Nuclear polarization in dμ and tμ atoms and in the dtμ molecule

Physics

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Positronium, Muonium, Muonic Atoms And Molecules, Binding Energies And Masses, Charge Distribution

Scientific paper

Deuteron polarization in a dμ atom and triton polarization in a tμ atom were investigated on the basis of a three- (four-) body model of the d-μ (t-μ) system. Virtual excitation of the deuteron and triton is treated within the second-order perturbation theory. The nuclear polarization energy is obtained as -9.9 meV for the dμ atom and -1.1 meV for the tμ atom. We examined the validity of the adiabatic approximation and the dipole approximation which were employed in the literature calculation of the deuteron polarization; the approximations were found to be rather poor. Deuteron and triton polarization potentials were derived and were found to deviate much, in the internal region, from the r-4-type potential, which is given by the adiabatic and dipole approximations. With the use of these potentials, correction to ɛ11 due to the nuclear polarization in the dtμ molecule at the J=v=1 state was calculated to be -1.7 meV, which should significantly affect the resonant formation of the state, a key to the muon catalyzed d-t fusion.

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