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 ca lculations, 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 compari ng with our previous results e.g. 2-5(1,3)P, it is indistinguishable b etween our present and previous results. The present results were obta ined with smaller number of basis functions. We can therefore use the accurate wavefunctions to calculate oscillator strengths for the trans itions 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 ene rgy levels and as in our previous work. Our results agree with the pre vious highly accurate calculated results of Kono and Hattori impressiv ely, which are likely the most accurate theoretical results. We also g ive 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 agre e with some recent accurate experimental results as good as those of K ono and Hattori.