Theories of (d, p) reactions frequently use a formalism based on a transition amplitude that is dominated by the components of the total three-body scattering wave function where the spatial separation between the incoming neutron and proton is confined by the range of the n-p interaction, V np . By comparison with calculations based on the continuum discretized coupled channels method we show that the (d, p) transition amplitude is dominated by the first term of the expansion of the three-body wave function in a complete set of Weinberg states. We use the 132 Sn(d, p) 133 Sn reaction at 30 and 100 MeV as examples of contemporary interest. The generality of this observed dominance and its implications for future theoretical developments are discussed.

For6 Li scattering from 12 C at five laboratory energies from 90 to 318 MeV, we study the dynamic polarization potential, DPP, due to the breakup of the projectile. The breakup is evaluated using standard continuum discretized coupled-channels formalism applied to a two-body cluster model of the projectile. The DPP is evaluated over a wide radial range using both direct S-matrix-to-potential inversion and trivially equivalent local potential methods which yield substantially and systematically different results. The radius at which the real DPP changes from external repulsion to interior attraction varies systematically with energy. This should be experimentally testable because, according to notch tests, this crossover radius is within a radial range to which elastic scattering should be sensitive. The imaginary DPP has an emissive (generative) region at the lower energies; this may be associated with counterintuitive properties of |S L |.

Background: The ratio method has been developed to improve the study of one-neutron halo nuclei through reactions. By taking the ratio of angular distributions for two processes, viz. breakup and elastic scattering, this new observable is nearly independent of the reaction mechanism and hence much more sensitive to the projectile structure than the cross sections for each single process.Purpose: We study the extension of the ratio method to proton-rich nuclei. We also explore the optimum experimental conditions for measuring this new observable. Method:We compare accurate dynamical calculations of reactions for proton-rich projectiles to the prediction of the ratio method. We use the dynamical eikonal approximation that provides good results for this kind of reactions at intermediate energy.Results: Our tests for 8 B, an archetypical one-proton halo nucleus, on Pb, Ni, and C targets at 44 MeV/nucleon show that the method can be extended to proton-rich nuclei. The sensitivity of the ratio observable to the singleparticle structure of the projectile is studied in detail. The method is not affected if energy ranges-or bins-are considered in the projectile continuum. This makes the ratio easier to measure experimentally by increasing the breakup cross section. Light elements provide the optimal targets to exploit this observable in practice. We also extend our analysis to 17 F, 25 Al, and 27 P, whose study is of interest to both nuclear astrophysics and nuclear structure.Conclusions: We show that, albeit less precise than for one-neutron halo nuclei, the ratio method can be extended to proton-rich nuclei and that it provides valuable information about their structure. It is especially accurate for nuclei with a valence proton loosely bound in an s or p orbital, i.e. for one-proton halo nuclei.

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A set of global optical potential parameters describing the A = 3 particles ( 3 He and 3 H) elastic scattering from 1p-shell nuclei, HT1p, is obtained by simultaneously fitting 118 sets of experimental data of 3 He and 3 H elastic scattering from 9 Be, 10 B, 11 B, 12 C, 13 C, which is a systematic potential designed for the heavy-target region, in reproduction of the angular distributions of elastic scattering cross sections of 3 He and 3 H from 1p-shell nuclei at energies below 100 MeV. At energies above 100 MeV, GDP08 is found to be better than HT1p.