Deuteron Optical-Model Analysis in the Range of 11 to 27 MeV

Abstract

Deuteron elastic scattering angular distributions are analyzed using a simple optical model without spin-orbit potentials. Discrete valleys in the parameter space of the model are found to give a very good description of the data. Two of these regions are used to analyze 52 angular distributions measured for target nuclei with Z>12 and deuteron energies in the range of 11 to 27 MeV, with particular emphasis on data at energies of 11.8,15, and 21.6 MeV. In order to determine the trends of the optical-model parameters as a function of mass number and energy, four different sets of geometrical parameters are used, and only the well depths, real and imaginary, are varied to obtain a best fit to the experimental data. The real well depths show a smooth linear increase as a function of the Coulomb parameter Z/A llz and a smooth linear decrease as a function of energy. The imaginary well depths show fairly large fluctuations from element to element but no systematic trend as a function of mass number. For all four sets of parameters, the imaginary well depth decreases rapidly for bombarding energies from 11 to 14 MeV and then increases slowly for energies from 15 to 27 MeV.

Analytical transformed harmonic oscillator basis for continuum discretized coupled channels calculations

“…For the 2n-208 Pb interaction we used the d- 208 Pb potential generated with the global parametrization of Perey and Perey [42], whereas for the α + 208 Pb interaction we took the optical potential of Barnett and Lilley [43]. The coupled equations were integrated up to a radius of 100 fm and for total angular momenta up to J max = 100.…”

Low energy deuteron elastic scattering on light and medium nuclei

“…The deuteron elastic-scattering experiments on Al, Fe, Cu and Nb isotopes, at incident energies lower than 20 MeV, are not satisfactorily described by any of the phenomenological well-known OMPs of either Perey and Perey [9], Lohr and Haeberli [10], Daehnick et al [11], or Bojowald et al [12] as well as the recent analyses [13]. Moreover, the analysis of the low-energy elastic scattering data suffers from discrete and continuous ambiguities in the OMP parameters, whose uncertainties vary for various target nuclei and for different incident energies due to the precision of data analyzed.…”

Spectroscopy ofGd153andGd157using theRoss1, Hughes2, Allmond3 et al. 2014Phys. Rev. C

“…The optical-model parameters used in calculating the (p,d) angular distributions. These parameters were obtained from references [33,34]. Notation used is in accordance with the notation of reference [35].…”