Time-dependent Hartree-Fock-Bogoliubov calculations using a Lagrange mesh with the Gogny interaction | Zendy

Yukio Hashimoto | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Time-dependent Hartree-Fock-Bogoliubov calculations using a Lagrange mesh with the Gogny interaction

Author(s) -

Yukio Hashimoto

Publication year - 2013

Publication title -

physical review c

Language(s) - English

Resource type - Journals

eISSN - 1089-490X

pISSN - 0556-2813

DOI - 10.1103/physrevc.88.034307

Subject(s) - quadrupole , physics , harmonic oscillator , basis (linear algebra) , plane (geometry) , hartree–fock method , harmonic , grid , perpendicular , quantum mechanics , geometry , mathematics

A new numerical method of calculating the Hartree-Fock-Bogoliubov (HFB) and time-dependent HFB (TDHFB) with the Gogny interaction is proposed. The three-dimensional harmonic-oscillator (3DHO) basis functions are replaced by one-dimensional spatial grid points of Lagrange mesh plus two-dimensional harmonic-oscillator basis functions in the perpendicular plane to the direction of the spatial grid points [Lagrange mesh and harmonic oscillator (LMHO)]. By using the LMHO, the calculations of the HFB and TDHFB are carried out in the typical nuclei of 20O and 34Mg as an illustration of the feasibility of the TDHFB formulation with the LMHO. The strength functions of the quadrupole vibrations (K=0) are obtained and are compared with the ones calculated with the 3DHO

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research