Decay modes of muonic lithium-hydrogen molecules

Abstract

Radiative, Auger and predissociation decay modes of muonic lithium-hydrogen molecule, Liµh, (h = p, d or t is a hydrogen isotope) are considered. Results obtained for the corresponding reaction rates indicate that predissociation is a dominating decay mode for h = p, d while Auger decay dominates for h = t. The calculated conversion coefficient is significantly larger than that for helium muonic molecule and ranges between 37 and 42 (on the basis of one electron) depending on isotope composition of the molecule. Reaction rates for rotational 1 → 0 transitions in Liµh and Heµh due to inner Auger process are also calculated.

Rotational de-excitation of hydrogen–helium muonic molecules

“…which is expected to be fast (λ ∼ 10 12 s −1 , [22]). However, the electron transfer (Heµh) ++ 1 + H → (Heµh) ++ 1 , e(2s or 2p) + + h, (43) being analogous to the process He ++ + H → He(2s or 2p) + + h, must precede the de-excitation.…”

“…The energetically allowed 1 → 0 transition due to inner electron conversion, [ ( 3,4 Heµp) ++ 1 , 2e(1s)] → [ ( 3,4 Heµp) ++ 0 , e(1s)] + + e, was investigated in [22]. The corresponding transition energies are about 30 eV, whereas the ionization potential of neutral complex [ ( 3,4 Heµp) ++ 1 , 2e(1s)] is very close to the helium atom ionization potential, ∼24.4 eV (any difference due to finite dimension of the muonic molecule is expected to be about a few meV).…”

Study of the nuclear fusion in a muonic dμ3He complex

“…The rates λ 0 Σ = 6 × 10 11 s −1 and λ 1 Σ = 7 × 10 11 s −1 (averaged from the data [26,27,[30][31][32]39,76]) were used 2 As follows from equation (35) λ J =1 f is absent there. It is explained by the quenching of the rate of the nuclear fusion reaction from J = 1 in comparison with J = 0, demonstrated in Table 1 (about three orders of magnitude).…”

“…Table XI also presents the values for λ J=0 f found in runs I and II. The averages λ 0 Σ = 6 × 10 11 s −1 and λ 1 Σ = 7 × 10 11 s −1 (averaging over the data [26,27,30,31,32,39,76]) were used to get the values presented in Table XI. As to the effective rate for transition of the dµ 3 He complex from the state with the angular momentum J = 1 to the state with J = 0, it was calculated with allowance for the entire complicated branched chain of processes accompanying and competing with the rotational 1 − 0 transition (see Table XI).…”