FUNCTIONAL SCHRODINGER-EQUATION APPROACH TO HIGH-ENERGY MULTIPARTICLE SCATTERING

被引:10
作者
CORNWALL, JM [1 ]
TIKTOPOULOS, G [1 ]
机构
[1] NATL TECH UNIV ATHENS,GR-15773 ATHENS,GREECE
关键词
D O I
10.1016/0370-2693(92)90501-T
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We summarize a series of arguments, based on semi-classical techniques, for calculating fixed-angle scattering amplitudes such as T2-->N in a weakly-coupled theory with coupling g2 much less than 1, and Ng2 greater-than-or-equal-to 1. These techniques are applied to the (functional) Schrodinger equation for the quartic oscillator, including the double well, and for d=4 field theories. The result is that for processes with no tunneling, T2-->N has the leading behavior exp(-alpha-N), alpha = O(1). (For the quartic oscillator, alpha=1/2pi.) For theories with tunneling, when the energy is at the top of the barrier, we make it plausible that T2-->N approximately exp(-1/2I), where I is the zero-energy (instanton) tunneling exponent.
引用
收藏
页码:195 / 200
页数:6
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