Curvature effect on nuclear pasta: Is it helpful for gyroid appearance - Nuclear TheoryReport as inadecuate




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Abstract: In supernova cores and neutron star crusts, nuclei are thought to deform torodlike and slablike shapes, which are often called nuclear pasta. We study theequilibrium properties of the nuclear pasta by using a liquid drop model withcurvature corrections. It is confirmed that the curvature effect acts to lowerthe transition densities between different shapes. We also examine the gyroidstructure, which was recently suggested as a different type of nuclear pasta byanalogy with the polymer systems. The gyroid structure investigated in thispaper is approximately formulated as an extension of the periodic minimalsurface whose mean curvature vanishes. In contrast to our expectations, we findfrom the present approximate formulation that the curvature corrections act toslightly disfavor the appearance of the gyroid structure. By comparing theenergy corrections in the gyroid phase and the hypothetical phases composed ofd-dimensional spheres, where d is a general dimensionality, we show that thegyroid is unlikely to belong to a family of the generalized dimensionalspheres.



Author: Ken'ichiro Nakazato, Kei Iida, Kazuhiro Oyamatsu

Source: https://arxiv.org/







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