Effects of Nonlocality on Transfer Reactions

Abstract

We solved the nonlocal scattering and bound state equations using the Perey-Buck type interaction, and compared to local equivalent calculations. Using the distorted wave Born approximation we construct the T-matrix for (p,d) transfer on 17O, 41Ca, 49Ca, 127Sn, 133Sn, and 209Pb at 20 and 50 MeV. Additionally we studied (p,d) reactions on 40Ca using the the nonlocal dispersive optical model. We have also included nonlocality consistently into the adiabatic distorted wave approximation and have investigated the effects of nonlocality on on (d,p) transfer reactions for deuterons impinged on 16O, 40Ca, 48Ca, 126Sn, 132Sn, 208Pb at 10, 20, and 50 MeV. We found that for bound states the Perry corrected wave functions resulting from the local equation agreed well with that from the nonlocal equation in the interior region, but discrepancies were found in the surface and peripheral regions. Overall, the Perey correction factor was adequate for scattering states, with the exception for a few partial waves. Nonlocality in the proton scattering state reduced the amplitude of the wave function in the nuclear interior. The same was seen for nonlocality in the deuteron scattering state, but the wave function was also shifted outward. In distorted wave Born approximation studies of (p,d) reactions using the Perey-Buck potential, we found that transfer distributions at the first peak differed by 15-35% as compared to the distribution resulting from local potentials. When using the dispersive optical model, this discrepancies grew to 30-50%. When nonlocality was included consistently within the adiabatic distorted wave approximation, the disagreement was found to be ~40%. This highlights the necessity to pursue reaction formalisms that include nonlocality exactly.

References in corpus (20)

• FaCE: a tool for Three Body Faddeev calculations with core excitation
• Survey of ground state neutron Spectroscopic Factors from Li to Cr isotopes
• Single-neutron transfer from 11Be gs via the (p,d) reaction with a radioactive beam
• Halo nucleus Be-11: A spectroscopic study via neutron transfer
• A relation between proton and neutron asymptotic normalization coefficients for light mirror nuclei and its relevance to nuclear astrophysics
• Forging the link between nuclear reactions and nuclear structure
• Testing the continuum discretized coupled channel method for deuteron induced reactions
• Direct reaction measurements with a 132Sn radioactive ion beam
• Faddeev-type calculation of three-body nuclear reactions including core excitation
• Three-body direct nuclear reactions: Nonlocal optical potential
• Adiabatic versus Faddeev for (d,p) and (p,d) reactions
• Microscopic optical potential from chiral nuclear forces
• Explicit inclusion of nonlocality in (d,p) transfer reactions
• An isospin dependent global nucleon-nucleus optical model at intermediate energies
• Nonlocal extension of the dispersive-optical-model to describe data below the Fermi energy
• Asymptotic normalization coefficients for mirror virtual nucleon decays in a microscopic cluster model
• Rapid convergence of the Weinberg expansion of the deuteron stripping amplitude
• Transfer reactions and the dispersive optical-model
• Solution of the Schrödinger equation containing a Perey-Buck nonlocality
• Deducing spectroscopic factors from wave-function asymptotics