Deuteron structure and diffractive deuteron-nucleus interaction
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CLEI Theory
Deuteron Structure and Diffractive Deuteron–Nucleus Interaction Yu. A. Berezhnoy, V. Yu. Korda* , and A. G. Gakh Institute of Electrophysics and Radiation Technologies, National Academy of Sciences of Ukraine, Kharkov, Ukraine Received November 17, 2005
Abstract—A nonrelativistic deuteron wave function involving the D-wave state and having a correct asymptotic behavior is constructed on the basis of the experimentally measured deuteron charge form factor GC (q) and deuteron structure function A(q). The differential cross section for elastic deuteron– nucleus scattering is calculated by using this wave function and is found to agree with experimental data at an energy of 110 MeV. Integrated cross sections for various processes involving deuteron–nucleus interactions are also calculated. The distribution in the emission angle of the center of mass of the neutron– proton system produced in the diffractive dissociation of 110-MeV deuterons in the field of 208 Pb nuclei is obtained. PACS numbers : 24.10.-i, 24.50.+g DOI: 10.1134/S1063778806060056
1. INTRODUCTION In quantum mechanics, the problem of a bound state of two bodies is solved exactly for the wellknown case of Coulomb interaction (hydrogen atom). However, a similar problem in nuclear physics (deuteron) is much more complicated, because nuclear forces between two nucleons are not known precisely at the present time. Moreover, nuclear forces depend on particle spins; further, the nucleon consists of three quarks, whence it follows that the nucleon– nucleon interaction is not elementary. To some extent, it is similar to van der Waals forces between atoms. In solving deuteron problems, use is therefore generally made of various phenomenological nucleon–nucleon interaction potentials reproducing only the main features of the interaction of nucleons [1–5]. On the other hand, present-day nuclear physics possesses vast information about nuclear structure from analysis of experimental data on the scattering of various particles by nuclei. In particular, investigation of electron and proton scattering by nuclei is an important source of information about nuclear form factors, differential cross sections, and the charge and matter density distributions in nuclei. Therefore, there is a reliable basis for constructing various models of nuclei and phenomenological nuclear wave functions. The deuteron electromagnetic form factors measured experimentally to a fairly high degree of precision [6–14] can be used to determine the deuteron wave functions. As is well known, the deuteron *
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ground state is a superposition of the 3 S- and 3 D-wave states, while the corresponding wave function is the sum of the respective S- and D-wave functions. In order to determine these components of the deuteron wave function, one can use the charge and quadrupole form factors of the deuteron. The asymptotic behavior of the S-state wave function must be determined by the deuteron binding energy. Generally, the intrinsic structure of nucleons is not taken into
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