Lorentz contracted geometrical model |
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Authors: | AD Krisch |
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Institution: | Randall Laboratory of Physics, University of Michigan, Ann Arbor, Michigan 48104, USA |
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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 (βi and βj) and the sizes (Ai and Aj) of the two incident particles. These sizes are assumed to have the experimental s-dependence of σtot ∝ πA2 for each reaction. The combined s-dependence of the σtot's and the β'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 π±-p elastic scattering from 3 to 1500 GeV/c, with only 3 parameters: Aπ2 = 6.1, AK2 = 3.3 and Ap2 = 10.5 (GeV/c)?2. |
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