Extended Siegert theorem

Friar, J. L.; Fallieros, S.

doi:10.1103/physrevc.29.1645

Cited by 59 publications

(39 citation statements)

References 18 publications

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“…is readily understood in terms of Siegert's theorem [15,16], familiar in nonrelativistic nuclear physics. For electron scattering processes such as shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

Electroweak corrections to parity-violating neutral current scattering

1990

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We analyze the degree to which parity-violating (PV) electroexcitation of the ∆(1232) resonance may be used to extract the weak neutral axial vector transition form factors. We find that the axial vector electroweak radiative corrections are large and theoretically uncertain, thereby modifying the nominal interpretation of the PV asymmetry in terms of the weak neutral form factors. We also show that, in contrast to the situation for elastic electron scattering, the axial N → ∆ PV asymmetry does not vanish at the photon point as a consequence of a new term entering the radiative corrections. We argue that an experimental determination of these radiative corrections would be of interest for hadron structure theory, possibly shedding light on the violation of Hara's theorem in weak, radiative hyperon decays.

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“…is readily understood in terms of Siegert's theorem [15,16], familiar in nonrelativistic nuclear physics. For electron scattering processes such as shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

Electroweak corrections to parity-violating neutral current scattering

1990

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“…For general multipoles, a more detailed description of the model, including electromagnetic transition matrix elements, may be found in ref. 15.…”

Section: Resultsmentioning

confidence: 99%

“…Using Siegert's theorem [15] to express the current in terms of the dipole operator, D, and the excitation energy, ω N ,…”

Section: Appendix Bmentioning

confidence: 99%

“…The method we use is a straightforward evaluation of the Feynman diagram of figure 1, borrowing heavily from the theory of relativistic electron scattering [15] in order to relate the target and projectile form factors to the appropriate nuclear transition matrix elements. For a 0 + projectile (the generalization to nonzero spin is trivial), the spin averaged cross section for an arbitrary transition multipole is given by…”

Section: Quantum Excitation Cross Sectionmentioning

confidence: 99%

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Electromagnetic dissociation of nuclei in heavy-ion collisions

1993

Phys. Rev. C

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Large discrepancies have been observed between measured Electromagnetic Dissociation(ED) cross sections and the predictions of the semiclassical Weizäcker-Williams-Fermi(WWF) method. In this paper, the validity of the semiclassical approximation is examined. The total cross section for electromagnetic excitation of a nuclear target by a spinless projectile is calculated in first Born approximation, neglecting recoil. The final result is expressed in terms of correlation functions and convoluted densities in configuration space. The result agrees with the WWF approximation to leading order(unretarded electric dipole approximation), but the method allows an analytic evaluation of the cutoff, which is determined by the details of the electric dipole transition charge density. Using the Goldhaber-Teller model of that density, and uniform charge densities for both projectile and target, the cutoff is determined for the total cross section in the nonrelativistic limit, and found to be smaller than values currently used for ED calculations.In addition, cross sections are calculated using a phenomenological momentum space cutoff designed to model final state interactions. For moderate projectile energies, the calculated ED cross section is found to be smaller than the semiclassical result, in qualitative agreement with experiment.

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“…We end this section by noticing that from the point of view of other multipole expansion treatments, the toroidal moments can be viewed as electric multipoles induced by magnetization [15] or as retardation corrections to the Siegert theorem [16].…”

Section: Toroidal Multipolesmentioning

confidence: 99%

Toroidal quadrupole transitions associated with collective rotational-vibrational motions of the nucleus

Mișicu¹

1995

J. Phys. G: Nucl. Part. Phys.

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Toroidal quadrupole transitions associated to collective rotational-vibrational motions of the nucleus Abstract. In the frame of the collective model one computes the longitudinal, transverse and toroidal multipoles corresponding to the excitations of low-lying levels in the ground state band of several even-even nuclei by inelastic electron scattering (e, e ′ ). In connection with this transitions a new quantity, which accounts for the deviations from the Siegert theorem, is introduced in the frame of the Riemann Rotational Model with non-vanishing vorticity. Inelastic differential cross-sections calculated at backscattering angles shows the dominancy of toroidal form-factors over a broad range of momentum transfer

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Extended Siegert theorem

Cited by 59 publications

References 18 publications

Electroweak corrections to parity-violating neutral current scattering

Electroweak corrections to parity-violating neutral current scattering

Electromagnetic dissociation of nuclei in heavy-ion collisions

Toroidal quadrupole transitions associated with collective rotational-vibrational motions of the nucleus

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