Repulsive aspects of pairing correlation in nuclear fusion reaction

Shuichiro Ebata; Takashi Nakatsukasa

Repulsive aspects of pairing correlation in nuclear fusion reaction

Nuclear Theory 2014-08-12 v1

Authors: Shuichiro Ebata , Takashi Nakatsukasa

Abstract

Numerical simulation on nuclear collisions are performed using the canonical-basis time-dependent Hartree-Fock-Bogoliubov theory (Cb-TDHFB) in the three-dimensional coordinate space. Comparing results of the Cb-TDHFB and the conventional time-dependent Hartree-Fock (TDHF) calculations, we study effects of the pairing correlation on fusion reaction of $^{22}$ O+ $^{22}$ O, $^{52}$ Ca+ $^{52}$ Ca, and $^{22}$ O+ $^{52}$ Ca, using the Skyrme SkM $^*$ functional and a contact-type pairing energy functional. Although current results are yet preliminary, they may suggest that the pairing correlation could hinder the fusion probability at energies in the vicinity of the Coulomb barrier height. We also perform a calculation for heavier nuclei, $^{96}$ Zn+ $^{124}$ Sn, which seems to suggest a similar hindrance effect.

Keywords

nuclear fusion pairing correlation time-dependent Hartree-Fock-Bogoliubov Cb-TDHFB Coulomb barrier Skyrme functional

Cite

@article{arxiv.1408.2495,
  title  = {Repulsive aspects of pairing correlation in nuclear fusion reaction},
  author = {Shuichiro Ebata and Takashi Nakatsukasa},
  journal= {arXiv preprint arXiv:1408.2495},
  year   = {2014}
}

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Advances in Radioactive Isotope Science (ARIS2014) conference proceedings, 6 page, 3 figures

Repulsive aspects of pairing correlation in nuclear fusion reaction

Abstract

Keywords

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