### Speaker

Prof.
Alexander Glushkov
(Odessa University and Troitsl ISAN Russian Acad. Sci.)

### Description

A negative muon captured by a metastable nucleus may accelerate the discharge of the latter by many orders of magnitude [1,2]. For a certain relation between the energy range of the nuclear and muonic levels a discharge may be followed by muon ejection and muon- participates in discharge of other nuclei. We present relativistic energy approach to a discharge of a nucleus with emission of gamma quantum and further muon conversion, which initiates this discharge [3]. Besides, the external graser effect on cited processes is studied. The decay probability is linked with imaginary part of the "nucleus core+ external nucleon+muon" system energy. One should consider 3 channels: 1). radiative purely nuclear 2j-poled transition (probability P1); 2). Non-radiative decay, when a proton transits into the ground state and muon leaves a nucleus with energy E=E(p-N1J1)-E(i), where E(p-N1J1) is an energy of nuclear transition, E(i) is the bond energy of muon in 1s state (P2); 3). A transition of proton to the ground state with muon excitation and emission of gamma quantum with energy E(p-N1J1)-E(nl) (P3). Under condition E(p-N1J1)>E(i) a probability definition reduces to QED calculation of probability of autoionization decay of 2-particle system. As example, data for Sc, Tl nuclei are listed. The Dirac-Wood-Saxon model is used. As illustration for Sc nucleus below we present values for the probabilities of the muon-Sc decay for different transitions: P2(p1/2-p3/2)=3,931015, P2(p1/2-f7/2)= 3.15*10(12), P2(p3/2-f7/2)=8.83*10(14). Here the nucleus must transit the momentum no less than 2,4 and 2 according to the momentum and parity rules. If a muonic atom is in the initial state p1/2, than the cascade discharge occur with ejection of muon on first stage and secondly the gamma quantum emission. To consider a case when the second channel is closed and the third one is opened, suppose: E(p1/2)-E(p3/2)=0.92 MeV. Energy of nuclear transition is not sufficient to transit muon into continuum state and it may excite to 2p state. Then, there is the proton transition p1/2-p3/2 with virtual muon excitation to states of nd series and gamma quantum emission ħw=Ep(p1/2)+Em(1s)- Ep(p3/2)-Em(2p). The dipole transition 2p-1s occurs with P3=1.9*10(13) s-1 (more than P(p1/2-p3/2), P(p1/2-f7/2 ) transitions without radiation.
References:
1. V.I.Gol'dansky, V.S.Letokhov, JETP.1974.V.67.P.513; L.N.Ivanov, V.S.Letokhov, JETP. 1976. V.70.P.19; A.V.Glushkov, L.N.Ivanov, Phys.Lett.A.1992.V.170.P.33.
2. A.Glushkov, Low Energy Antiproton Physics (AIP).2005.V.796.P.206.
3. A.V.Glushkov et al, Frontiers in Quantum Systems in Phys. and Chem. Series: Progress in Theor.Phys.(Berlin, Springer). 2006.V.15. P.301; 2011.V.21.P.131.

### Primary author

Prof.
Alexander Glushkov
(Odessa University and Troitsl ISAN Russian Acad. Sci.)