Microscopic effective reaction theory for deuteron-induced reactions

Abstract

The microscopic effective reaction theory is applied to deuteron-induced reactions. A reaction model-space characterized by a p + n + A three-body model is adopted, where A is the target nucleus, and the nucleon-target potential is described by a microscopic folding model based on an effective nucleon-nucleon interaction in nuclear medium and a one-body nuclear density of A. The three-body scattering wave function in the model space is obtained with the continuum-discretized coupled-channels method (CDCC), and the eikonal reaction theory (ERT), an extension of CDCC, is applied to the calculation of neutron removal cross sections. Elastic scattering cross sections of deuteron on 58 Ni and 208 Pb target nuclei at several energies are compared with experimental data. The total reaction cross sections and the neutron removal cross sections at 56 MeV on 14 target nuclei are calculated and compared with experimental values.

Analysis of empirical parametrization and microscopical studies of deuteron-induced reactions

“…These energy dependencies of the measured f p BU are satisfactorily described by the empirical parametrization. The microscopic results at 25 MeV [15] show almost constant f p BU for the whole A interval analyzed, while at 56 MeV [14,15] show a steep decrease for target nuclei from A=12 up to A∼120, apart from the data, while for A>120 their underestimated values are obvious.…”

“…The comparison of the measured σ p BU at 15, 25.5, 56, 70, and 80 MeV deuteron energies and for target nuclei from 12 C to 232 Th [13], with (i) the above parametrization as well as the microscopic cross sections obtained in the frame of (ii) the CDCC extension of the eikonal reaction theory (ERT), using microscopic optical potentials by Neoh et al [14], and (iii) distorted wave Born approximation (DWBA) method with post form interaction and zero-range approach by Carlson et al [15], is shown in Fig. 3 (a-d).…”

“…Comparison of the mass dependence of measured (solid circle, �, �, �, ▽)[13] total BU proton-emission cross sections (top) and fractions (bottom) with the predictions of the microscopic eikonal model[14] (×), DWBA formalism[15] ( * ), and of the empirical parametrization (+)[12], connected by dashed lines for eye guiding, for target nuclei from 12 C up to 209 Bi, at the incident energies of 15, 25.5, 56, 70, and 80 MeV.…”

“…The recently increased interest on the theoretical analysis of the breakup components [14,15] may lead eventually to the refinement of the deuteron breakup empirical parametrization and increased accuracy of the deuteron activation cross section calculations.…”

Deuteron breakup by 40Сa nuclei at 56 MeV energy

“…Зазначимо, що розглядаючи поле ядра-мішені лише кулонівським, інтеграл (10) можна отримати в аналітичному вигляді [3]. При одночасному врахуванні ядерної та кулонівської взаємодії амплітуду переходу (10) в аналітичному вигляді отримати доволі складно і тому при розрахунках необхідно використовувати наближені методи.…”