Explicit inclusion of nonlocality in (d,p) transfer reactions

Abstract

Background: Traditionally, nucleon-nucleus optical potentials are made local for convenience. In recent work we studied the effects of including nonlocal interactions explicitly in the final state for (d,p) reactions, within the distorted wave Born approximation. Purpose: Our goal in this work is to develop an improved formalism for nonlocal interactions that includes deuteron breakup and to use it to study the effects of including nonlocal interactions in transfer (d,p) reactions, in both the deuteron and the proton channel. Method: We extend the finite-range adiabatic distorted wave approximation to include nonlocal nucleon optical potentials. We apply our method to (d,p) reactions on 16O, 40Ca, 48Ca, 126Sn, 132Sn, and 208Pb at 10, 20 and 50 MeV. Results: We find that nonlocality in the deuteron scattering state reduces the amplitude of the wave function in the nuclear interior, and shifts the wave function outward. In many cases, this has the effect of increasing the transfer cross section at the first peak of the angular distributions. This increase was most significant for heavy targets and for reactions at high energies. Conclusions: Our systematic study shows that, if only local optical potentials are used in the analysis of experimental (d,p) transfer cross sections, the extracted spectroscopic factors may be incorrect by up to 40% due to the local approximation.

arXiv comment12 pages, 6 figures

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Cited by in corpus (27)

• Optical potential from first principles
• Optical potentials for the rare-isotope beam era
• Recent advances in the quantification of uncertainties in reaction theory
• Transfer reaction code with nonlocal interactions
• Uncertainty quantification due to optical potentials in models for (d,p) reactions
• Energy dependence of non-local potentials
• Implications for (d,p) reaction theory from nonlocal dispersive optical model analysis of ${}^{40}$Ca(d,p)${}^{41}$Ca
• Examining the effect of nonlocality in $(d,n)$ transfer reactions
• Reduced sensitivity of the $(d,p)$ cross sections to the deuteron model beyond adiabatic approximation
• Nonlocal nucleon-nucleus interactions in (d,p) reactions: Role of the deuteron D-state
• Effects of nonlocality of nuclear potentials on direct capture reactions
• Asymmetry dependence of Gogny based optical potential
• Prediction of (p,n) Charge-Exchange Reactions with Uncertainty Quantification
• The complete quantification of parametric uncertainties in (d,p) transfer reactions
• Non-local interactions in the $(d,p)$ surrogate method for $(n,\gamma )$ reactions
• Effects of an induced three-body force in the incident channel of (d,p) reactions
• Nonlocal optical potential with core excitation in ${}^{10}\mathrm{Be}(d,p){}^{11}\mathrm{Be}$ and ${}^{11}\mathrm{Be}(p,d){}^{10}\mathrm{Be}$ reactions
• Evidence for L-dependence generated by channel coupling: O16 scattering from C12 at 115.9 Mev
• Study of nonlocality effects in direct capture reactions with Lagrange-mesh $R$-matrix method
• Perey-effect in Continuum-Discretized Coupled-Channel description of $(d,p)$ reactions
• Renormalization group evolution of optical potentials: explorations using a toy model
• Three-body problem with velocity-dependent optical potentials: a case of $(d,p)$ reactions
• Calculation of three-body nuclear reactions with angular-momentum and parity-dependent optical potentials
• Considering non-locality in the optical potentials within eikonal models
• Properties of a separable representation of optical potentials
• Effects of Nonlocality on Transfer Reactions
• Coupled-cluster computations of optical potential for medium-mass nuclei