Developments in the phenomenology of two-to-three particle reactions Page: 17 of 50
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A loop integral must be done to evaluate At. After some uninspiring
algebra and integrating to remove two mass-shell delta fmctions, consistently
dropping correction terns of order (Ma*,//), we obtain
A = f d2qA 1(s2,t3) k(s.t ,ti,s ,s) (20)
t3 = -(21)
tl = tl - (4-2 + 2q - P1T) (22)
t = t2 - X (q% - 2q3 p ) (23)
x ~2Lp' = 2L/r (24)
s = s + q2 (1 - ) +2T (25)
The two-dimensional transverse vectors plT and P2 are the transverse
components of the nmenta of final state particles p and a , respectively;
p2L is the center of nss logitudinal component of a . The Eq. (20)
rather general, independent of the specific choices for AO and A6 made
We substitute Eqs. (16) and (18) into Eq. (20), and we define a new
variable for convenience:
*P2 + B 3 p1T (26)
++ 1 +
After minor algebraic manipulations and a change of integration variables,
ue perform an angular integration analytically. The result is a one dimensional
integral expression for At.
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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/m1/17/: accessed June 25, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.