Abstract
Projected statistics is proposed to select states of specified space parity and number parity from the Fock space. In the framework of the self-consistent mean field method the temperature-dependent (or thermal) HFB (THFB) equation with the constraints of angular momentum as well as particle number can be derived from the variation after projections of space parity and number parity. By considering the behavior of the quasiparticle distribution function in the limit of zero temperature, it is shown that the self-consistently blocked HFB equation follows from the THFB equation in this limit. An improved level density formula which is free from the problem of enhancement at low temperatures is derived.
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