An Introduction to Regge Theory and High Energy Physics by P. D. B. Collins

By P. D. B. Collins

Initially released in 1977, this publication provides a longer creation to the speculation of hadrons, the straight forward debris which happen within the atomic nucleus. the most emphasis is at the idea of the advanced angular momentum airplane 'Regge theory', which has grown from Regge's demonstration in 1959 that it truly is necessary to treat angular momentum as a posh variable while discussing strategies of the Schrodinger equation for non-relativistic strength scattering. This concept is helping to categorise the various varied debris that have been came across lately, to give an explanation for the forces among those debris and to foretell the result of high-energy scattering experiments. Regge idea therefore serves as a unifying notion drawing jointly many various positive aspects of high-energy physics. This monograph is meant essentially for examine scholars simply commencing to predicament themselves with particle physics, yet more matured employees also will locate a lot to curiosity them during this distinct survey of the elemental rules and result of Regge concept.

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1) THE 2 -> 2 AMPLITUDE p i p s ; 19 [J 3 '1 (tt) , (5) i S («) R e . 1). will share the same scattering amplitude, but the pairs of channels labelled s, t and u will occupy different regions of the variables. si2)> V* = q&% being the three-momentum, equal but opposite for the two particles. 3) Since the initial and final states involve only free particles the massshell constraints must be satisfied: Pi = = ml) : We define the invariant « = (Pi+i'a)11 = (P3+Pi)s \ f 1 7 K % which is the square of the total centre-of-mass energy for the A-channel processes.

V- 5 r e - -© £ \ y FIG. 7 (a) The physical-sheet singularities in s for fixed I {E= 4M3). (6) The integration contour in the complex s plane, expanded to infinity but enclosing the outs and poles on the real axis. where the integral is evaluated over any closed anti-clockwise contour in the complex s plane enclosing the point s such that •/)(«, t,u) is regular (holomorphie) inside and on that contour (fig. 7(6)). 6) the contribution from the circle at infinity will vanish, and we end up with M L + M i + i mP — S TtP — U 77- r A { S i t !

3) M f{r) = elkri>(r) * This section may be omitted at first reading. 1) THE EIKONAL EXPANSION 45 whore

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