Abstract
The resonant state of the Coulomb three-body system d + (µ3He) (J = 0) below the (µ d)1s + 3He threshold is investigated using the adiabatic hyperspherical (AHS) approach. The effective numerical method for the scattering problem in the AHS basis is developed. This allows one to study in detail the energy dependence of the three-body wavefunction, its local characteristics (G- and -factors) and the phase shift in the resonance range. The resonance position E0 = 70.82 eV and the width = 3.8 ×10-4 eV are obtained as the parameters of the Breit-Wigner formula which reproduces the numerical results for the regularized normalization constant N2(E). The numerically calculated G-factor depends strongly on E within the resonance width. Its E dependence is reproduced with high accuracy by a three-parameter formula. In contrast to the G-factor, the numerically obtained -factors do not depend on E noticeably in the resonance range.
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