Electronic resonances of HeT+resulting from the beta decay of the tritium molecule

Calculations for the three lowest resonant states of the molecular ion HeT + are presented. These states are known to be produced with high probabilities in the beta decay of the T 2 molecule. Therefore, their positions and widths are needed for an accurate interpretation of the neutrino mass experiments employing T 2 molecules as a source of radiation. These quantities may also be useful in interpreting low-energy He + +H scattering and far-ultraviolet spectroscopy of HeH + . The resonance positions and widths have been obtained using the method of analytic continuation of the real valued stabilisation graphs calculated with a basis set of explicitly correlated functions in elliptic coordinates. A discussion of the complex scaling method in these coordinates is given, and an appropriate stabilisation transformation pertinent to the use of elliptic coordinates is derived. As a test of the method, the lowest resonant states of the H 2 molecule and Li + ion have also been calculated, and the results agree very well with data in the literature obtained with much more laborious methods.