A shell-model interpretation of intruder states and the onset of deformation in even-even nuclei

Heyde, K.; Isacker, P. Van; Casten, R. F.; Wood, J. L.

doi:10.1016/0370-2693(85)91575-8

Cited by 148 publications

(101 citation statements)

References 18 publications

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“…the development of coexisting structures with different shapes, is a topic of great interest [1]. In this context the role of the monopole (and quadrupole) parts of the proton-neutron (p-n) interaction has previously been recognized [2]. It has been shown recently that in particular the monopole part of the tensor interaction plays a crucial role for the explanation of shell evolution with varying proton and neutron numbers (type I) [3] as well as for configuration-dependent shell evolution (type II) [4].…”

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First Measurement of Collectivity of Coexisting Shapes Based on Type II Shell Evolution: The Case of Zr96

et al. 2016

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“…≈ 0.24, (2) where R 0 = 1. In light of the experimental data obtained in this work a new shell model calculation for 96 Zr has been performed.…”

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First Measurement of Collectivity of Coexisting Shapes Based on Type II Shell Evolution: The Case of Zr96

et al. 2016

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“…In specific regions of the periodic table, unexpectedly low-lying excited 0 + states close in energy to the 0 + ground state have been observed. In the spherical shell model [3,7,8], the emergence of the low-lying excited 0 + states has been often attributed to multi-particle-multi-hole intruder excitations. This scenario may hold in mass regions near shell closure, the example being the neutrondeficient lead region.…”

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Shape coexistence in the microscopically guided interacting boson model

Nomura

Otsuka

Isacker

2016

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

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Abstract. Shape coexistence has been a subject of great interest in nuclear physics for many decades. In the context of the nuclear shell model, intruder excitations may give rise to remarkably low-lying excited 0 + states associated with different intrinsic shapes. In heavy open-shell nuclei, the dimension of the shell-model configuration space that includes such intruder excitations becomes exceedingly large, thus requiring a drastic truncation scheme. Such a framework has been provided by the interacting boson model (IBM). In this article we address the phenomenon of shape coexistence and its relevant spectroscopy from the point of view of the IBM. A special focus is placed on the method developed recently which makes use of the link between the IBM and the self-consistent mean-field approach based on the nuclear energy density functional. The method is extended to deal with various intruder configurations associated with different equilibrium shapes. We assess the predictive power of the method and suggest possible improvements and extensions, by considering illustrative examples in the neutron-deficient Pb region, where shape coexistence has been experimentally studied.

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“…In particular, the V pn values give the average interaction between the last protons and the last neutrons in even-even and even Z-odd N nuclei [18,19]: where B Z;N is the binding energy. Thus the present measurements of the masses of 223-229 Rn allows us to investigate the critical valence p-n interaction which affects many aspects of nuclear structure such as the single particle energies, magic numbers, collectivity, the onset of deformation, and the geometrical shapes in atomic nuclei [20][21][22].…”

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Discovery ofRn229and the Structure of the Heaviest Rn and Ra Isotopes from Penning-Trap Mass Measurements

et al. 2009

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The masses of the neutron-rich radon isotopes [223][224][225][226][227][228][229] Rn have been determined for the first time, using the ISOLTRAP setup at CERN ISOLDE. In addition, this experiment marks the first discovery of a new nuclide, 229 Rn, by Penning-trap mass measurement. The new, high-accuracy data allow a fine examination of the mass surface, via the valence-nucleon interaction V pn . The results reveal intriguing behavior, possibly reflecting either a N ¼ 134 subshell closure or an octupolar deformation in this region. DOI: 10.1103/PhysRevLett.102.112501 PACS numbers: 21.10.Dr, 21.30.Fe, 27.90.+b, 32.10.Bi The nuclear binding energy reflects the net effect of all aspects of the underlying fundamental forces [1]. Its evolution as a function of proton or neutron number provides information of great importance for nuclear structure. Joining the most basic nuclear characteristics of size and weight is that of shape, usually quantified by deformation, when a nucleus is considered not to be spherical.As the capacious valence orbitals of very heavy nuclides begin to fill with nucleons, increasing varieties of deformation become possible. It is well known [2] that one of these degrees of freedom, of importance in the light actinide nuclei, is that of octupole correlations and octupole deformations. Möller et al. [3] show octupole contributions to the binding energy and note that the strongest contribution is centered at 222 Rn. The role of octupole deformations, and therefore the study of their impact, is important in several respects. The existence of the actinides and the heaviest nuclei is specifically due to quantum effects in the underlying single particle levels which also manifest in associated collective correlations. The measurement of new masses in this region of octupole correlations therefore provides a significant constraint on future microscopic models, for example, in approaches exploiting density functional theory which is widely used in many areas of many-body physics [4]. Further, octupole correlations are known to greatly enhance the sensitivity to nuclear electric dipole moments: understanding the relations between masses and such correlations is therefore of importance in the wider context of tests of fundamental symmetries.Finally, another important impact of the study of masses in this region is to be found in the development of microscopic mass models for nucleosynthesis, which are particularly vulnerable in heavy nuclei.In this Letter we report on seven new masses of neutronrich radon nuclei including the new isotope 229 Rn, which marks the first discovery of a nuclide using a Penning-trap mass spectrometer. The results allow the extraction of important new values for the valence proton-neutron interaction in the A $ 222 mass region, confirming and significantly extending a unique anomaly in these interaction strengths that may indeed be related to octupole degrees of freedom in this region.Penning traps are used extensively [5] to provide accurate mass data of radionuclides wit...

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A shell-model interpretation of intruder states and the onset of deformation in even-even nuclei

Cited by 148 publications

References 18 publications

First Measurement of Collectivity of Coexisting Shapes Based on Type II Shell Evolution: The Case of Zr96

First Measurement of Collectivity of Coexisting Shapes Based on Type II Shell Evolution: The Case of Zr96

Shape coexistence in the microscopically guided interacting boson model

Discovery ofRn229and the Structure of the Heaviest Rn and Ra Isotopes from Penning-Trap Mass Measurements

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