Developments in the phenomenology of two-to-three particle reactions Page: 19 of 50
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A zero of A is generated at well defined values of ti and t2.
We now select the specific dissociation process pp + p(ni+) at 100 GeV/c
in order to specify parameters. For small values of Mm+, the typical value
of v is /s77 and s12 ~ s. Thus, the elastic scattering parameters
B1 = 4.5 (GeV/c)-2 and B3 = 5.5 (GeV/c)-2 are reasonable, with onp = 38 mb =
98 GeV-2. Because these parameters are taken directly from measured elastic
and total cross-section data, the dip positions we calculate for do/dt cM,
and the slopes are absolute predictions. In Figs. 10 and 11, and Table I, I
compare results obtained from our unabsorbed and absorbed models for pp -- p(n+)
at 100 GeV/c. The same apply to np + (pi-)p.
7.2. The Momentun Transfer Distribution
The mst dramatic effect of absorption is observed in the momentum
transfer distribution do/d-i dt for production of the low-mass diffractive
enhancement. I select the mrss value W = 1.3 GeV because this corresponds
roughly to the center of the peak in mass generated by the model. In the
unabsorbed model, Fig. 10(a), do/dt1 falls roughly exponentially, whereas
in the absorbed nodel, Fig. 10(b), a prioanced break structure is observed
near jtj = 0.4 (GeV/c)2. This structure is caused by the cancellation
between A0 and Aabs in Eq. (31).
Near the threshold value M = (N + i), da/dt M shows a pronounced
dip near Iti = 0.3 (GeV/c)2 in the model. This dip gradually transforms
into the break structure seen in Fig. 10(b). Perceptible structure disappears
altogether at higher M. These results agree at least qualitatively with
We decomposed our full amplitude for the process pp -+ Mp into partial
arplitudes for each of the angular momentum and helicity states which con-
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Berger, E.L. Developments in the phenomenology of two-to-three particle reactions, report, July 1, 1975; Illinois. (https://digital.library.unt.edu/ark:/67531/metadc880533/m1/19/: accessed June 19, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.