Nuclear Hartree-Fock calculations

Muthukrishnan, R.; Baranger, Michel

doi:10.1016/0031-9163(65)90698-0

Cited by 62 publications

(3 citation statements)

References 3 publications

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“…Because of the operation of P γ and † P γ , γ orbits are inactive in the whole system, and we call these orbits block orbits. Thus we can interpret Equation (5) as the amplitude in the block subspace [ ] { } 1 2 r γ γ γ  , and Equation ( 6) is called the normalization factor in this subspace. [18] states that the normalization factor can be calculated quickly by the following recurrence relation,…”

Section: P P P P Pmentioning

confidence: 99%

“…Mean-field theory is one of the most widely used theories for the nuclear structure [1]. In order to introduce pairing correlation [2] [3] [4] between nuclei into mean-field theory, it is common to introduce quasiparticles, such as Hartree-Fock (HF) [5] [6] [7] [8] + Bardeen-Cooper-Schrieffer (BCS) [9] and Hartree-Fock-Bogoliubov (HFB) methods [10]. However, the drawback of the BCS and HFB methods is that since the BCS (or HFB) state is not an eigenstate of the particle number operator, they can only guarantee the average particle number conservation, but not the exact particle number conservation [4].…”

Section: Introductionmentioning

confidence: 99%

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Optimizing the Computation of Many-Pair Density Matrix in VDPC

Li¹,

Ma²

2022

JAMP

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Recently an algorithm that acts the variational principle directly to a coherent-pair condensate (VDPC) has been proposed. This algorithm can avoid time-consuming projection while maintaining particle number conservation. Quickly computation of many-pair density matrix (MPDM) is one of the keys to improve the computational efficiency of VDPC algorithm. In this work, we propose a scheme that limits the energy range of block particles to the vicinity of the Fermi surface, which reduces the time complexity of computing the MPDM without losing physical details. The results show that by appropriately limiting the energy range, we can greatly reduce the number of matrix elements that need to be computed, and reducing the time required for the computation.

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Section: P P P P Pmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Optimizing the Computation of Many-Pair Density Matrix in VDPC

Li¹,

Ma²

2022

JAMP

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“…Muthukrishnan and Baranger [17] have calculated the surface energy using HF binding energy of the nuclei 12C, 160, 28Si, 4~ and 8~ with two nucleon force that acts only in relative s-states and is chosen to be a non-local…”

Section: Nuclear Surface Energymentioning

confidence: 99%

Properties of nuclear matter using the velocity-dependent effective potential ofs-wave interaction

1978

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Two forms of a velocity-dependent effective potential are used. The binding energy and the incompressibility of the nuclear matter are calculated. These are found to be in a good agreement with those obtained by others and with the experimental results. The single-particle potential, the effective mass M* and the nuclear surface energy are also discussed and compared with those obtained by the others.

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Surface Delta Interaction in Heavy Deformed Nuclei

Faessler

1968

Fortschr. Phys.

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Nuclear Hartree-Fock calculations

Cited by 62 publications

References 3 publications

Optimizing the Computation of Many-Pair Density Matrix in VDPC

Optimizing the Computation of Many-Pair Density Matrix in VDPC

Properties of nuclear matter using the velocity-dependent effective potential ofs-wave interaction

Surface Delta Interaction in Heavy Deformed Nuclei

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