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

Ken'ichiro Nakazato, Kei Iida, Kazuhiro Oyamatsu

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number065811
JournalPhysical Review C - Nuclear Physics
Volume83
Issue number6
DOIs
Publication statusPublished - Jun 15 2011

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curvature
minimal surfaces
neutron stars
supernovae
crusts
formulations
stars
nuclei
polymers
energy

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Curvature effect on nuclear "pasta" : Is it helpful for gyroid appearance? / Nakazato, Ken'ichiro; Iida, Kei; Oyamatsu, Kazuhiro.

In: Physical Review C - Nuclear Physics, Vol. 83, No. 6, 065811, 15.06.2011.

Research output: Contribution to journalArticle

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