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Lorentz contracted geometrical model

Krisch, A. D.

Krisch, A. D.

1973-04-02

Citation:Krisch, A. D. (1973/04/02)."Lorentz contracted geometrical model." Physics Letters B 44(1): 71-75. <http://hdl.handle.net/2027.42/33897>

Abstract: The model assumes that when two high energy particles collide each behaves as a geometrical object which has a Gaussian density and is spherically symmetric except for the Lorentz-contraction in the incident direction. Folding the two spatial distribution together we obtain the slope (b) of the elastic diffraction peak in terms of the c.m. velocities ([beta]i and [beta]j) and the sizes (Ai and Aj) of the two incident particles. These sizes are assumed to have the experimental s-dependence of [sigma]tot [is proportial to] [pi]A2 for each reaction. The combined s-dependence of the [sigma]tot's and the [beta]'s gives the s-dependence of the elastic slope . This formula agrees with the experimental slope for p-p, -p, K+-p, K--p and [pi]+/--p elastic scattering from 3 to 1500 GeV/c, with only 3 parameters: A[pi]2 = 6.1, AK2 = 3.3 and Ap2 = 10.5 (GeV/c)-2.