In the present study, we carry out HFB calculations in configuration space, expanding in a transformed harmonic oscillator basis. This basis was originally introduced in Refs. [17,18,19], and we refer the reader to Ref. [19] for details concerning the use of the deformed THO basis and for a discussion of the cut-off procedure that is used to perform the summations in Eq. (6). We also refer the reader to an interesting new application of the THO basis to one-dimensional problems of interest in molecular physics [33].
As noted earlier, all previous calculations using the THO basis in HFB calculations employed a global parameterization of the LST function that defined the basis. In the following subsections, we develop a new and improved form for the transformation, which we then use in the HFB+THO applications to be reported in Sect. 5.