The analysis of the densities of s-wave neutron resonances separated with respect to spin

Abstract

The density ratio of s-wave neutron resonances z=ρ(J1)/ρ(J2) was analyzed on the basis of the experimental data for 22 atomic nuclei and the Gilbert-Cameron formula for ρ(J). Here, J1=Ix—1/2 and J2=Ix+1/2, where Ix denotes the spin of the target nucleus in the ground state. Our aim was to verify whether the factor η(Ix), as a multiplier, can be applied in the expression describing ρ(J1), with the assumption that ρ(J2) values remain unchanged, or whether the factor 1η(Ix) can be applied, as a multiplier with ρ(J2), while the ρ(J1) values remain unchanged. The final conclusions, e.g., the confirmation or the negation of the fact that it may be necessary to apply the η(Ix) factor, depend on the values of “real” errors Δz of the z variable, which can be calculated if the optimal values of Δρ(J1) and Δρ(J2) are known.