A method is proposed for calculating elastic and inelastic three-particle scattering amplitudes in the breakup region using a coordinate-space variational approach, with each coordinate multiplied by a complex phase factor. The trial wave functions have relatively simple asymptotic forms. The method applies to short-range potentials analytic in coordinate space. A numerical example indicates that the method works well for two-particle scattering.
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This book is dedicated with love to my wife Helen, my daughterAllyson, my son David, and my daughter Lisa.As with its predecessor, "Fundamentals and Applications of Complex Analysis," this book is also dedicated to the memory of Dr. Charles Pine, who provided the academic nurturing I needed when I first discovered the beauty of mathematics and its applications to scientific problems.
We present an approximate solution to the Bethe-Salpeter equation. It retains the attractive features of the Blankenbecler-Sugar approximation, while improving upon their results. For one-particle-exchange interactions, there is 110 increase in calculatio~lal difficulty with this technique.
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