<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Δ</mml:mi></mml:math>contribution to the paramagnetic polarizability of the proton

Mukhopadhyay, Nimai C.; Nathan, Alan M.; Zhang, L.

doi:10.1103/physrevd.47.r7

Cited by 28 publications

(34 citation statements)

References 18 publications

(16 reference statements)

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“…On the one hand, it should be pointed out that such a data point, equal to (13.1 ± 1.6) × 10 −4 fm 3 , is in fair agreement with the value obtained in Ref. [20] by using the experimental data on pion photoproduction. On the other hand, following the analysis of Refs.…”

Section: The Paramagnetic Polarizabilitysupporting

confidence: 91%

“…In particular, we have formally derived Lorentz covariant expressions for the reduced multipoles of the residual part of the Compton tensor (see Eqs. (20) and (21)). These multipoles determine the generalized polarizabilities in the limit of vanishing real-photon energy.…”

Section: Discussionmentioning

confidence: 94%

“…(20) and (21) exhibit the required Lorentz covariance, obtained by the decomposition of the em current operator into spherical tensors which transform irreducibly under the Lorentz group. The main result is that the geometrical and kinematical aspects can be completely factored into the 6-j and 9-j symbols and the Lorentz transformation coefficients given by the tensors T K k and O K k , while the dynamical content is summarized into the Lorentz invariant reduced matrix elements of the em current.…”

Section: General Formalismmentioning

confidence: 99%

“…Eqs. (20) and (21)) and the transition form factors evaluated within a relativistic CQ model [12]; dotted line: the non-relativistic CQ model of Ref. [7]; dot-dashed line: the effective Lagrangian model of Ref.…”

Section: Acknowledgmentmentioning

confidence: 99%

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Nucleon generalized polarizabilities within a relativistic constituent quark model

Pasquini

Salmè

1998

Phys. Rev. C

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Nucleon generalized polarizabilities are investigated within a relativistic framework, defining such quantities through a Lorentz covariant multipole expansion of the amplitude for virtual Compton scattering. The key physical ingredients in the calculation of the nucleon polarizabilities are the Lorentz invariant reduced matrix elements of the electromagnetic transition current, which can be evaluated from off-energy-shell helicity amplitudes. The evolution of the proton paramagnetic polarizability, β para (q), as a function of the virtual-photon three-momentum transfer q, is explicitly evaluated within a relativistic constituent quark model by adopting transition form factors obtained in the light-front formalism. The discussion is focussed on the role played by the effects due to the relativistic approach and to the transition form factors, derived within different models.

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Section: The Paramagnetic Polarizabilitysupporting

confidence: 91%

Section: Discussionmentioning

confidence: 94%

Section: General Formalismmentioning

confidence: 99%

Section: Acknowledgmentmentioning

confidence: 99%

See 2 more Smart Citations

Nucleon generalized polarizabilities within a relativistic constituent quark model

Pasquini

Salmè

1998

Phys. Rev. C

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“…Although the evidence shows [20] that the nucleon-A transition dominates the paramagnetic polarizability, it might not be the only source for the paramagnetic polarizability. If the Roper resonance P11(1440) [13,21] is assumed to be a hybrid baryon, in which the gluonic degrees of freedom play a more active role in the spectroscopy, the M 1 transition between the nucleon and the Roper resonance P , , ( 1440) as well as other hybrid states which belongs to the same hybrid 70 representation will contribute to the paramagnetic polarizability as well.…”

Section: The Polarizabilities Of the Nucleonmentioning

confidence: 94%

Compton scattering and polarizabilities of the nucleon in the quark model

1993

Phys. Rev. D

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In this paper, we present a framework to calculate the amplitude of Compton scattering in the quark model; the Thomson limit and the Low energy theorem are satisfied explicitly. We find that there is a relativistic correction to the electric polarizability of the nucleon if the Low energy theorem is satisfied. The analytical expressions for the nucleon polarizabilities are derived, and their connections with the transition amplitudes between the resonances and nucleon are discussed. We suggest that the forward peaking in the Compton scattering may be due to the kinematics of the process in which the incoming and outgoing photons are absorbed and emitted by the same constituents.

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Aspects of nucleon Compton scattering

Bernard

Kaiser

Meißner

et al. 1994

Z. Physik A - Hadrons and Nuclei

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We consider the spin-averaged nucleon forward Compton scattering amplitude in heavy baryon chiral perturbation theory including all terms to order O(q 4 ). The chiral prediction for the spin-averaged forward Compton scattering amplitude is in good agreement with the data for photon energies ω ≤ 110 MeV. We also evaluate the nucleon electric and magnetic Compton polarizabilities to this order and discuss the uncertainties of the various counter terms entering the chiral expansion of these quantities.

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Δcontribution to the paramagnetic polarizability of the proton

Cited by 28 publications

References 18 publications

Nucleon generalized polarizabilities within a relativistic constituent quark model

Nucleon generalized polarizabilities within a relativistic constituent quark model

Compton scattering and polarizabilities of the nucleon in the quark model

Aspects of nucleon Compton scattering

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