HYPERFINE SPLITTING IN MUONIC HE-4 AND HE-3 ATOMS - A GLOBAL-OPERATOR APPROACH

We uses a global operator to examine the wavefunctions which he employed in calculating the ground-state hyperfine structure of the muonic 4He and 3He atoms. Using the recoil correction, delta rec= (Delta nu) F(3 alpha/pi) (me/mmu) ln(mmu/me), he arrived at the values of Delta nu =4464.907+or-0.001 and 4166.620+or-0.001 MHz respectively for the total hyperfine structure of the muonic 4He and 3He atoms including relativistic and radiative corrections up to alpha 2. Comparing with his previous works, Delta nu =4464.87+or-0.05 MHz and 4166.56+or-+or-0.05 MHz, this supports his choice of the wavefunctions and indicates that it is reasonable to find the second-order corrections. The small uncertainties, which originate from the calculation of the three-body Schrodinger wavefunctions, make it meaningful to find the second-order corrections, and provide the possibility of testing the relativistic and QED effects. © 1990, IOP Publishing Ltd.