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Shape analysis of clusterized neutron rich matter

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Abstract

In this contribution a method for mathematically modelling clusterized nuclear matter shapes is presented. To describe shapes each cluster surface is considered as a function of spherical coordinates \({(r, \theta, \phi)}\) on the unit sphere. We present an efficient approach to describe this shape function by the coefficients of a spherical harmonics expansion. Any (square-integrable) function on the unit sphere can be expanded in this manner and therefore the same methodology can be applied to enhance the description by including other observable properties such as the moment of inertia and root mean square radius of nuclear clusters.

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Authors and Affiliations

  1. Department of Fundamental Physics and IUFFyM, University of Salamanca, Plaza de la Merced s/n, Salamanca, 37008, Spain

    M. Ángeles Pérez-García

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  1. M. Ángeles Pérez-García
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Correspondence to M. Ángeles Pérez-García.

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Pérez-García, M.Á. Shape analysis of clusterized neutron rich matter. J Math Chem 48, 21–27 (2010). https://doi.org/10.1007/s10910-009-9608-3

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  • DOI: https://doi.org/10.1007/s10910-009-9608-3

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