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

By P. D. B. Collins

ISBN-10: 0521110351

ISBN-13: 9780521110358

Initially released in 1977, this e-book provides a longer advent to the speculation of hadrons, the common debris which take place within the atomic nucleus. the most emphasis is at the concept of the advanced angular momentum aircraft 'Regge theory', which has grown from Regge's demonstration in 1959 that it's invaluable to treat angular momentum as a fancy variable while discussing ideas of the Schrodinger equation for non-relativistic capability scattering. This concept is helping to categorise the various assorted debris which were came across lately, to provide an explanation for the forces among those debris and to foretell the result of high-energy scattering experiments. Regge thought therefore serves as a unifying inspiration drawing jointly many alternative good points of high-energy physics. This monograph is meant basically for examine scholars simply commencing to challenge themselves with particle physics, yet more matured employees also will locate a lot to curiosity them during this exact survey of the fundamental rules and result of Regge idea.

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Example text

4). ^ttjnrl if we had taken t sufficiently negative these singularities would Overlap) We have drawn the branch cuts for the s-channel thresholds along C e r e a l axis towards Re{s}-> +00 (but slightly displaced for greater ••'••visibility), and the u singularities towards Re($)-s—00. Thus the sheet wo are looking at in fig. 1). )) ' where s ± s s ± ie, and the discontinuity is taken across all the cuts. We hare suppressed the third dependent variable in Ds and Du. 3) along the s branch cuts and Du = lm{A(s,t,u)} •along the « branch cuts.

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 ! 7) where

20) gjid we can write down similar expressions for the energies, momenta and Scattering angle of the particles in this channel. 4 that the four-line amplitude depends only on two independent invariants, so there must be a relation between s, t and it. 20) -we find s+f + « = mf + m| + m§+m| + 2m| + 2 ^ 1 . il3 'ta • t — 4m2 t— 4m? 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.

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

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