Abstract
The spatial distribution of the nuclear density (or the nuclear single-particle potential) can be roughly approximated by a uniform sphere with a sharp surface and a volume proportional to the number of nucleons. When this simplest approach is generalized to include other shapes and a diffuse surface the mathematical difficulties associated with calculating various properties of these distributions can become formidable. Indeed, the subject forms the basis of this book. In Chap. 4 many examples of spherically symmetric distributions with diffuse surfaces are considered. In Chaps. 5 through 10 a wide variety of other shapes are considered but only for uniform distributions with a sharp surface. It is not widely appreciated that a uniform distribution can conveniently be generalized to one with a diffuse surface by folding into it a suitable short ranged function.
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© 1988 Springer-Verlag Berlin Heidelberg
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Hasse, R.W., Myers, W.D. (1988). Folded Distributions. In: Geometrical Relationships of Macroscopic Nuclear Physics. Springer Series in Nuclear and Particle Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83017-4_3
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DOI: https://doi.org/10.1007/978-3-642-83017-4_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83019-8
Online ISBN: 978-3-642-83017-4
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