On the theory of angular correlation phenomena

✍ Scribed by Leonard Eisenbud

• Publisher: Elsevier Science
• Year: 1951
• Tongue: English
• Weight: 936 KB
• Volume: 251
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(51)90359-6

✦ Synopsis

The correlation distribution function for emissions of non-relativistic particles in two successive disintegrations of a system is calculated without the use of perturbation theory and without particular assumptions for the nature of the "interactions" responsible for the transitions. The calculation is limited to transitions with the emission of only one particle (or more precisely, the disintegration of a quasi-stationary system into two sub-systems). Some general properties of correlation distribution functions are obtained. Also the number of undetermined parameters which enter the distribution function is counted under important restricting conditions. The form of the calculation makes possible the exhibition of the formal identity of the correlation distribution function with the angular distribution function for resonance reactions. Both distribution functions may be represented as polynomials in cos 2 O of degree not greater than J, where J is the spin of the intermediate states of the two processes.