Mk. Chen, ACCURATE OSCILLATOR-STRENGTHS FOR S-P TRANSITIONS IN THE HE ATOM, Journal of physics. B, Atomic molecular and optical physics, 27(5), 1994, pp. 865-876
We obtain the accurate wavefunctions and energies for n1.3S and n1.3P
states of He for n less-than-or-equal-to 5 by variational configuratio
n calculation with B-spline basis functions. The accurate wavefunction
s have been used to calculate oscillator strengths for the transitions
mS-nP, m, n less-than-or-equal-to 5 in He. The results off values are
accurate to within 0.01 per cent or better. The error estimate is bas
ed on the numerical convergence as the number of the angular partial w
aves of the employed wavefunctions is increased, and on the agreement
between the results obtained using the dipole length and velocity form
ula. The accuracy of our results does not deteriorate with increasing
principal quantum number. The accuracy of our results is better than t
he previous highly accurate calculated results of Schiff et al and Kon
o and Hattori. Our results also agree with some recent accurate experi
mental results. Therefore, our results can be regarded as being as rel
iable as those of Kono and Hattori at least, which are likely to be th
e most accurate theoretical results. Some radial expectation values ar
e also calculated to give some indication of the accuracy of the wavef
unctions.