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Titlebook: Geometrical Relationships of Macroscopic Nuclear Physics; Rainer W. Hasse,William D. Myers Book 1988 Springer-Verlag Berlin Heidelberg 198

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楼主: 小天使
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Small Deformations,Formulae in this chapter refer to series expansions and, hence, are only valid approximately, if convergent, unless otherwise noted. Here and in the following, (., ., .) are spherical coordinates, .(.) or .(., .) are the surface functions, P.(cos .) is the Legendre polynomial and Y.(., .)are the spherical harmonics.
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Large Deformations,Let . = . be half the length of the shape and z = ., . = . (.) be the dimensionless z-coordinate and the axially symmetric shape function in cylindrical coordinates, respectively, then the relevant quantities are calculated from multiple integrals (if not otherwise noted, integrals run from − . to + .). In the natural units of Chap. 1,
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Separated Shapes,Qualitative calculations of fission or heavy ion scattering properties often involve a configuration of two tangent spheres. In simplifying the dumbbell-parameterization of Sect. 7.4.2 one arrives at the one-parameter family of shapes . where ., . are the radii of the . and . spheres.
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Edible Medicinal and Non Medicinal Plantsa 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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Medium- and High-Energy Nuclear Collisions,ritten as . where . is the differential element for summing over the values of the impact parameter 6, and . is the differential element for summing over the projections of the target and projectile density distributions on the .-. plane normal to the beam direction.
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