Dyson boson realization of the fermion dynamical symmetry SP(10) model with G pairs

P. Navratil, H.B. Geyer, Jan Dobeš +1 more

K. Baktybaev, N.O. Kojlyk, K.E. Ramankulov

P. Navrátil, H. B. Geyer, J. Dobaczewski

It is shown how the boson mapping formalism may be applied as a useful manybody tool to solve a fermion problem. This is done in the context of generalized Ginocchio models for which we introduce S-, D-, and G-pairs of fermions and subsequently construct the sdg-boson realizations of the generalized Dyson type. The constructed SO(12) and Sp(10) fermion models are solved beyond the explicit symmetry limits. Phase transitions to rotational structures are obtained, also in situations where there is no underlying SU(3) symmetry.

Р.Б. Бегжанов, E. M. Galinsky

A Dyson boson realization for two-particle operators at finite temperature is derived using the thermal-field dynamic formalism. The nature of spurious state appearance in the ideal-boson states is investigated. It is further observed that the matrix element of the pairing interaction between the ideal-boson basis is identical to the corresponding fermion matrix element.

Kosuke Takada

Y. K. Gambhir, R. S. Nikam, C. R. Sarma +1 more

The boson basis for the fermion shell-model problem has been realized over a representation space Vn(n−1)/2 of the unitary group U(n(n−1)/2). A contraction of this space was found to yield the generator algebra of U(n). Based on this result it is shown that the transformations induced by the Dyson-mapped boson Hamiltonian on the Dyson boson basis are identical to the corresponding transformations by the fermion Hamiltonian on the shell-model basis.