The analysis of proton- and deuteron-induced-reaction cross sections on tin isotopes at the beam energy of 3.65 GeV/nucl
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ELEMENTARY PARTICLES AND FIELDS Theory
The Analysis of Proton- and Deuteron-Induced-Reaction Cross Sections on Tin Isotopes at the Beam Energy of 3.65 GeV/Nucleon∗ A. R. Balabekyan1)** , N. A. Demekhina2)*** , V. M. Zhamkochyan1)**** , and G. S. Karapetyan3)***** Received February 7, 2013; in final form, May 8, 2013
Abstract—The total inelastic cross sections of the reactions of protons and deuterons on nuclear targets of enriched tin isotopes are compared. The factorization of cross sections of reactions is discussed. Furthermore, the comparison of theoretical estimations on total inelastic cross sections with corresponding experimental ones is made. DOI: 10.1134/S1063778814010037
1. INTRODUCTION
of reactions induced by protons and deuterons on enriched tin isotopes.
In recent years, there has been a considerable interest in the study of high energy proton–nucleus and nucleus–nucleus collisions. It has been suggested that such interactions, in addition to extending our knowledge of nuclear reactions, might also shed some light on the fundamental questions of nuclear physics.
2. EXPERIMENTAL SETUP AND DISCUSSION The experiments were conducted on the Nuclotron of JINR [3, 4]. The targets of enriched tin isotopes (112 Sn, 118 Sn, 120 Sn, and 124 Sn) were irradiated with the extracted deuteron beam accelerator. For the study of cross sections the method of induced activity was used. Characteristic gamma spectra were measured on high-purity germanium detectors. The energy of proton and deuteron beams was 3.65 GeV/nucleon. On average, 90 residual nuclei were obtained from each target. The systematization was conducted using 10-parametric formula [5]:
The interest in the study of spallation reactions has been revived primarily by the advent of new projects in nuclear technology, in particular by investigations on the accelerator-driven subcritical nuclear power reactors. It is becoming increasingly evident that, besides having a rigid theoretical background, the scientists in charge of these projects need to have comprehensive information concerning the properties of the spallation reactions. It is assumed that of special interest might be to know how these properties vary with the parameters of the collision. Currently there are a number of theoretical descriptions of interaction of high-energy particles with nuclei. The standard INC + evaporation model describes well the spallation reactions in the wide range of energy of projectile [1]. Likewise, the Glauber model [2] also provides quite a sufficient description of the inelastic scattering of high-energy particles on atomic nuclei. The goal of this paper is to study the reaction mechanism by comparing the total inelastic cross sections
σ(Z, A) = exp(a1 + a2 A + a3 A2 + a4 A3
(1)
+ (a5 + a6 A + a7 A )|Zp − Z| ), 2
a8
where Zp = a9 A + a10 A2 is the most probable charge at the given mass number A. The parameters a1 , a2 , a3 , a4 determine the shape of the mass curve, the parameters a5 , a6 , a7 determine the width of the charge dispersion curve and the parameter
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