The Hartree-Fock Theory of Deformed Light Nuclei

Ripka, G.

doi:10.1007/978-1-4757-0103-6_3

Cited by 101 publications

(35 citation statements)

References 36 publications

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“…Thus, the study of these isotopes is beyond the scope of the existing mass models [8,62]. In the present RMF/SHF calculations, the newly discovered 40 Mg and 42 Al are well within the dripline. Also, as a point of caution, it may be possible that if we allow triaxial deformation in the calculation then we may get one minimum as a saddle point and another one as a triaxial minimum.…”

Section: Binding Energy and Neutron Drip-linementioning

confidence: 72%

“…With pairing, the deformation becomes negligible for 20 Ne and we do not get the experimental deformation parameter in RMF calculations. With no pairing, we reproduce substantially the deformation parameter in RMF because the density of states near the Fermi surface for such light nuclei are small and not conducive to pairing [40,41]. To understand the influence of pairing on open shell nuclei, we have taken into account the experimental data, wherever available.…”

Section: −1/3mentioning

confidence: 99%

“…The theoretical predictions of drip nuclei are very important after the discovery of 40 Mg and 42 Al [7]. These two nuclei are considered to be beyond the drip-line (neutronunbound) in some of the mass calculations [8,62].…”

Section: Binding Energy and Neutron Drip-linementioning

confidence: 99%

“…However, magic number 20 retains its magic properties even for the drip-line region. In one of our earlier publications [76], we analyzed the spherical shell gap at N = 28 in 44 S and its neighboring 40 Mg and 42 Si using NL-SH [77] and TM2 parameter sets [57]. The spherical shell gap at N = 28 in 44 S was found to be intact for the TM2 parametrization and is broken for NL-SH.…”

Section: Two Neutron Separation Energy (Smentioning

confidence: 99%

“…The deformed structures, core excitation, and the location of the drip-line for * E-mail: shailesh@iopb.res.in Mg and neighboring nuclei are a few of the interesting properties for investigation. In this context, the discovery of 40 Mg and 42 Al, once predicted to be nuclei beyond the drip-line by various mass formulae [7,8], show the need for modification of the mass models. …”

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confidence: 99%

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Superdeformed structures and low Ω parity doublet in Ne-S nuclei near neutron drip-line

2014

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Abstract:The structures of Ne, Na, Mg, Al, Si, P and S nuclei near the neutron drip-line region are investigated in the frame-work of relativistic mean field theory and non-relativistic Skyrme Hartree-Fock formalism. The recently discovered nuclei 40 Mg and 42 Al, which are beyond the drip-line predicted by various mass formulae are located within these models. We find many largely deformed neutron-rich nuclei, whose structures are analyzed. From the structure anatomy, we find that at large deformation low Ω orbits of opposite parities (e.g. IntroductionThe structure of light nuclei near the neutron drip-line is an interesting topic for a good number of exotic phenomena. Nuclei in this region are quite different in collectivity and clustering features than their stable counterpart in the nuclear chart. For example, the neutron magic property is lost for N = 8 in 12 Be [1][2][3] and N = 20 in 32 Mg [4]. The unexpectedly large reaction cross-section for 22 C gives an indication of neutron halo structure [5]. The discovery of large collectivity of 34 Mg by Iwasaki et al. [6] is another example of such exotic properties. The deformed structures, core excitation, and the location of the drip-line for * E-mail: shailesh@iopb.res.in Mg and neighboring nuclei are a few of the interesting properties for investigation. In this context, the discovery of 40 Mg and 42 Al, once predicted to be nuclei beyond the drip-line by various mass formulae [7,8], show the need for modification of the mass models.

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Section: Binding Energy and Neutron Drip-linementioning

confidence: 72%

Section: −1/3mentioning

confidence: 99%

Section: Binding Energy and Neutron Drip-linementioning

confidence: 99%

Section: Two Neutron Separation Energy (Smentioning

confidence: 99%

mentioning

confidence: 99%

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Superdeformed structures and low Ω parity doublet in Ne-S nuclei near neutron drip-line

2014

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Shortcomings in computational chemistry

Berthier

Defranceschi

Bris

2003

Int J of Quantum Chemistry

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ABSTRACT:The purpose of the paper is to point out some weaknesses in computational chemistry. The weaknesses we list arise from issues that are not properly solved and that can either stand on the pure numerical domain or go back to difficulties already present at the modeling stage, or even stem from fundamental open questions in theoretical chemistry itself. To name just a few, the domain decomposition method used in (QM/MM) calculations, the definition of effective core potentials (ECP) or the foundations of various stationary Schrö dinger approximations, such as SCF or MCSCF theories or density functional-type methods are examined.

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