Electromagnetic polarizability of the bound nucleon: Kinematic effects

L'vov, A.I.; Schumacher, Martin

doi:10.1016/0375-9474(92)90645-Z

Electromagnetic polarizability of the bound nucleon: Kinematic effects

A.I. L'vov
(
- Lebedev Inst.
)
,
Martin Schumacher
(
- Gottingen U.
)

1992

24 pages

Published in:

Nucl.Phys.A 548 (1992) 613-636

Published: 1992

DOI:

10.1016/0375-9474(92)90645-Z

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Abstract: (Elsevier)

Kinematic effects due to binding have been studied for the electric and magnetic polarizabilities of the nucleon within a nonrelativistic quark model. A specific unitary transformation of the model hamiltonian has been applied to disentangle nucleon and quark degress of freedom. It is shown that the naive guess of a vanishing or modification of the recoil diamagnetism β rec = −〈 D 2 〉/2 M for the bound nucleon is not correct. Instead, the same total magnetic polarizability β is shown to appear for the free and bound nucleon in the energy shift of the nucleon under the action of a static homogeneous magnetic field, as well as in the amplitude of αA scattering. The corresponding result can be formulated as a generalized low-energy theorem for Compton scattering by the bound nucleon. This results agrees also with the findings of a recent αA-scattering experiment carried out to study the polarizability of the bound nucleon. Generalization taking into account higher multipoles and ω-dependent terms in the polarizabilities are also provided.

photon nucleus: Compton scattering
Compton scattering: photon nucleus
quark: nonrelativistic
scattering amplitude
nucleon: polarizability
polarizability: electric
polarizability: magnetic
Hamiltonian formalism
kinematics: effect

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