Monte Carlo shell model for atomic nuclei

Otsuka, T.; Honma, Mareki; Mizusaki, T.; Shimizu, Noritaka; Utsuno, Yutaka

doi:10.1016/s0146-6410(01)00157-0

Cited by 323 publications

(255 citation statements)

References 120 publications

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“…As shown in Table 2, even with 7%÷ 8% of the basis states, the J values coincide with the exact ones up to the second or third decimal digit. Thus, although the subspaces selected according to the sampling criterion (9) are not strictly J-invariant, the invariance is eventually restored by a relatively small fraction of basis states. Apparently, the components left out by the sampling are small and of little relevance to all observables.…”

Section: Numerical Implementation and Resultsmentioning

confidence: 99%

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A diagonalization algorithm revisited and applied to the nuclear shell model

Bianco

Andreozzi

Iudice

et al. 2011

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

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Section: Numerical Implementation and Resultsmentioning

confidence: 99%

“…The MC technique is used in the quantum Monte Carlo diagonalization (QMCD) method [8,9] just to generate stochastically a truncated basis. This is then used to diagonalize the Hamiltonian.…”

Section: Introductionmentioning

confidence: 99%

A diagonalization algorithm revisited and applied to the nuclear shell model

Bianco

Andreozzi

Iudice

et al. 2011

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

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“…The delineation of levels up to several MeV in excitation energy in these nuclei is an important step towards providing a firmer understanding of their properties through comparisons with modern theoretical models. Much of this effort has been concentrated thus far on 68 Ni itself, with substantial improvements made to the level scheme [30][31][32] and deduced decay rates [12,31], as well as with comparisons of the data with Monte-Carlo shellmodel (MCSM) calculations [33,34]. The latter have provided strong evidence for coexisting spherical, oblate, and prolate shapes in this nucleus [12,13].…”

Section: Introductionmentioning

confidence: 99%

Identification of deformed intruder states in semi-magicNi70

et al. 2015

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The structure of semi-magic 70 28 Ni 42 was investigated following complementary multinucleontransfer and secondary fragmentation reactions. Changes to the higher-spin, presumed negativeparity states based on observed γ-ray coincidence relationships result in better agreement with shell-model calculations using effective interactions in the neutron f 5/2 pg 9/2 model space. The second 2 + and (4 + ) states, however, can only be successfully described when proton excitations across the Z = 28 shell gap are included. Monte-Carlo shell-model calculations suggest that the latter two states are part of a prolate-deformed intruder sequence, establishing an instance of shape coexistence at low excitation energies similar to that observed recently in neighboring 68 Ni.

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“…In particular, it became possible to assess transition probabilities between states of different shapes, and to search for retarded decays which would be the signature of a shape-isomerlike structure. Monte Carlo shell model (MCSM) studies [23][24][25][26] have been performed for the neutron-rich 68-78 Ni isotopes and coexistence of low-lying spherical, oblate, and strongly deformed prolate shapes has been found in 68 Ni and 70 Ni [17,18]. A significant hindrance for the E2 transition deexciting the prolate deformed 0 þ state was predicted in 68 Ni only.…”

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confidence: 99%

“…We performed new theoretical and experimental studies of 66 Ni low-lying states, with a particular focus on 0 þ states. The theoretical investigation was carried out within the Monte Carlo shell model [23][24][25][26], using the same Hamiltonian and model space as the ones previously employed for [68][69][70][71][72][73][74][75][76][77][78] Ni [17]. Figure 1 shows the potential energy surface of 66 Ni, obtained similarly to Refs.…”

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confidence: 99%

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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Monte Carlo shell model for atomic nuclei

Cited by 323 publications

References 120 publications

A diagonalization algorithm revisited and applied to the nuclear shell model

A diagonalization algorithm revisited and applied to the nuclear shell model

Identification of deformed intruder states in semi-magicNi70

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

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