<i>Ab initio</i>nuclear many-body perturbation calculations in the Hartree-Fock basis

Hu, B.; Fang, Xu; Sun, Z. H.; Vary, James P.; Li, T.

doi:10.1103/physrevc.94.014303

Cited by 41 publications

(65 citation statements)

References 66 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…where m is the average mass of a nucleon, A is the mass number of the nucleus, p i is the nucleon momentum in the laboratory frame, V ij is the two-body nucleon-nucleon interaction, and W ijk is the three-nucleon interaction. In the harmonic oscillator (HO) basis, we first perform spherical HF calculations [46] where the total angular momentum is preserved. In this paper, we are only interested in spherically closed-shell nuclei.…”

Section: A the Rpa Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Chiral NNLOsat descriptions of nuclear multipole resonances within the random-phase approximation

Fang

et al. 2018

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

We study nuclear multipole resonances in the framework of the random phase approximation using the chiral potential NNLO sat . This potential includes two-and three-body terms that has been simultaneously optimized to low-energy nucleon-nucleon scattering data and selected nuclear structure data. Our main foci have been the isoscalar monopole, isovector dipole, and isoscalar quadrupole resonances of the closed-shell nuclei, 4 He, 16,22,24 O, and 40,48 Ca. These resonance modes have been widely observed in experiment. In addition, we use a renormalized chiral potential V low-k , based on the N 3 LO two-body potential by Entem and Machleidt [Phys. Rev. C68, 041001 (2011)]. This introduces a dependency on the cutoff parameter used in the normalization procedure as reported in previous works by other groups. While NNLO sat can reasonably reproduce observed multipole resonances, it is not possible to find a single cutoff parameter for the V low-k potential that simultaneously describe the different types of resonance modes. The sensitivity to the cutoff parameter can be explained by missing induced three-body forces in the calculations. Our results for neutron-rich 22,24 O show a mixing nature of isoscalar and isovector resonances in the dipole channel at low energies. We predict that 22 O and 24 O have low-energy isoscalar quadrupole resonances at energies lower than 5 MeV.

show abstract

Section: A the Rpa Formulationmentioning

confidence: 99%

“…where E (2) is the second-order perturbation diagram [46]. The binding energy calculation now includes contributions from all ring diagrams.…”

Section: B the Ground-state Correlationmentioning

confidence: 99%

Chiral NNLOsat descriptions of nuclear multipole resonances within the random-phase approximation

Fang

et al. 2018

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

show abstract

“…In contrast to the HO basis, the self-consistent HF basis provides improved convergences of perturbation calculations [29,30]. In addition, in the HF basis some-type perturbation diagrams can be cancelled out, while the cancellation does not happen in the harmonicoscillator basis.…”

Section: Introductionmentioning

confidence: 99%

Perturbation calculations of nucleon–nucleon effective interactions in the Hartree–Fock basis

Fang

et al. 2019

J. Phys. G: Nucl. Part. Phys.

View full text Add to dashboard Cite

We perform two types of ab initio perturbation calculations of effective interactions in the Hartree-Fock (HF) basis instead of the harmonic-oscillator basis: one is called the Brillouin-Wigner (BW) perturbation and another is called the Rayleigh-Schrödinger (RS) perturbation. It is shown that the HF basis provides good convergences. We also benchmark the perturbation calculations with the in-medium similarity renormalization group (IM-SRG) which is a nonperturbative method. In the HF basis some-type perturbation diagrams can be cancelled out, while the cancellation does not happen in the harmonic-oscillator basis. We have investigated the sd shell using the chiral N 3 LO potential softened by V low-k . With the low-momentum N 3 LO potential, we first perform the spherical HF calculations for the 16 O core of the sd shell, and the realistic effective two-body interactions for the HF sd-shell space can be derived by the perturbation calculations.The calculations give simultaneously effective single-particle energies and excitation spectra of two valence particle systems (i.e., 18 O, 18 F, and 18 Ne in the sd shell). Convergences have been analyzed order by order. The perturbation calculations are in fairly good agreement with nonperturbative method IM-SRG. We find that the HF RS perturbation gives even better results compared with the BW perturbation. The HF realistic effective interactions derived by the perturbations can be used for further shell-model calculations. *

show abstract

“…5 plots the binding 0 20 40 60 Ex (MeV) energies calculated within the RPA framework. In the binding energy calculation, the correction from the second-order perturbation [34,73] is considered. We see that the tensor force provides more than 50% of the binding energy.…”

Section: Calculations and Discussionmentioning

confidence: 99%

Nuclear multipole responses from chiral effective field theory interactions

Yuan

et al. 2020

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

We probe nuclear multipole resonances in the framework of the random-phase approximation by using the interaction obtained from the chiral effective field theory. The three-nucleon force is included in a form of the in-medium two-nucleon interaction which was derived from the chiral three-nucleon force. The isoscalar monopole, isoscalar dipole, isovector dipole and isoscalar quadrupole resonances of the closed-shell 56,68,78 Ni have been investigated. The calculations reasonably reproduce the experimental multipole resonances of 56,68 Ni, and well describe the pygmy dipole resonance and dipole polarizability measured in 68 Ni. The multipole resonances of 78 Ni, including pygmy dipole resonance and dipole polarizability, are predicted. The detailed effects of the tensor force and three-body force are analyzed by dissecting the chiral interaction. We find that in general the tensor force effect on electric giant resonances is not as significant as the effect from the three-body force, although the tensor force provides more than half of the binding energy.The effect from three-body force is strong in light nuclei. Particularly, three-body force is crucial for the formation of the pygmy resonance in calculations. *

show abstract

Ab initionuclear many-body perturbation calculations in the Hartree-Fock basis

Cited by 41 publications

References 66 publications

Chiral NNLOsat descriptions of nuclear multipole resonances within the random-phase approximation

Chiral NNLOsat descriptions of nuclear multipole resonances within the random-phase approximation

Perturbation calculations of nucleon–nucleon effective interactions in the Hartree–Fock basis

Nuclear multipole responses from chiral effective field theory interactions

Contact Info

Product

Resources

About