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WHY ARE SOME NUCLEI SPHERICAL?

Krishna Kumar

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Abstract

Energy minimization is not sufficient to determine whether a nucleus is spherical or deformed. The quantal zero-point motion can make a nucleus spherical even if the potential energy has a deformed minimum. However, some general conditions give deformed shape as the natural state of atomic nuclei. They are spherical only under some special conditions. Some general criteria for distinguishing spherical nuclei from deformed, as well as some advantages of using a deformed-shell model rather than a spherical-shell model, are presented.

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What this paper is about

Energy minimization is not sufficient to determine whether a nucleus is spherical or deformed. The quantal zero-point motion can make a nucleus spherical even if the potential energy has a deformed minimum. However, some general conditions give deformed shape as the natural state of atomic nuclei. They are spherical only under some special conditions. Some general criteria for distinguishing spherical nuclei from deformed, as well as some advantages of using a deformed-shell model rather than a spherical-shell model, are presented.

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Available abstract

Energy minimization is not sufficient to determine whether a nucleus is spherical or deformed. The quantal zero-point motion can make a nucleus spherical even if the potential energy has a deformed minimum. However, some general conditions give deformed shape as the natural state of atomic nuclei. They are spherical only under some special conditions. Some general criteria for distinguishing spherical nuclei from deformed, as well as some advantages of using a deformed-shell model rather than a spherical-shell model, are presented.

Key concepts: Spherical shell, Physics, Spherical model, Nucleus, Atomic nucleus, Spherical coordinate system, Shell (structure), Point (geometry)

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