Curvature effect on nuclear "pasta": Is it helpful for gyroid appearance?

Ken'ichiro Nakazato, Kei Iida, Kazuhiro Oyamatsu

研究成果: Contribution to journalArticle査読

15 被引用数 (Scopus)

抄録

In supernova cores and neutron star crusts, nuclei are thought to deform to rodlike and slablike shapes, which are often called nuclear pasta. We study the equilibrium properties of the nuclear pasta by using a liquid-drop model with curvature corrections. It is confirmed that the curvature effect acts to lower the transition densities between different shapes. We also examine the gyroid structure, which was recently suggested as a different type of nuclear pasta by analogy with the polymer systems. The gyroid structure investigated in this paper is approximately formulated as an extension of the periodic minimal surface whose mean curvature vanishes. In contrast to our expectations, we find, from the present approximate formulation, that the curvature corrections act to slightly disfavor the appearance of the gyroid structure. By comparing the energy corrections in the gyroid phase and the hypothetical phases composed of d-dimensional spheres, where d is a general dimensionality, we show that the gyroid is unlikely to belong to a family of the generalized dimensional spheres.

本文言語英語
論文番号065811
ジャーナルPhysical Review C - Nuclear Physics
83
6
DOI
出版ステータス出版済み - 6 15 2011

All Science Journal Classification (ASJC) codes

  • 核物理学および高エネルギー物理学

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