Isoscalar transition rates from folding model analyses of (?, ??) scattering

Abstract

Abstract. The folding model approach has been used for extracting isoscalar mass transition rates from inelastic ~-particle scattering cross sections. The procedure is demonstrated by several cases based on measurements at E~ = 104 MeV. Some implications of the method and the significance of the size and shape information of the results are discussed.

Nuclear matter sizes and isoscalar octupole transition rates of204,206,208Pb from 104 MeV ?-particle scattering

“…In connection with SaxonWoods imaginary potentials (proc. A.3) the central densities and the diffuseness take acceptable values, whereas one finds comparably large central densities and diffuseness values when setting UiocU R. This dependence of Pm on the treatment of U, already has been observed in a-particle scattering analyses of light : and medium heavy target nuclei [10,14]. Although the slope of the nucleon densities obtained by procedures A.2 to A.4 agree rather well at r ~ 8 fm (Fig.…”

“…The energy dependent "renormalization" parameter 2 g was phenomenologically determined to be 2 R = 0.996 by studies of elastic e-particle scattering from light nuclei, particularly from 4~ [4,10]. Exchange effects play a minor role Alternatively, we used the procedure proposed by Bernstein [8] assuming the imaginary part of the optical potential to be proportional to the real one with a free normalization factor 2i:…”

The density dependence of the effective alpha-nucleon force and isoscalar transition rates of nuclei

“…is able to resolve this discrepancy and reproduces the correct value of Jv within a few percent. In fact the density independent effective interaction applied in [1] and [17] has been adjusted by elastic forward scattering on 4~ thus effectively averaging over the density dependence in the sensitive region. This is a consequence of the increased importance of the nuclear surface in inelastic scattering.…”