Relativistic Calculations for Photonuclear Reactions (II). Nonrelativistic reductions and nuclear medium effects

Abstract

The relativistic amplitude for the direct knock-out contribution to $\left(\gamma ,p\right)$ 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.

LaTeX, 31 pages including 5 uuencoded figures in eps files. Accepted for publication in Nuclear Physics A

References in corpus (2)

• Nuclear Medium Effects in the Relativistic Treatment of Quasifree Electron Scattering
• Effective Hamiltonians with Relativistic Corrections I: The Foldy--Wouthuysen transformation versus the direct Pauli reduction

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