  We propose a single particle boson mechanism of High T_c Superconductivity
(HTCS) and pseudogap regime. Bosons appear in it due to the coupling of spins
of the two-dimensional (2D) fermions with statistical magnetic field induced by
anyon vector potential. The ground state of 2D gas is pure bosonic if gas is
not dense. At the dense limit of gas the interaction of effective (coupled with
the statistical magnetic field) spins of bosons leads to the increasing of
their fluctuations, which destroy the coupling. An experimental phase diagram
of the hole doped superconducting cuprates discussed in the paper of Tallon and
Loram might qualitatively and quantitatively be clarified in the framework of
this mechanism. The vicinity of the structural phase transition to
superconducting state might strengthen the possible quadratic striction in the
sample and the phase transition of bosons into Bose-Einstein condensate (BEC),
which is responsible for the superconductivity (SC), is not second order, but
first, close to second one. According this treatment the pseudogap regime is
the region of meta stable bosons, which are out of the BEC. At the pseudogap
boundary, E_g, the bosons finally undergo the phase transition into fermions.
Non-Fermi liquid like property of quasi-particles discussed in the literature
might be related to bosons with spins in the pseudogap regime.
