Deformed tensor interactions in deuteron elastic and inelastic scattering

Abstract

The various forms of tensor potentials present in deuteron elastic and inelastic scattering on a deformed target nucleus are derived using a folding model for the deuteron-nucleus interaction. Approximate expressions for the radial dependence of the deformed tensor interactions parametrized with the derivatives of Woods-Saxon potentials are obtained and discussed for the case of a rotational nucleus.

Determination of the asymptoticD- toS-state ratio of the triton from sub-Coulomb (d→,t) reactions

“…[18], we have attempted to establish a simple procedure for generating the UTR parameters in a consistent way. We follow here the prescription of Santos [31]. Neglecting the contribution of the Coulomb force to the nucleon-nucleus potentials, he proposed that the tensor interaction part of the OM potential be calculated as…”

Nuclear quadrupole-quadrupole interaction in the inelastic scattering of aligned deuterons from deformed nuclei

“…This may be understood from the fact that the radial formfactor of this transition dominates over the others in the region of the nuclear surface (see Fig.2 of Ref. [13]). In addition, while the radial formfactors for 2=0 and 2 are very similar to each other in the nuclear surface region, the corresponding coupling coefficients s in (3) have approximately opposite values and cause therefore strong cancellations between both terms.…”

“…Equation (i) is an extension of the folding expression (Eq. (10) in [13] and Eqs. (7c) and (10) in [6]) replacing the central nucleon scattering potentials by the deuteron scattering potential; it accounts in a phenomenological way for break up and higher order terms.…”

“…For a more detailled treatment, where the folding procedure over the deformed nucleon-nucleus potentials has been carried out explicitly we refer to the work of Santos [13]. Unlike the simplified derivation given above Santos receives radial dependences for Fr, which differ in detail from the expressions above and depend also on the multipolarity 2.…”

“…The quadrupole-quadrupole interaction is described by means of a deformed tensor potential. The formalism has been derived by Santos [13] on the basis of the folding concept. A simplified expression may easily be obtained from (1) by replacing U~(r) with a deformed central potential U~(r, R).…”