Breaking of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>8</mml:mn></mml:mrow></mml:math>magicity in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mn>13</mml:mn></mml:msup></mml:math>Be

Kanada-En’yo, Yoshiko

doi:10.1103/physrevc.85.044320

Cited by 33 publications

(58 citation statements)

References 61 publications

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“…One is the di-cluster wave function of α + 6 He which has been used in Ref. [44]. The other is the tri-cluster wave function of α + α + 2n.…”

Section: Formulationmentioning

confidence: 99%

“…, 6 are superposed in order to describe all (0p) 2 configurations of valence neutrons coupled to be 0 + and 2 + states of 6 He in the α + 6 He wave function (see Ref. [44] for the details of configurations). It should be commented that the α + 6 He model treats each configuration of (p 3/2 ) 2 and (p 1/2 ) 2 as well as their mixing in the 6 He cluster.…”

Section: Basis Wave Functionsmentioning

confidence: 99%

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Low-energy dipole excitation modes in $^{10}$Be

Shikata

Kanada-En’yo

Morita

2019

Progress of Theoretical and Experimental Physics

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Low-energy dipole excitations in 10 Be were investigated based on the generator coordinate method with α + 6 He and α + α + 2n cluster models. We obtained three 1 − states in E x < 15 MeV, which show different characters in the E1, compressive dipole, and toroidal dipole transition strengths. We found the strong toroidal dipole transition in the 1 − 1 state, remarkable E1 strength in the 1 − 2 state, and the strong E1 and compressive dipole strength in the 1 − 3 state. The 1 − 1 is described by the α + 6 He cluster structure, where as the 1 − 2 and 1 − 3 states are understood by three-body excitations of the α + α + 2n clustering.

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“…One is the di-cluster wave function of α + 6 He which has been used in Ref. [44]. The other is the tri-cluster wave function of α + α + 2n.…”

Section: Formulationmentioning

confidence: 99%

Section: Basis Wave Functionsmentioning

confidence: 99%

Low-energy dipole excitation modes in $^{10}$Be

Shikata

Kanada-En’yo

Morita

2019

Progress of Theoretical and Experimental Physics

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“…Ref. [58] and references cited therein), that is, the valence neutrons form a π-bond in the equilibrium state and a σ-bond in the excited state shown in Fig. 9.…”

Section: Cluster Structures In Nuclei Far From Stabilitymentioning

confidence: 99%

Density functional theory studies of cluster states in nuclei

et al. 2014

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The framework of nuclear energy density functionals is applied to a study of the formation and evolution of cluster states in nuclei. The relativistic functional DD-ME2 is used in triaxial and reflection-asymmetric relativistic Hartree-Bogoliubov calculations of relatively light N = Z and neutron-rich nuclei. The role of deformation and degeneracy of single-nucleon states in the formation of clusters is analyzed, and interesting cluster structures are predicted in excited configurations of Be, C, O, Ne, Mg, Si, S, Ar and Ca N = Z nuclei. Cluster phenomena in neutron-rich nuclei are discussed, and it is shown that in neutron-rich Be and C nuclei cluster states occur that are characterized by molecular bonding of α-particles by the excess neutrons.

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“…We apply the antisymmetrized molecular dynamics (AMD), which has already been successfully applied to the breaking of neutron magic number N = 8 [27][28][29] and 20 [30][31][32], combined with the generator coordinate method (GCM) using generator coordinates of the quadrupole deformation parameters β and γ . We use the Hamiltonian,…”

mentioning

confidence: 99%

Prolate, oblate, and triaxial shape coexistence, and the lost magicity ofN=28in43S

et al. 2013

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We report the low-lying spectrum and collective β and γ deformation of 43 S as investigated by antisymmetrized molecular dynamics. Our result successfully explains the observed data including an isomeric 7/2 − 1 state and illustrates the coexistence of the prolate-deformed ground band with a vanishing N = 28 shell gap, a triaxially deformed isomeric state, and an oblate-deformed excited band at very low excitation energies. The erosion of the shell gap and the migration of neutron magic numbers such as N = 8 [1] and 20 [2] far from stability have been important and fascinating subjects in nuclear structure physics [3]. The N = 28 shell closure in neutron-rich Si and S isotopes has received considerable experimental [4][5][6][7][8][9][10][11][12][13] and theoretical attention [14][15][16][17][18][19][20][21][22][23]. Experimental data [5,6,[8][9][10][11] indicate gradual quenching of the N = 28 shell gap toward neutron-rich isotones and the onset of deformation in N ≈ 28 S and Si isotopes. Unlike the case of smaller magic numbers, the neutron single-particle levels f 7/2 and p 3/2 that compose the N = 28 shell gap belong to the same major shell in the absence of spin-orbit splitting, and their angular momentum differs by 2. Therefore, we can expect that quenching of the N = 28 shell gap induces strong quadrupole correlations, which will lead to the coexistence of various deformed states [24]. For example, observation of low-lying states [25] and theoretical calculations [22,23] suggest shape coexistence in 44 S. In the vicinity of 44 S, 43 S is of particular importance and interest for the following reasons. First, 43 S has an odd number of neutrons. Thus, its low-lying spectrum provides direct information on the neutron single-particle levels. Second, and more importantly, it is believed to have a prolate-deformed ground state and a very low-lying isomeric 7/2 − 1 state at 319 keV, which has been interpreted in the shell model framework as resulting from an inversion of the normal (νf 7/2 ) −1 and deformed intruder (νp 3/2 ) 1 configurations [12]. More recently, measurement of the electric quadrupole moment of the 7/2 − 1 state [26] has shown that it deviates from the pure spherical (νf 7/2 ) −1 configuration, suggesting possible shape coexistence driven by quenching of the N = 28 shell gap and the resulting strong quadrupole correlation. Therefore, a theoretical calculation that can describe the quadrupole collectivity in a large model space is essential for revealing the nature of this shape coexistence far from stability.In this Rapid Communication, we report triaxial deformation of the isomeric 7/2 − 1 state and the shape coexistence of prolate, triaxial, and oblate deformation of 43 S at excitation energies of less than 2 MeV. We apply the antisymmetrized molecular dynamics (AMD), which has already been successfully applied to the breaking of neutron magic number N = 8 [27][28][29] and 20 [30][31][32], combined with the generator coordinate method (GCM) using generator coordinates of the quadrupole deforma...

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Breaking ofN=8magicity in13Be

Cited by 33 publications

References 61 publications

Low-energy dipole excitation modes in $^{10}$Be

Low-energy dipole excitation modes in $^{10}$Be

Density functional theory studies of cluster states in nuclei

Prolate, oblate, and triaxial shape coexistence, and the lost magicity ofN=28in43S

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