Inclusive breakup reactions

Austern, N.; Vincent, C. M.

doi:10.1103/physrevc.23.1847

Cited by 47 publications

(33 citation statements)

References 13 publications

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“…In terms of direct reaction mechanisms, this process can be seen as inelastic breakup followed by fusion, or neutron transfer to the continuum. Significant theoretical effort took place in the eighties with the main idea being first introduced by Kerman and McVoy [3], with the works of Udagawa and Tamura [4] and Austern and Vincent [5] appearing shortly after. In [4] the authors assume the process A(d,p)B * is a two step process, first breakup of the deuteron followed by fusion of the neutron.…”

Section: Introductionmentioning

confidence: 99%

“…They describe this in distorted wave Born approximation in prior form and make a number of additional approximations (we will denote this theory as UT). In [5], the starting point is the post-form distorted wave Born approximation, and the authors assume that the target gets excited only by the neutron-target interaction (we will denote this theory as AV). One difficulty in this method is the convergence of the matrix element.…”

Section: Introductionmentioning

confidence: 99%

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Establishing a theory for deuteron-induced surrogate reactions

2015

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Background: Deuteron induced reactions serve as surrogates for neutron capture into compound states. Although these reactions are of great applicability, no theoretical efforts have been invested in this direction over the last decade. Purpose: The goal of this work is to establish on firm grounds a theory for deuteron induced neutron capture reactions. This includes formulating elastic and inelastic breakup in a consistent manner. Method: We describe this process both in post and prior form distorted wave Born approximation following previous works and discuss the differences in the formulation. While the convergence issues arising in the post formulation can be overcome in the prior formulation, in this case one still needs to take into account additional terms due to non-orthogonality. Results: We apply our method to the 93 Nb(d,p)X at E d =15 MeV and 25 MeV, and are able to obtain a good description of the data. We look at the various partial wave contributions, as well as elastic versus inelastic contributions. We also connect our formulation with transfer to neutron bound states.Conclusions: Our calculations demonstrate that the non-orthogonality term arising in the prior formulation is significant and is at the heart of the long-standing controversy between the post and the prior formulations of the theory. We also show that the cross sections for these reactions are angular momentum dependent and therefore the commonly used Weisskopf limit is inadequate. Finally we make important predictions for the relative contributions of elastic breakup and non-elastic breakup, and call for elastic breakup measurements to further constrain our model.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Establishing a theory for deuteron-induced surrogate reactions

2015

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“…This includes the elastic scattering of x + A, which corresponds to the EBU, and non-elastic x+A scattering, which gives rise to the NEB processes defined above. In [2], Udagawa and Tamura described this problem in the prior form DWBA formalism, whereas Austern and Vincent used the post form [3]. The later was refined by Kasano and Ichimura [4], who found a formal separation between EBU and NEB contributions.…”

Section: Introductionmentioning

confidence: 99%

“…The problem of calculating inclusive breakup cross sections was studied in 1980s by Pampus et al [1], with the works of Udagawa and Tamura [2] and Austern and Vincent [3] appearing later. In [1][2][3], the authors considered the reactions in which the projectile is broken up into two fragments.…”

Section: Introductionmentioning

confidence: 99%