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

By P. D. B. Collins

Initially released in 1977, this publication provides a longer creation to the speculation of hadrons, the common debris which happen within the atomic nucleus. the most emphasis is at the idea of the complicated angular momentum aircraft 'Regge theory', which has grown from Regge's demonstration in 1959 that it really is helpful to treat angular momentum as a posh variable while discussing options of the Schrodinger equation for non-relativistic capability scattering. This concept is helping to categorise the various diverse debris that have been chanced on in recent times, to provide an explanation for the forces among those debris and to foretell the result of high-energy scattering experiments. Regge conception hence serves as a unifying idea drawing jointly many various positive factors of high-energy physics. This monograph is meant essentially for examine scholars simply commencing to crisis themselves with particle physics, yet more matured staff also will locate a lot to curiosity them during this specific survey of the elemental principles and result of Regge idea.

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E. 13) using (Magnus and Oberhettinger (1949) p. 26) at high energies. The relationship between the higher order terms of the two series is more complicated (see Jochain and Quigg 1974) because for real potentials the eikonal series contains alternating real and imaginary terms, while in general all the terms of the Born series (except the first) are complex. But in the large k, fixed K, limit the two series agree. Thus the eikonal series can he regarded as an approximation to the sum of ladder diagrams (fig.

We shall also consider some generalizations in chapter 10. 5 the only singularities which appear on the physical sheet are believed to be the poles corresponding to stable particles, and the threshold branch points. Thus, if we consider equal-mass scattering, and if we hold t fixed at some small, real, negative value (see fig. 5) in the s plane we find the singularities shown in fig. 7. On the right-hand side, for Re{s} > 0, we have the •s-channel bound-state pole and the various s-channel thresholds.

10) where t) is an arbitrary polynomial in s of degree n— 1, but now the integral converges if ,De(s, t) s71^, e > 0. Thus the divergence problem is solved at the expense of introducing an arbitrary polynomial which is not determined (at least directly) by the unitarity 32 THE S A T T E I N G MATRIX equations. One of the main purposes of Regge theory is to close this gap by determining the subtractions. A particularly useful form of these dispersion relations is for forward elastic scattering, such as nN-^nN, at t = 0 where u = 27—s.

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