Perturbation theory instead of large scale shell model calculations?

Feldmeier, H.; Manakos, P.

doi:10.1007/bf01408186

Cited by 11 publications

(11 citation statements)

References 8 publications

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“…Insert a) of Fig. 3 shows the dominance of the irrep (8,1) with spin 1/2 in the ground state band up to J=9/2, in agreement with previous studies [23,24]. At J = 11/2 there is a clear change in the wave function, which for J=13/2, 15/2 is dominated by the (6,2) irrep with spin 3/2.…”

Section: The Su(3) Modelsupporting

confidence: 91%

Quasi-SU(3) truncation scheme for odd–even and odd–odd sd-shell nuclei

2002

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Section: The Su(3) Modelsupporting

confidence: 91%

Quasi-SU(3) truncation scheme for odd–even and odd–odd sd-shell nuclei

2002

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“…All calculations were performed using e max = 12 major oscillator shells in order to ensure a satisfactory degree of convergence of the perturbative contributions. The residual change in binding energy when going from e max = 12 to e max = 13 is on the level of 3% for 40 Ca and 90 Zr. For light nuclei the third order perturbative contributions are also shown.…”

Section: B Ground-state Energiesmentioning

confidence: 92%

“…should keep in mind that there are sizable differences between different experimental data sets. For example, the experimental estimates for the 0d splittings in 40 Ca range from 6 to 8 MeV [36].…”

Section: Single-particle Levels and Spin-orbit Splittingsmentioning

confidence: 99%

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Hartree-Fock and many body perturbation theory with correlated realisticNNinteractions

et al. 2006

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We employ correlated realistic nucleon-nucleon interactions for the description of nuclear ground states throughout the nuclear chart within the Hartree-Fock approximation. The crucial shortrange central and tensor correlations, which are induced by the realistic interaction and cannot be described by the Hartree-Fock many-body state itself, are included explicitly by a state-independent unitary transformation in the framework of the unitary correlation operator method (UCOM). Using the correlated realistic interaction VUCOM resulting from the Argonne V18 potential, bound nuclei are obtained already on the Hartree-Fock level. However, the binding energies are smaller than the experimental values because long-range correlations have not been accounted for. Their inclusion by means of many-body perturbation theory leads to a remarkable agreement with experimental binding energies over the whole mass range from 4 He to 208 Pb, even far off the valley of stability. The observed perturbative character of the residual long-range correlations and the apparently small net effect of three-body forces provides promising perspectives for a unified nuclear structure description.

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“…as 8 Be. In microscopic studies of 12 C one, indeed, can see that in the 0 2 + -state two of the three α's are slightly more closer to one another than to the third one [55]. The question is definitely very interesting and desserves future investigation, for instance in what concerns the identification of the α structure of the Hoyle state with the THSR wave function in the intrinsic frame.…”

Section: Conclusion Discussion Outlookmentioning

confidence: 96%

Theory for Quartet Condensation in Fermi Systems with Applications to Nuclei and Nuclear Matter

Schuck

Funaki

Horiuchi

et al. 2014

J. Phys.: Conf. Ser.

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The theory of quartet condensation is further developed. The onset of quartetting in homogeneous fermionic matter is studied with the help of an in-medium modified four fermion equation. It is found that at very low density quartetting wins over pairing. At zero temperature, in analogy to pairing, a set of equations for the quartet order parameter is given. Contrary to pairing, quartetting only exists for strong coupling and breaks down for weak coupling. Reasons for this finding are detailed. In an application to nuclear matter, the critical temperature for α particle condensation can reach values up to around 8 MeV. The disappearance of α-particles with increasing density, i.e. the Mott transition, is investigated. In finite nuclei the Hoyle state, that is the 02 + of 12 C is identified as an 'α-particle condensate' state. It is conjectured that such states also exist in heavier nα-nuclei, like 16 O, 20 Ne, etc. The sixth 0 + state in 16 O is proposed as an analogue to the Hoyle state. The Gross-Pitaevski equation is employed to make an estimate of the maximum number of α particles a condensate state can contain. Possible quartet condensation in other systems is discussed briefly.

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Perturbation theory instead of large scale shell model calculations?

Cited by 11 publications

References 8 publications

Quasi-SU(3) truncation scheme for odd–even and odd–odd sd-shell nuclei

Quasi-SU(3) truncation scheme for odd–even and odd–odd sd-shell nuclei

Hartree-Fock and many body perturbation theory with correlated realisticNNinteractions

Theory for Quartet Condensation in Fermi Systems with Applications to Nuclei and Nuclear Matter

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