Single-nucleon removal energies

Wagner, Gerhard

doi:10.1007/3-540-06554-7_2

Cited by 6 publications

(2 citation statements)

References 63 publications

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“…It has been demonstrated [41,42] that in RBHF the single-particle energies are approximately equal to separation energies, but it does not hold really in BHF. Therefore, in RBHF the single-particle energies can be directly related to experimental removal energies [43,44].…”

Section: Calculations and Discussionmentioning

confidence: 99%

Brueckner-Hartree-Fock calculations for finite nuclei with renormalized realistic forces

Hu¹,

Fang²,

Wu³

et al. 2017

Phys. Rev. C

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One can adopt two-step G-matrix approximations for the Brueckner-Hartree-Fock (BHF) calculations. The first G-matrix is to soften the bare force, and the second one is to include the high-order correlations of the interaction in medium. The first G-matrix calculation for two-nucleon interaction should be done in the center-of-mass coordinate. As another alternative BHF approach, we have adopted the V low-k technique to soften the interaction and used the G-matrix to include high-order correlations. The V low-k renormalization leads to high-momentum and low-momentum components of the interaction decoupled. With the V low-k potential, we have performed the BHF calculations for finite nuclei. The G-matrix elements with exact Pauli exclusions are calculated in the self-consistent BHF basis. To see effects from further possible correlations beyond BHF, we have simultaneously performed renormalized BHF (RBHF) calculations with the same potential. In RBHF, the mean field derived from realistic forces is modified by introducing the particleoccupation depletion resulting from many-body correlations. The ground-state energies and radii of the closed-shell nuclei, 4 He, 16 O and 40 Ca, have been investigated. The convergences of the BHF and RBHF calculations have been discussed, and compared with other ab-initio calculations with the same potential.

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Section: Calculations and Discussionmentioning

confidence: 99%

Brueckner-Hartree-Fock calculations for finite nuclei with renormalized realistic forces

Hu¹,

Fang²,

Wu³

et al. 2017

Phys. Rev. C

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show abstract

“…Becker and Patterson [46] have pointed out that the near equality of single-particle energies and separation energies which holds in RBHF (as in Koopmans' theorem [47]) but fails badly in BHF. Thus for RBHF the single-particle energies can be directly related to the experimental mean removal energies [48,49]. The experimental single-particle energies III and IV, respectively.…”

Section: Calculations and Discussionmentioning

confidence: 99%

Brueckner-Hartree-Fock and its renormalized calculations for finite nuclei

Hu,

Xu,

et al. 2016

Preprint

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We have performed self-consistent Brueckner-Hartree-Fock (BHF) and its renormalized theory to the structure calculations of finite nuclei. The G-matrix is calculated within the BHF basis, and the exact Pauli exclusion operator is determined by the BHF spectrum. Self-consistent occupation probabilities are included in the renormalized Brueckner-Hartree-Fock (RBHF). Various systematics and convergences are studies. Good results are obtained for the ground-state energy and radius. RBHF can give a more reasonable single-particle spectrum and radius. We present a first benchmark calculation with other ab initio methods using the same effective Hamiltonian.We find that the BHF and RBHF results are in good agreement with other ab initio methods.

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