Abstract
This chapter deals with Complex Angular Momentum. The analytic continuation of partial-wave analysis of scattering amplitudes to complex scattering angles is related to the Lehmann Ellipses, leading to the large-l asymptotic behaviour of the partial-wave amplitudes. This in turn determines the convergence of partial-wave expansions for complex scattering angles. The next significant step involves analytic continuation to complex angular momenta. The conditions for such continuations is discussed in depth. The role of the Mandelstam representation in this context is also clarified. A critical analysis is presented of the Sommerfeld-Watson transform. The Regge Poles are then introduced. The physical significance of Regge poles both for bound states and resonances on the one hand, and to asymptotic behaviour of scattering amplitudes at very high energies on the other, is lucidly explained.
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Hari Dass, N.D. (2023). In the Land of Complex Angular Momentum. In: Strings to Strings. Lecture Notes in Physics, vol 1018. Springer, Cham. https://doi.org/10.1007/978-3-031-35358-1_13
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DOI: https://doi.org/10.1007/978-3-031-35358-1_13
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