Abstract
The classical nonrelativistic phase-space integral for fixed energy, momentum, angular momentum and center of mass is evaluated for large particle numbers by means of the central limit theorem of statistics. The problem is treated covariantly with respect to all transformations of the Galilei group. As result we get Ωs as function of the invariants corresponding to the c.m.s. energy E0 and angular momentumL 0 in the formΩ s (E 0,L 0 2 )=Ω s (E 0)F(L 0 2 ,E,0).Ω(E 0) is the well-known phase-space at fixed energy, momentum and center of mass, andF(E 0,L 0 2 =[3/4πmR 2 E 0]3/2 exp[-(3L 0 2 /4mR 2 E 0)] is a normalized probability density for the angular momentum L 0 2 .
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