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

By P. D. B. Collins

ISBN-10: 0521110351

ISBN-13: 9780521110358

Initially released in 1977, this booklet provides a longer advent to the idea of hadrons, the trouble-free debris which happen within the atomic nucleus. the most emphasis is at the thought of the complicated angular momentum airplane 'Regge theory', which has grown from Regge's demonstration in 1959 that it truly is invaluable to treat angular momentum as a fancy variable while discussing options of the Schrodinger equation for non-relativistic power scattering. This idea is helping to categorise the numerous various debris which were found in recent times, to provide an explanation for the forces among those debris and to foretell the result of high-energy scattering experiments. Regge concept therefore serves as a unifying proposal drawing jointly many alternative good points of high-energy physics. This monograph is meant essentially for examine scholars simply commencing to problem 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 thought.

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Extra resources for An Introduction to Regge Theory and High Energy Physics

Example text

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. ^ where the dot denotes a four-vector product.

Jpg. e. the threshold for the process) and — 1 ^ cos Qs ^ 1. 24), we also ^ 4>(s,f) = 4 f g f l s 2 ! 26) and so (s, t) = 0 gives the boundaries of the physical regions for the s, t and u channels. 24) reduces to stu - 0, so the boundaries are just the lines s = 0, t = 0 and u = 0. For unequal masses the boundary curves become asymptotic to these lines. Some examples are shown in fig. 21). The various singularities may also be plotted on the Mandelstam diagram. s, torn, — im2, and further thresholds at 9m 2 ,16m 2 etc.

21), and so atfixed positive s these will appear at negative t values (see fig. 5). 8 (a) Hie contribution of i-channel intermediate states to the s-channel • two-body unitary equation. (&) The 1 box' diagram, the simplest diagram eon- Jjtitbuting to pst(s, t). iitself. (*»») = g «-)). 2) j'^The boundary functions & lj2 (s) are given by the position of the singularity of the lowest order diagram which contributes to p, usually the Hsox diagram fig. 8 (6). 3) i ibr equal-mass kinematics, giving the boundaries shown in fig.

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

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