F VALUES FOR HIGH-LYING S-P, AND P-D TRANSITIONS IN THE HE ATOM BY SELECTED B-SPLINE BASIS FUNCTIONS

By selecting B-spline basis functions systematically in variational calculations, we obtain the accurate wavefunctions and energies for n(1,3)P and n(1,3)D states of He for n less than or equal to 9. In comparing with our previous results e.g. 2-5(1,3)P, it is indistinguishable between our present and previous results. The present results were obtained with smaller number of basis functions. We can therefore use the accurate wavefunctions to calculate oscillator strengths for the transitions mS-nP, mP-nD, m, n less than or equal to 9, in He. The results of f values are accurate to within 0.01% at least. The error estimate is based on the uncertainty of the difference of the corresponding energy levels and as in our previous work. Our results agree with the previous highly accurate calculated results of Kono and Hattori impressively, which are likely the most accurate theoretical results. We also give hybrid f values of transitions between m(1)P and m(1)D (or between 1(1)S and m(1)P) for m less than or equal to 9. Our results also agree with some recent accurate experimental results as good as those of Kono and Hattori.