The quadrupole vibrational inertial function in the adiabatic time-dependent Hartree-Fock-Bogolyubov approximation

doi:10.1016/0375-9474(81)90010-5

Nuclear Physics A

Volume 369, Issue 1, 12 October 1981, Pages 123-140

https://doi.org/10.1016/0375-9474(81)90010-5 Get rights and content

Abstract

The adiabatic time-dependent Hartree-Fock-Bogolyubov (ATDHFB) approximation for the determination of the collective inertial functions is discussed and analysed in detail in the example of the quadrupole vibrational inertial function B_ββ. The collective path is constructed as a sequence of paired states of particles occupying the levels of the deformed Woods-Saxon potential. The Skyrme force is used in the particle-hole channel and the pairing force in the particle-particle interaction channel. The numerical calculations are performed for the axial shapes of samarium and barium nuclei. For the Skyrme force SIV the calculated B_ββ inertial function values and the cranking ones differ the most, the former values being about 30% larger than the latter.

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^☆: Supported by the Polish-US Maria Sklodowska-Curie Fund, Grant No. P-F7F037P and by the Institute for Nuclear Research, Warsaw, under Topic 04.3.

^∗: Now at the Institut de Physique Nucléaire, Division de Physique Théorique, 91406 Orsay Cedex, France, on leave of absence from Warsaw University.

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The quadrupole vibrational inertial function in the adiabatic time-dependent Hartree-Fock-Bogolyubov approximation☆

Abstract

Nucl. Phys.

Rev. Mod. Phys.

Nucl. Phys.

Nucl. Phys.

Z. Phys.

Phys. Lett.

Ann. Rev. Nucl. Sci.

Phys. Rev.

Nucl. Phys.

Nucl. Phys.

Nucl. Phys.

Phys. Lett.

J. of Phys.

Nucl. Phys.

Mat. Fys. Medd. Dan. Vid. Selsk.

Nucl. Phys.

Mat. Fys. Medd. Dan. Vid. Selsk.