Proton capture formation tables

Abstract

The values of the parameters for magnetic substate populations and statistical tensors are computed for levels formed by proton capture. The substate population numbers and the tensor parameters are given for levels with spins ranging from J = 1 to J = 6, J integral, and formed by proton capture in channels with spins ranging from s = 0 to s = 4, s integral. The orbital angular momenta range from l = 0 to l = 7.

The coefficients relating substate populations to tensor parameters are given for spins J = 1 to J = 6, J integral, and for J = 3/2 to 9/2, J half-integral. Extension to J >6 can easily be made with the use of a Clebsch-Gordan subroutine for an electronic computer.

In most cases half-integral spins are formed by capture in the channel with s = 1/2. The substate populations are then constant, P_1/2 = 1. The tensor parameters are then contained in the table of coefficients relating these parameters to the population numbers. The parameters for half-integral spins are not tabulated separately.

A final table gives the coefficients relating the parameters for the second state excited in the (P,γ) process, to those of the initially formed level, when the primary γ-ray is unobserved but of known multipolarity. Primary spins J = 1 to 6, J integral, and J = 3/2 to 9/2, J half-integral, are entered together with the secondary spins reached by dipole and quadrupole transitions.