Sensitivity of transfer cross sections to the bound-state wave functions

We test the sensitivity of transfer reactions to the bound state wave functions within a distorted wave Born approximation formalism. Using supersymmetric transformations, we remove the Pauli-forbidden states from the two-body potentials and generate an equivalent supersymmetric partner. Wave functi...

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Main Authors: Shubhchintak, P. Descouvemont
Format: Article
Language:English
Published: Elsevier 2020-12-01
Series:Physics Letters B
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269320306778
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spelling doaj-3c732e0b0dfa4b24b7758def84b3a0012020-12-09T04:14:16ZengElsevierPhysics Letters B0370-26932020-12-01811135874Sensitivity of transfer cross sections to the bound-state wave functions Shubhchintak0P. Descouvemont1Corresponding author.; Physique Nucléaire Théorique et Physique Mathématique, C. P. 229, Université Libre de Bruxelles (ULB), B 1050 Brussels, BelgiumPhysique Nucléaire Théorique et Physique Mathématique, C. P. 229, Université Libre de Bruxelles (ULB), B 1050 Brussels, BelgiumWe test the sensitivity of transfer reactions to the bound state wave functions within a distorted wave Born approximation formalism. Using supersymmetric transformations, we remove the Pauli-forbidden states from the two-body potentials and generate an equivalent supersymmetric partner. Wave functions from these potentials have the same asymptotics, but they differ in the nuclear interior. This allows us to study the influence of the nuclear interior on transfer cross sections. We apply the calculations to the O16(d,p)17O and C12(7Li, t)16O reactions, which are typical examples of nucleon and α transfer, respectively. The spectroscopic factors for 17O are decreased by about 30% when using supersymmetric potentials. For 16O, the differences are smaller. However, we show that ambiguities exist in the determination of the spectroscopic factors, due to the choice of the angular range where the fit is performed.http://www.sciencedirect.com/science/article/pii/S0370269320306778Transfer reactionsSupersymmetric potentialsDWBA
collection DOAJ
language English
format Article
sources DOAJ
author Shubhchintak
P. Descouvemont
spellingShingle Shubhchintak
P. Descouvemont
Sensitivity of transfer cross sections to the bound-state wave functions
Physics Letters B
Transfer reactions
Supersymmetric potentials
DWBA
author_facet Shubhchintak
P. Descouvemont
author_sort Shubhchintak
title Sensitivity of transfer cross sections to the bound-state wave functions
title_short Sensitivity of transfer cross sections to the bound-state wave functions
title_full Sensitivity of transfer cross sections to the bound-state wave functions
title_fullStr Sensitivity of transfer cross sections to the bound-state wave functions
title_full_unstemmed Sensitivity of transfer cross sections to the bound-state wave functions
title_sort sensitivity of transfer cross sections to the bound-state wave functions
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2020-12-01
description We test the sensitivity of transfer reactions to the bound state wave functions within a distorted wave Born approximation formalism. Using supersymmetric transformations, we remove the Pauli-forbidden states from the two-body potentials and generate an equivalent supersymmetric partner. Wave functions from these potentials have the same asymptotics, but they differ in the nuclear interior. This allows us to study the influence of the nuclear interior on transfer cross sections. We apply the calculations to the O16(d,p)17O and C12(7Li, t)16O reactions, which are typical examples of nucleon and α transfer, respectively. The spectroscopic factors for 17O are decreased by about 30% when using supersymmetric potentials. For 16O, the differences are smaller. However, we show that ambiguities exist in the determination of the spectroscopic factors, due to the choice of the angular range where the fit is performed.
topic Transfer reactions
Supersymmetric potentials
DWBA
url http://www.sciencedirect.com/science/article/pii/S0370269320306778
work_keys_str_mv AT shubhchintak sensitivityoftransfercrosssectionstotheboundstatewavefunctions
AT pdescouvemont sensitivityoftransfercrosssectionstotheboundstatewavefunctions
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