How the Pauli exclusion principle affects fusion of atomic nuclei

Abstract

The Pauli exclusion principle induces a repulsion between composite systems of identical fermions such as colliding atomic nuclei. Our goal is to study how heavy-ion fusion is impacted by this "Pauli repulsion". We propose a new microscopic approach, the density-constrained frozen Hartree-Fock method, to compute the bare potential including the Pauli exclusion principle exactly. Pauli repulsion is shown to be important inside the barrier radius and increases with the charge product of the nuclei. Its main effect is to reduce tunnelling probability. Pauli repulsion is part of the solution to the long-standing deep sub-barrier fusion hindrance problem.

5 pages, 1 figure

References in corpus (13)

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Cited by in corpus (14)

• TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review
• Recent experimental results in sub- and near-barrier heavy ion fusion reactions
• Coupled-channels calculations for nuclear reactions: from exotic nuclei to superheavy elements
• Enhanced nucleon transfer in tip collisions of ${}^{238}$U+${}^{124}$Sn
• Time-dependent Hartree-Fock plus Langevin approach for hot fusion reactions to synthesize the $Z=120$ superheavy element
• Production of proton-rich nuclei in the vicinity of 100Sn via multinucleon transfer reactions
• Microscopic study of the compound nucleus formation in cold-fusion reactions
• Microscopic study on fusion reactions ${}^{40,48}\mathrm{Ca}+{}^{78}\mathrm{Ni}$ and the effect of tensor force
• Microscopic description of the torque acting on fission fragments
• Imaginary Time Mean-Field Method for Collective Tunneling
• Effects of the tensor force on low-energy heavy-ion fusion reactions: A mini review
• Effect of Pauli repulsion and transfer on fusion
• Potential energy surface and formation of superheavy nuclei with the Skyrme energy-density functional
• Pauli energy contribution to nucleus-nucleus interaction