The Skyrme Tensor Force in Heavy Ion Collisions

Abstract

Background: [elided for arXiv character count] Purpose: With the advancement of computational power it is now possible to undertake TDHF calculations without any symmetry assumptions and incorporate the major strides made by the nuclear structure community in improving the energy density functionals used in these calculations. In particular, time-odd and tensor terms in these functionals are naturally present during the dynamical evolution, while being absent or minimally important for most static calculations. The parameters of these terms are determined by the requirement of Galilean invariance or local gauge invariance but their significance for the reaction dynamics have not been fully studied. This work addresses this question with emphasis on the tensor force. Method: The full version of the Skyrme force, including terms arising only from the Skyrme tensor force, is applied to the study of collisions within a completely symmetry-unrestricted TDHF implementation. Results: We examine the effect on fusion thresholds with and without the tensor force terms and find an effect on the fusion threshold energy of the order several MeV. Details of the distribution of the energy within terms in the energy density functional is also discussed. Conclusions: Terms in the energy density functional linked to the tensor force can play a non-negligible role in dynamic processes in nuclei, including those in which the terms do not affect ground state properties.

6 pages

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Cited by in corpus (28)

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• Low-Energy Heavy-Ion Reactions and the Skyrme Effective Interaction
• Microscopic studies of production cross sections in multinucleon transfer reaction ${}^{58}$Ni+${}^{124}$Sn
• The Role of Tensor Force in Heavy-Ion Fusion Dynamics
• Enhanced nucleon transfer in tip collisions of ${}^{238}$U+${}^{124}$Sn
• Isotopic trends of quasifission and fusion-fission in the reactions ${}^{48}$Ca+${}^{239,244}$Pu
• Production of proton-rich nuclei in the vicinity of 100Sn via multinucleon transfer reactions
• Connecting the nuclear EoS to the interplay between fusion and quasifission processes in low-energy nuclear reactions
• Cluster formation in pre-compound nuclei in the time-dependent framework
• Absence of hindrance in microscopic ${}^{12}$C+${}^{12}$C fusion study
• The influence of tensor force on the microscopic heavy-ion interaction potential
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• Impact of tensor force on quantum shell effects in quasifission reactions
• Dynamical effects of spin-dependent interactions in low- and intermediate-energy heavy-ion reactions
• Microscopic study on fusion reactions ${}^{40,48}\mathrm{Ca}+{}^{78}\mathrm{Ni}$ and the effect of tensor force
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Effects of the tensor force on low-energy heavy-ion fusion reactions: A mini review
• Spin dynamics in intermediate-energy heavy-ion collisions with rigorous angular momentum conservation
• An implementation of nuclear time-dependent density-functional theory and its application to the nuclear isovector electric dipole resonance
• Nuclear ground states in a consistent implementation of the time-dependent density matrix approach
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• Impact of octupole correlation on the inverse quasifission in ${}^{160}\text{Gd}+{}^{186}\text{W}$ collisions
• Microscopic quasifission dynamics of the ${}^{54}\text{Cr}+{}^{243}\text{Am}$ reaction
• The Quest for Superheavy Nuclei: A Theoretical Perspective
• Shapes and Dynamics from the Time-Dependent Mean Field
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