Extended Brueckner–Hartree–Fock theory with pionic correlation in finite nuclei

Ogawa, Yoko; Toki, H.

doi:10.1016/j.aop.2011.03.004

Cited by 14 publications

(13 citation statements)

References 28 publications

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“…In a few-body viewpoint, Horii et al have already confirmed the reliability of one-pair approximation to treat the bare tensor interaction using the few-body method for s-shell nuclei by reproducing more than 90% of the tensor correlation energy [20]. The explicit inclusion of the 2p2h states in the extended mean-field model for heavy nuclei has been formulated by Ogawa et al [21].…”

Section: Introductionmentioning

confidence: 96%

Role of the tensor interaction in He isotopes with a tensor-optimized shell model

et al. 2011

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We studied the role of the tensor interaction in He isotopes systematically on the basis of the tensor-optimized shell model (TOSM). We use a bare nucleon-nucleon interaction AV8 obtained from nucleon-nucleon scattering data. The short-range correlation is treated in the unitary correlation operator method (UCOM). Using the TOSM + UCOM approach, we investigate the role of tensor interaction on each spectrum in He isotopes. It is found that the tensor interaction enhances the LS splitting energy observed in 5 He, in which the p 1/2 and p 3/2 orbits play different roles on the tensor correlation. In 6,7,8 He, the low-lying states containing extra neutrons in the p 3/2 orbit gain the tensor contribution. On the other hand, the excited states containing extra neutrons in the p 1/2 orbit lose the tensor contribution due to the Pauli-blocking effect with the 2p2h states in the 4 He core configuration.

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Section: Introductionmentioning

confidence: 96%

Role of the tensor interaction in He isotopes with a tensor-optimized shell model

et al. 2011

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“…There exist different types of NN potentials typically fitted to available nucleon-nucleon scattering data in the vacuum and few-body nuclear data. From these potentials, approximate many-body methods have been applied to study not only the EoS but also some properties in light and light-medium mass finite systems [5,6,7,8,9,10,11,12,13,14,15]. It has been shown that in addition to the NN interaction also three-body interaction is necessary for a reasonable description of the nuclear saturation point of the symmetric matter EoS, one of the basic properties needed to reproduce the experimental mass and size of finite nuclei.…”

Section: Introductionmentioning

confidence: 99%

Nuclear equation of state from ground and collective excited state properties of nuclei

Roca-Maza

Paar

2018

Progress in Particle and Nuclear Physics

194

110

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This contribution reviews the present status on the available constraints to the nuclear equation of state (EoS) around saturation density from nuclear structure calculations on ground and collective excited state properties of atomic nuclei. It concentrates on predictions based on self-consistent mean-field calculations, which can be considered as an approximate realization of an exact energy density functional (EDF). EDFs are derived from effective interactions commonly fitted to nuclear masses, charge radii and, in many cases, also to pseudo-data such as nuclear matter properties. Although in a model dependent way, EDFs constitute nowadays a unique tool to reliably and consistently access bulk ground state and collective excited state properties of atomic nuclei along the nuclear chart as well as the EoS. For comparison, some emphasis is also given to the results obtained with the so called ab initio approaches that aim at describing the nuclear EoS based on interactions fitted to few-body data only. Bridging the existent gap between these two frameworks will be essential since it may allow to improve our understanding on the diverse phenomenology observed in nuclei. Examples on observations from astrophysical objects and processes sensitive to the nuclear EoS are also briefly discussed. As the main conclusion, the isospin dependence of the nuclear EoS around saturation density and, to a lesser extent, the nuclear matter incompressibility remain to be accurately determined. Experimental and theoretical efforts in finding and measuring observables specially sensitive to the EoS properties are of paramount importance, not only for low-energy nuclear physics but also for nuclear astrophysics applications. 7 The expression introduced by Migdal in Ref. [43] neglected the term in a AS . 8 From a macroscopic picture it would correspond to an isotropic compression. 9 From a macroscopic picture it would correspond to a non-isotropic compression. 15

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“…There is no truncation of the particle states in TOSM, where spatial shrinkage of the particle states is essential to obtain convergence of the tensor contribution involving high-momentum components [23][24][25]. This treatment of the bare tensor force in TOSM corresponds to the one-pair approximation correlated by the tensor force [26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Shell and alpha cluster structures in 8Be with tensor-optimized shell model

Myo

Umeya

Horii

et al. 2014

Progress of Theoretical and Experimental Physics

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We study the shell and α cluster structures in the ground and excited states of 8 Be in terms of the tensor-optimized shell model (TOSM). In TOSM, the tensor correlation is optimized in the full space of 2p2h configurations involving high-momentum components. The short-range correlation is treated with the unitary correlation operator method (UCOM). We use the effective interaction based on the bare nucleon-nucleon interaction AV8 ′ . The 8 Be states consist of two groups of ground band states and highly excited states with the isospin T =0 and T =1. It is found that the tensor contributions of the ground band states are stronger than the highly excited states and that the kinetic energies and the central contributions of the ground band states are almost twice the 4 He values. These features suggest two-α clustering for the ground band states in 8 Be. We also estimate the correlation energy of the α clustering using the α cluster model. In the highly excited states, the calculated spectrum in TOSM reproduces the experimental level order and the relative energies of each level. This agreement suggests that those states can be interpreted as shell-like states. The level order is found to be sensitive to the presence of the tensor force in comparison with the results using the Minnesota effective interaction without the tensor force. It is also found that the tensor contributions in the T =0 states are stronger than the T =1 states, which is consistent with the state dependence of the tensor force.

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Extended Brueckner–Hartree–Fock theory with pionic correlation in finite nuclei

Cited by 14 publications

References 28 publications

Role of the tensor interaction in He isotopes with a tensor-optimized shell model

Role of the tensor interaction in He isotopes with a tensor-optimized shell model

Nuclear equation of state from ground and collective excited state properties of nuclei

Shell and alpha cluster structures in 8Be with tensor-optimized shell model

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