastic scattering using the impulse approximation to describe the reaction mechanism. We apply the method to investigate the case of electron scattering on 6 He. Spectral functions, response functions, and differential cross sections are calculated for both neutron knockout and α knockout by the electron.PACS numbers: 25.30. Fj, 25.70.Bc, 21.45.+v

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“…In the inset in fig.7 we show the four response functions in eq. (38). It is clear that, as mentioned above, the dominant contribution is by far given by the transverse part.…”

Section: B Cross Sections and Response Functionsmentioning

confidence: 67%

Section: Spectral Function and Response Functionsmentioning

confidence: 99%

“…Assuming that the internal energy E ′ x can be neglected in eq. (29) the cross section can then also be written as shown in (38).…”

Section: B Cross Sections and Response Functionsmentioning

confidence: 99%

“…(35). The dashed line is the calculation as in (38) where E ′ x has been fully neglected in eq. (29) (29), respectively.…”

Section: B Cross Sections and Response Functionsmentioning

confidence: 99%

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Electron scattering on two-neutron halo nuclei: The case of 6He

Garrido¹,

Guerra²

1999

Nuclear Physics A

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“…Nucleons in the nucleus are bound and therefore off-shell; they do not fulfill the same energymomentum relations as free nucleons. Currently, there exists no microscopic description of this off-shell behavior that can be applied for a wide range of kinematic conditions -there are only ad hoc prescriptions, which lead to differing results for certain kinematics [21][22][23]. The variations tend to increase with increasing momentum of the initial nucleon -the higher its momentum, the further it is off-shell.…”

Section: B Off-shell Effectsmentioning

confidence: 99%

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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Spin Dependent Momentum Distributions in Deformed Nuclei

et al. 1995

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We study the properties of the spin dependent one body density in momentum space for odd-A polarized deformed nuclei within the mean field approximation. We derive analytic expressions connecting intrinsic and laboratory momentum distributions. The latter are related to observable transition densities in p-space that can be probed in one nucleon knock-out reactions from polarized targets. It is shown that most of the information contained in the intrinsic spin dependent momentum distribution is lost when the nucleus is not polarized. Results are presented and discussed for two prolate nuclei, 21 Ne and 25 Mg, and for one oblate nucleus, 37 Ar. The effects of deformation are highlighted by comparison to the case of odd-A nuclei in the spherical model.where M λ (p) are the multipoles of the intrinsic momentum distribution (see Eq. (24)), G(λ; JK) is a geometrical coefficient

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Scattering of polarized electrons from polarized targets: Coincidence reactions and prescriptions for polarized half-off-shell single-nucleon cross sections

Cited by 53 publications

References 21 publications

Electron scattering on two-neutron halo nuclei: The case of 6He

Electron scattering on two-neutron halo nuclei: The case of 6He

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

Spin Dependent Momentum Distributions in Deformed Nuclei

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