The relativistic impulse approximation for the exclusive electrodisintegration of the deuteron
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NUCLEI Theory
The Relativistic Impulse Approximation for the Exclusive Electrodisintegration of the Deuteron* S. G. Bondarenko** , V. V. Burov, E. P. Rogochaya, and A. A. Goy1) Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980 Russia Received December 13, 2006; in final form, March 9, 2007
Abstract—The electrodisintegration of the deuteron in the framework of the Bethe–Salpeter approach with a separable kernel of the nucleon–nucleon interaction is considered. This conception keeps the covariance of a description of the process. The reaction is investigated within the relativistic plane-wave impulse approximation. When the photon–neutron interaction is neglected, the factorization of the cross section into photon–proton and spectator parts is demonstrated. The calculations performed for the cases both with and without the photon–neutron interaction show that the neutron plays an important role. The comparison of the results of relativistic and nonrelativistic descriptions is presented. PACS numbers: 25.30.Dh DOI: 10.1134/S1063778807120071
1. INTRODUCTION The study of static and dynamic electromagnetic properties of light nuclei allows deeper understanding of the nature of strong interactions and, in particular, nucleon–nucleon (N N ) interactions. The deuteron as a two-nucleon system is the simplest object for the N N -interaction investigation. The first experimental data, obtained in the 1960s [1], were satisfactorily described in the framework of the nonrelativistic formalism. But when the precision of experiments and energies of particles taking part in the reaction increased, nonrelativistic models failed. So it became clear that relativistic effects (which a priori are very important at large transfer momenta) have to be taken into consideration. In addition, the extraction of information about the structure of bound nucleons from experiments with light nuclei requires one to take into account relativistic kinematics of the reaction and dynamics of the interaction. Thus, the construction of a covariant approach and detailed analysis of relativistic effects in electromagnetic reactions with light nuclei are very important. It cannot be performed in a nonrelativistic description. This understanding is an additional reason for construction of a relativistic approach. The electrodisintegration of the deuteron at the threshold has been of interest for a long time [2–7]. ∗
The text was submitted by the authors in English. Far Eastern National University, Vladivostok, Russia. ** E-mail: [email protected] 1)
The reason is that electrodisintegration is an essential instrument for study of the structure of a two-nucleon system. First of all is the electromagnetic structure. The deuteron has been used as a neutron target to get information about neutron electromagnetic form factors. During the last 20 years, it has also been used to get constraints on available realistic N N potentials. Analyzing the electrodisintegration process, we can clarify the role of nonnucleonic degrees of freedom. The deuteron i
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