Comparison of relativistic and non-relativistic amplitudes for photonuclear reactions

Hedayati-Poor, M.; Sherif, H.

doi:10.1016/0370-2693(94)91184-3

Cited by 8 publications

(12 citation statements)

References 24 publications

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“…A similar remark was first pointed out in Ref. [30] in the context of photonuclear reactions, where the effect of the S-V potentials in the interaction Hamiltonian was studied up to second order in a 1/(E + M) expansion.…”

Section: A Relativistic Formalismmentioning

confidence: 75%

Relativistic versus nonrelativistic optical potentials inA(e,e’p)Breactions

et al. 1995

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We investigate the role of relativistic and nonrelativistic optical potentials used in the analysis of (e, e ′ p) data. We find that the relativistic calculations produce smaller (e, e ′ p) cross sections even in the case in which both relativistic and nonrelativistic optical potentials fit equally well the elastic proton-nucleus scattering data. Compared to the nonrelativistic impulse approximation, this effect is due to a depletion in the nuclear interior of the relativistic nucleon current, which should be taken into account in the nonrelativistic treatment by a proper redefinition of the effective current operator. 25.30.Fj, 24.10.Jv, 21.10.Jx

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Section: A Relativistic Formalismmentioning

confidence: 75%

Relativistic versus nonrelativistic optical potentials inA(e,e’p)Breactions

et al. 1995

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“…Relativistic analyses of the photonuclear reactions (γ, p) and (γ, π − p) are discussed in [Lo92,He94,Jo94]. Other phenomena such as (σωγ) mixing, (ρω) mixing, charge-symmetry breaking, and the production of (e + e − ) pairs to probe the quark-gluon plasma are discussed in [Kr92,Li95a,Li95b].…”

Section: Recent Developments In Electromagnetic Interactionsmentioning

confidence: 99%

Recent Progress in Quantum Hadrodynamics

Serot

Walecka

1997

Int. J. Mod. Phys. E

992

1,511

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Quantum hadrodynamics (QHD) is a framework for describing the nuclear many-body problem as a relativistic system of baryons and mesons. Motivation is given for the utility of such an approach and for the importance of basing it on a local, Lorentz-invariant lagrangian density. Calculations of nuclear matter and finite nuclei in both renormalizable and nonrenormalizable, effective QHD models are discussed. Connections are made between the effective and renormalizable models, as well as between relativistic mean-field theory and more sophisticated treatments. Recent work in QHD involving nuclear structure, electroweak interactions in nuclei, relativistic transport theory, nuclear matter under extreme conditions, and the evaluation of loop diagrams is reviewed.

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“…In the rest of this section we discuss a Schrödinger-like wave equation derived from the Dirac equation (6). The solutions of this Schrödinger-like equation will be used in the next section to cast the amplitude in a nonrelativistic form.…”

Section: Relativistic Direct Knock-out Mechanismmentioning

confidence: 99%

“…The Pauli reduction scheme begins with the relativistic distorted wave amplitude in which the initial and final nucleons are described by Dirac wave functions. The Dirac wave functions are solutions of the Dirac wave equation (6) with different strong potentials for bound and continuum nucleons. The amplitude resulting from the Pauli reduction procedure has bound and continuum nucleons described by nonrelativistic wave functions.…”

Section: Differences Between the Fw And Pauli Reduction Schemesmentioning

confidence: 99%

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Relativistic calculations for photonuclear reactions (II). nonrelativistic reductions and nuclear medium effects

Hedayati-Poor¹,

Johansson²,

Sherif³

1995

Nuclear Physics A

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The relativistic amplitude for the direct knock-out contribution to (γ, p) reactions on nuclei is reduced to a nonrelativistic form using an effective Pauli reduction scheme. The reduction is carried out to second order in the inverse nucleon mass. It is found that the interaction Hamiltonian appearing in the nonrelativistic amplitude has significant dependence, starting at second order, on the vector and scalar mean nuclear potentials. These strong medium modifications are absent in traditional nonrelativistic calculations. Detailed comparisons show that these modifications are crucial to understanding the differences between relativistic and nonrelativistic models. These differences are also examined through reduction of the relativistic amplitude via the Foldy-Wouthuysen transformation. Similar medium modifications are obtained in this case as well. We discuss the implications of these medium modifications for the consistency of existing nonrelativistic calculations.

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Comparison of relativistic and non-relativistic amplitudes for photonuclear reactions

Cited by 8 publications

References 24 publications

Relativistic versus nonrelativistic optical potentials inA(e,e’p)Breactions

Relativistic versus nonrelativistic optical potentials inA(e,e’p)Breactions

Recent Progress in Quantum Hadrodynamics

Relativistic calculations for photonuclear reactions (II). nonrelativistic reductions and nuclear medium effects

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