Decay rates and γ-rays spectra of HeHμ systems

Abstract

Radiative and nonradiative decay of charge nonsymmetrical molecular ions 3,4 He 1,2 Hµ have been investigated. Decay rates in both channels and γ-ray spectra for the states of the total angular momentum L = 0, 1, 2 have been calculated using the hyperspherical "surface" functions method. Isotopic dependence of the decay rates is discussed. A comparison of the calculated γ-ray spectra with the recent experiments indicates the 3,4 Hedµ decay from the L = 1 state.

Elastic (hμ)1s+ He++Scattering and the Influence of Adiabatic Corrections on (Heμh)++Bound States

“…The corresponding results, presented for the first time in Ref. [12], differ by several percent only from the ones obtained later by several authors using variational method for many-thousand-terms trial wave functions [20,22,26], as well as the two-level approximation [21,27,28].…”

“…For numerical purposes, however, it is convenient to replace Eq. (27) by the corresponding real equations for the real partial scattering amplitude--function defined as…”

“…It is due to the fact that coupling terms of the potential matrix corresponding to the two-level treatment are much smaller than the diagonal ones in this region of the inter-nuclear separation, R ≥ 4a µ (a µ is the muonic atom Bohr radius), where the 2pσ-component of the total wave function is localized [27]. The corresponding results, presented for the first time in Ref.…”

“…Results obtained from two-and many-channel calculation in Refs. [27] and [26], respectively, are also presented for comparison. Our adiabatic results presented in Table II coincide almost exactly ‡ with the ones of Ref.…”

“…Many-channel variational results obtained in Refs. [26] and [27] are also presented for comparison. It is remarkable that numbers of bound states obtained in the frame of the adiabatic and B-O approximations are the same for each J.…”