Reexamining closed-form formulae for inclusive breakup: Application to deuteron- and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi mathvariant="normal">Li</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>-induced reactions

Lei, Jin; Moro, A. M.

doi:10.1103/physrevc.92.044616

Cited by 85 publications

(63 citation statements)

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“…[8,9] and has been also recently revisited by several authors [2,3,5,6]. We outline here the main results of this model and refer the reader to these references for further details on their derivations.…”

Section: The Ichimura Austern and Vincent (Iav) Modelmentioning

confidence: 89%

“…Thus, B * denotes any final state of the x + A system. This process will be described with the effective Hamiltonian (2) where K is the total kinetic energy operator, V bx is the interaction binding the two clusters b and x in the initial composite nucleus a, H A (ξ ) is the Hamiltonian of the target nucleus (with ξ denoting its internal coordinates), and V xA and U bA are the fragment-target interactions. The relevant coordinates are depicted in Fig.…”

Section: The Ichimura Austern and Vincent (Iav) Modelmentioning

confidence: 99%

“…The IAV model has been recently revisited by several groups [2,5,6]. All the calculations performed so far by these groups make use of the DWBA approximation for the incoming wave function.…”

Section: The Ichimura Austern and Vincent (Iav) Modelmentioning

confidence: 99%

“…[5,6], the theory was applied to deuteron-induced reactions of the form A(d,pX), and in Ref. [2] the model was extended to 6 Li projectiles, presenting a first application to the 209 Bi( 6 Li,αX) reaction. In general, the agreement with the data has been found to be very encouraging, although further comparisons with experimental data are advisable to better assess the validity and understand the limitations of the model.…”

Section: The Ichimura Austern and Vincent (Iav) Modelmentioning

confidence: 99%

“…When one is only interested in the evaluation of the singles' cross section (for example, the energy or angular distribution of α particles), rather than on the separate contributing mechanisms, one may resort to the inclusive breakup models proposed in the 1980s and recently reexamined by several groups [2][3][4][5][6]. In these models, the sum over all the possible final states through which the unobserved fragment d may interact with the target is done in a formal way, making use of the Feshbach projection formalism [7] and closure.…”

Section: Introductionmentioning

confidence: 99%

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Comprehensive analysis of large α yields observed in Li6 -induced reactions

Lei

Moro

2017

Phys. Rev. C

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Background: Large α yields have been reported over the years in reactions with 6 Li and 7 Li projectiles. Previous theoretical analyses have shown that the elastic breakup (EBU) mechanism (i.e., projectile breakup leaving the target in its ground state) is able to account only for a small fraction of the total α-inclusive breakup cross sections, pointing toward the dominance of nonelastic breakup (NEB) mechanisms. Purpose: We aim to provide a systematic study of the α-inclusive cross sections observed in nuclear reactions induced by 6 Li projectiles. In addition to estimating the total α singles' cross sections, it is our goal to evaluate angular and energy distributions of these α particles and compare them with experimental data, when available. Method: We compute separately the EBU and NEB components of the inclusive breakup cross sections. For the former, we use the continuum-discretized coupled-channels (CDCC) method, which treats this mechanism to all orders. For the NEB part, we employ the model proposed by Ichimura et al. [Phys. Rev. C 32, 431 (1985)], within the distorted-wave Born approximation (DWBA). Results: Overall, the sum of the computed EBU and NEB cross sections is found to reproduce very well the measured singles' cross sections. In all cases analyzed, we find that the inclusive breakup cross section is largely dominated by the NEB component. Conclusions:The presented method provides a global and systematic description of inclusive breakup reactions induced by 6 Li projectiles. It provides also a natural explanation of the previously observed underestimation of the measured α yields by CDCC calculations. The method used here can be extended to other weakly bound projectiles, including halo nuclei.

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