Role of multi-phonon and high-spin states on the quasi-elastic barrier distributions of massive systems

Back-angle quasi-elastic (QE) scattering provides critical barrier information in massive nuclear reactions leading to the synthesis of superheavy nuclei. The shapes and peaks of QE barrier distributions serve as fingerprints of nuclear structures and reaction dynamics. Couplings to collective movem...

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Main Authors: P.W. Wen, O. Chuluunbaatar, P. Descouvemont, A.A. Gusev, C.J. Lin, S.I. Vinitsky
Format: Article
Language:English
Published: Elsevier 2025-04-01
Series:Physics Letters B
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Online Access:http://www.sciencedirect.com/science/article/pii/S0370269325001431
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author P.W. Wen
O. Chuluunbaatar
P. Descouvemont
A.A. Gusev
C.J. Lin
S.I. Vinitsky
author_facet P.W. Wen
O. Chuluunbaatar
P. Descouvemont
A.A. Gusev
C.J. Lin
S.I. Vinitsky
author_sort P.W. Wen
collection DOAJ
description Back-angle quasi-elastic (QE) scattering provides critical barrier information in massive nuclear reactions leading to the synthesis of superheavy nuclei. The shapes and peaks of QE barrier distributions serve as fingerprints of nuclear structures and reaction dynamics. Couplings to collective movements can lead to distinctive peaks in the barrier distributions, but the role of multi-phonon and high-spin states has not been thoroughly investigated. In this work, we extend the high-accuracy R-matrix method and the finite element method to solve coupled-channel equations for massive systems. These two methods are demonstrated to be more stable than the widely used modified Numerov method and allows us to include more vibrational and rotational couplings. Using the reactions Ti48+Pb208 and V51+248Cm as examples, calculations show that multi-phonon and high-spin states significantly smooth the barrier distributions, improving the agreement with experimental data. The comparison between the coupled-channel results and those obtained from the orientation average formula is examined. This work can advance the study of superheavy element synthesis by providing reliable barrier information and capture cross sections based on constraints from QE reactions.
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spelling doaj-art-684a00dbb1fa47c49bd8b71d65857a902025-08-20T03:42:41ZengElsevierPhysics Letters B0370-26932025-04-0186313938310.1016/j.physletb.2025.139383Role of multi-phonon and high-spin states on the quasi-elastic barrier distributions of massive systemsP.W. Wen0O. Chuluunbaatar1P. Descouvemont2A.A. Gusev3C.J. Lin4S.I. Vinitsky5China Institute of Atomic Energy, 102413 Beijing, ChinaJoint Institute for Nuclear Research, Dubna, 141980 Moscow region, Russia; Institute of Mathematics and Digital Technology, Mongolian Academy of Sciences, 13330 Ulaanbaatar, Mongolia; School of Applied Sciences, Mongolian University of Science and Technology, Ulaanbaatar 14191, Mongolia; Corresponding authors.Département de Physique, CP229, Université Libre de Bruxelles (ULB), B1050 Brussels, Belgium; Corresponding authors.Joint Institute for Nuclear Research, Dubna, 141980 Moscow region, Russia; School of Applied Sciences, Mongolian University of Science and Technology, Ulaanbaatar 14191, Mongolia; Dubna State University, 141980 Dubna, RussiaChina Institute of Atomic Energy, 102413 Beijing, China; College of Physics and Technology & Guangxi Key Laboratory of Nuclear Physics and Technology, Guangxi Normal University, 541004 Guilin, China; Corresponding authors.Joint Institute for Nuclear Research, Dubna, 141980 Moscow region, Russia; Peoples' Friendship University of Russia (RUDN University), 117198, 6 Miklukho-Maklaya St, Moscow, RussiaBack-angle quasi-elastic (QE) scattering provides critical barrier information in massive nuclear reactions leading to the synthesis of superheavy nuclei. The shapes and peaks of QE barrier distributions serve as fingerprints of nuclear structures and reaction dynamics. Couplings to collective movements can lead to distinctive peaks in the barrier distributions, but the role of multi-phonon and high-spin states has not been thoroughly investigated. In this work, we extend the high-accuracy R-matrix method and the finite element method to solve coupled-channel equations for massive systems. These two methods are demonstrated to be more stable than the widely used modified Numerov method and allows us to include more vibrational and rotational couplings. Using the reactions Ti48+Pb208 and V51+248Cm as examples, calculations show that multi-phonon and high-spin states significantly smooth the barrier distributions, improving the agreement with experimental data. The comparison between the coupled-channel results and those obtained from the orientation average formula is examined. This work can advance the study of superheavy element synthesis by providing reliable barrier information and capture cross sections based on constraints from QE reactions.http://www.sciencedirect.com/science/article/pii/S0370269325001431Quasi-elastic reactionBarrier distributionCoupled-channel equationRotational coupling
spellingShingle P.W. Wen
O. Chuluunbaatar
P. Descouvemont
A.A. Gusev
C.J. Lin
S.I. Vinitsky
Role of multi-phonon and high-spin states on the quasi-elastic barrier distributions of massive systems
Physics Letters B
Quasi-elastic reaction
Barrier distribution
Coupled-channel equation
Rotational coupling
title Role of multi-phonon and high-spin states on the quasi-elastic barrier distributions of massive systems
title_full Role of multi-phonon and high-spin states on the quasi-elastic barrier distributions of massive systems
title_fullStr Role of multi-phonon and high-spin states on the quasi-elastic barrier distributions of massive systems
title_full_unstemmed Role of multi-phonon and high-spin states on the quasi-elastic barrier distributions of massive systems
title_short Role of multi-phonon and high-spin states on the quasi-elastic barrier distributions of massive systems
title_sort role of multi phonon and high spin states on the quasi elastic barrier distributions of massive systems
topic Quasi-elastic reaction
Barrier distribution
Coupled-channel equation
Rotational coupling
url http://www.sciencedirect.com/science/article/pii/S0370269325001431
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