Superdeformation and shape isomerism at zero spin

Bonche, P.; Krieger, S. J.; Quentin, P.; Weiss, M. S.; Meyer, J.; Meyer, M.; Redon, N.; Flocard, H.; Heenen, Paul‐Henri

doi:10.1016/0375-9474(89)90426-0

Cited by 103 publications

(41 citation statements)

References 22 publications

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“…Fig. 1 2 , both for protons and neutrons. The size of the kink is larger for neutrons, which is natural as the proton radius can only change through the p-n attractive force when one varies the neutron number for a given charge.…”

Section: Mean Field Calculationsmentioning

confidence: 98%

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Microscopic approach to collective motion

Bonche¹,

Chabanat

Chen

et al. 1994

Nuclear Physics A

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An overview of a microscopic framework based on the Hartree-Fock description of the mean field is presented which, starting from an effective interaction allows a description of collective motions. A study of the isotope shifts in the Pb region illustrates the importance of the effective interactions and points to their limitations. Such forces should be improved in order to achieve a better description of nuclei properties especially with the coming availability of exotic beam facilities. The coupling of collective quadrupole and octupole degrees of freedom in 194 Pb is analyzed within the Generator Coordinate Method, which represents a step beyond the simple mean-field approximation. As a last example, we present a study of nuclear rotations. First we discuss results on superdeformed rotating bands in 192 Hg, 194 Hg and 194 Pb obtained without including a treatment of pairing correlations. Preliminary calculations are also presented with these correlations included as well as an approximate projection on nucleon number. THEORETICAL OUTLINETwo types of basic ingredients can be found in most mean field calculations; first a twobody nucleon-nucleon effective interaction, such as a Skyrme-type one, complemented by a pairing interaction. The many body wave function representing the nucleus is approximated by a Slater determinant or a BCS state. Then a minimization of its energy yields

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Section: Mean Field Calculationsmentioning

confidence: 98%

“…The minimization of this modified energy functional yields the constrained Hartree-Fock (CHF) equations [1][2][3]. As before, their solution gives a Slater determinant representing the many body wave function of the nucleus, subject to the chosen constraints.…”

Section: Theoretical Outlinementioning

confidence: 99%

Microscopic approach to collective motion

Bonche¹,

Chabanat

Chen

et al. 1994

Nuclear Physics A

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“…[244]) extensive theoretical efforts that now span a broad range of the periodic table, have been made in the last two decades, aimed at understanding both high-spin decays and fission. These have included non-fissile regions, typically using Hartree-Fock BCS or Strutinsky approaches, with and without full explorations over the (β, γ) deformation plane [245,246,247,248] with a number focussing on important details of the generator-coordinate methods [249,250,251]. There are numerous studies of fissile nuclei (for example Refs.…”

Section: Deformed Nuclei With a > 190: Extreme Shapes Fission And K mentioning

confidence: 99%

Review of metastable states in heavy nuclei

2016

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Abstract.The structure of nuclear isomeric states is reviewed in the context of their role in contemporary nuclear physics research. Emphasis is given to high-spin isomers in heavy nuclei, with A 150. The possibility to exploit isomers to study some of the most exotic nuclei is a recurring theme. In spherical nuclei, the role of octupole collectivity is discussed in detail, while in deformed nuclei the limitations of the K quantum number are addressed. Isomer targets and isomer beams are considered, along with applications related to energy storage, astrophysics, medicine, and experimental advances.

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“…At this point, we turned our attention to 66 Ni, for which mean-field calculations already predicted a secondary PES deep minimum [12][13][14][15][16]. We performed new theoretical and experimental studies of 66 Ni low-lying states, with a particular focus on 0 þ states.…”

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Multifaceted Quadruplet of Low-Lying Spin-Zero States in Ni66 : Emergence of Shape Isomerism in Light Nuclei

Leoni¹,

Fornal²,

Mărginean³

et al. 2017

Phys. Rev. Lett.

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þ states, pointing to the oblate, spherical, and prolate nature of the consecutive excitations. In addition, they account for the hindrance of the E2 decay from the prolate 0 þ 4 to the spherical 2 þ 1 state, although overestimating its value. This result makes 66 Ni a unique nuclear system, apart from 236;238 U, in which a retarded γ transition from a 0 þ deformed state to a spherical configuration is observed, resembling a shape-isomerlike behavior. DOI: 10.1103/PhysRevLett.118.162502 The concept of potential energy surface (PES) is central in many areas of physics. Usually, the PES displays the potential energy of the system as a function of its geometry. As an example, the PES of a molecule expressed in such coordinates as bond length, valence angles, etc., can be used for finding the minimum energy shape or calculating chemical reaction rates [1]. The idea of potential energy surface in deformation space has also been widely applied to the nucleus at a given spin. For an even-even nucleus at spin 0, the lowest PES minimum corresponds to the ground state (g.s.), while there may exist additional (secondary) minima in which excited 0 þ states can reside: they can be interpreted as ground states of different shapes [2][3][4][5][6]. When a secondary minimum is separated from the main minimum by a high barrier, in the extreme case a long-lived isomer, called shape isomer, can be formed [7]. Shape isomerism at spin zero, so far, has clearly been observed only in actinide nuclei -these isomers decay mainly by fission, and in two cases only, 236 U and 238 U, by very retarded γ-ray branches [8][9][10][11].The existence of shape isomers in lighter systems has been a matter of debate for a long time. Already in the 1980s, a study based on microscopic Hartree-Fock plus BCS calculations, in which a large number of nuclei was surveyed, identified ten isotopes in which a deformed 0 þ state is separated from a spherical structure by a significantly high barrier:66 Ni and 68 Ni, 190;192 Pt, 206;208;210 Os, and 194;196;214

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Superdeformation and shape isomerism at zero spin

Cited by 103 publications

References 22 publications

Microscopic approach to collective motion

Microscopic approach to collective motion

Review of metastable states in heavy nuclei

Multifaceted Quadruplet of Low-Lying Spin-Zero States in Ni66 : Emergence of Shape Isomerism in Light Nuclei

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