J. Dobaczewski et al., Point symmetries in the Hartree-Fock approach. II. Symmetry-breaking schemes - art. no. 014311, PHYS REV C, 6201(1), 2000, pp. 4311
We analyze breaking of symmetries that belong to the double point group D-2
h(TD) (three mutually perpendicular symmetry axes of the second order, inve
rsion, and time reversal). Subgroup structure of the D-2h(TD) group indicat
es that there can be as many as 28 physically different, broken-symmetry me
an-field schemes - starting with solutions obeying all the symmetries of th
e D-2h(TD) group, through 26 generic schemes in which only a nontrivial sub
group of D-2h(TD) is conserved, down to solutions that break all of the D-2
h(TD) symmetries. Choices of single-particle bases and the corresponding st
ructures of single-particle Hermitian operators are discussed for several s
ubgroups of D-2h(TD).