Quantum number projection at finite temperature via thermofield dynamics

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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27 pages, using revtex4, to be published in PRC

Scientific paper

10.1103/PhysRevC.71.024314

Applying the thermo field dynamics, we reformulate exact quantum number projection in the finite-temperature Hartree-Fock-Bogoliubov theory. Explicit formulae are derived for the simultaneous projection of particle number and angular momentum, in parallel to the zero-temperature case. We also propose a practical method for the variation-after-projection calculation, by approximating entropy without conflict with the Peierls inequality. The quantum number projection in the finite-temperature mean-field theory will be useful to study effects of quantum fluctuations associated with the conservation laws on thermal properties of nuclei.

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