Diagonalization of the integral equation for multiperipheral dynamics at vanishing values of the momentum transfer

✍ Scribed by A.H Mueller; I.J Muzinich

• Book ID: 102987675
• Publisher: Elsevier Science
• Year: 1970
• Tongue: English
• Weight: 801 KB
• Volume: 57
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(70)90267-8

✦ Synopsis

The elegant equation written down by Chew and De Tar, for multiperipheral dynamics at zero-momentum transfer, is diagonalized using the expansion theorems for the amplitude in terms of the SO(3, 1) and SO(2,l) groups, respectively. Extensive use is made of the techniques developed by M. Toller. This paper completes the diagonalization of the equation presented by Chew and De Tar [5] giving the explicit form of the diagonalized kernel in terms of irreducible representations of the homogeneous Lorentz group SL(2, C). Furthermore, the * Work performed under the auspices of U.S. Atomic Energy Commission.