Rapid convergence of the Weinberg expansion of the deuteron stripping amplitude

Abstract

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 CDCC 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 \nuc{132}{Sn}(d,p)\nuc{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.

6 pages, 4 figures, Physical Review C - Accepted

References in corpus (5)

• Three-body description of direct nuclear reactions: Comparison with the continuum discretized coupled channels method
• Testing the continuum discretized coupled channel method for deuteron induced reactions
• Direct reaction measurements with a 132Sn radioactive ion beam
• Migration of nuclear shell gaps studied in the d(24Ne,p gamma)25Ne reaction
• Benchmark on neutron capture extracted from $(d,p)$ reactions

Cited by in corpus (13)

• Coupled-channels calculations for nuclear reactions: from exotic nuclei to superheavy elements
• Explicit inclusion of nonlocality in (d,p) transfer reactions
• Adiabatic model of $(d,p)$ reactions with explicitly energy-dependent non-local potentials
• Sensitivity of (d,p) reactions to high n-p momenta and the consequences for nuclear spectroscopy studies
• Implications for (d,p) reaction theory from nonlocal dispersive optical model analysis of ${}^{40}$Ca(d,p)${}^{41}$Ca
• Nonlocal nucleon-nucleus interactions in (d,p) reactions: Role of the deuteron D-state
• Reduced sensitivity of the $(d,p)$ cross sections to the deuteron model beyond adiabatic approximation
• Surface-integral formalism of deuteron stripping
• Effects of an induced three-body force in the incident channel of (d,p) reactions
• Elastic scattering and total reaction cross sections of ${}^6$Li studied with a microscopic continuum discretized coupled channels model
• Reaction Theory and Advanced CDCC
• Effects of Nonlocality on Transfer Reactions
• Perturbative correction to the adiabatic approximation for $(d,p)$ reactions