The RMS charge radii of tri-nucleons and the binding energy of 3H

Abstract

Calculations are made for the rms charge radii of 3H and 3He and for the binding energy of 3H using Ohmura's hard-core wave function modified, according to Schiff's hypothesis, to contain a certain admixture of the mixed symmetric state S′ with the predominant S state. It is found that an SS′ cross term increases the binding energy of 3H by as much as 20 % thereby giving a good agreement with the observed binding energy for 2 D (hard-core radius) lying between 0.4 and 0.6 fm rather than 0.2 fm as indicated earlier by Ohmura. The values of the rms charge radii of 3H and 3He obtained from the present calculations also agree well with the experimental values for about the same value of D. The effect of S′ admixture on the Coulomb energy of 3He also is calculated and is found to be considerably less than Okamoto's estimate