Rotational bands of 159Dy

Sugawara, M.; Mitarai, S.; Kusakari, H.; Oshima, M.; Hayakawa, Takehito; Toh, Y.; Hatsukawa, Y.; Katakura, J.; Iimura, H.; Zhang, Y.H.; Sugie, M.; Sato, Yasuhiko

doi:10.1016/s0375-9474(01)01280-5

Cited by 23 publications

(20 citation statements)

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“…For a nuclear system with an odd particle number, the favored signature defined by α f = 1/2 × (−1) j −1/2 is usually lower in energy with respect to the unfavored one α uf = 1/2 × (−1) j +1/2 , where j is the angular momentum of the subshell associated with the odd particle. However, this rule is broken in some odd-A nuclei [3,[6][7][8][13][14][15]; the expected favored branch lies higher in energy than the unfavored one after the first band crossing. This phenomenon is known as the signature inversion [13].…”

Section: Introductionmentioning

confidence: 98%

“…In the well-deformed 160 mass region, the properties of rotational bands in nuclei have been studied extensively [1][2][3][4][5][6][7][8][9][10][11]. In the odd-N nuclei with a prolate deformation, the neutron Fermi surface is located at the i 13/2 , h 9/2 , f 7/2 , and h 11/2 subshells, and variant types of rotational bands were observed experimentally [1][2][3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

“…In the odd-N nuclei with a prolate deformation, the neutron Fermi surface is located at the i 13/2 , h 9/2 , f 7/2 , and h 11/2 subshells, and variant types of rotational bands were observed experimentally [1][2][3][4][5][6][7][8]. These bands exhibit interesting large signature splitting, anomalous band-crossing frequency, and signature inversion, among which the mechanism of signature inversion after band crossing in the odd-N nuclei was not well understood [3,[6][7][8]. Signature quantum number α, describing the invariance of the intrinsic Hamiltonian of an axially deformed nucleus with respect to 180 • rotation around a principal axis, is a conserved quantum number [12,13].…”

Section: Introductionmentioning

confidence: 99%

“…Great efforts have been devoted to the understanding of signature inversion mechanisms, and the nuclear triaxiality, band crossing, and shape change have been proposed as possible reasons [13,16,17]. The signature inversion in the 3/2 − [521] band was observed in the isotones 163 Yb [7] and 159 Dy [8], and the isotopes 159 Er [6] and * zxh@impcas.ac.cn 163 Er [3] of 161 Er. Therefore, it is important to search for the signature inversion in 161 Er, and systematically analyze this phenomenon.…”

Section: Introductionmentioning

confidence: 99%

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Properties of the rotational bands inEr161

et al. 2011

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High-spin states in 161 Er have been studied experimentally using the 150 Nd( 16 O,5n) reaction at a beam energy of 86 MeV. The 5/2 + [642], 3/2 − [521], and 11/2 − [505] bands are extended up to high-spin states, and particularly the α = −1/2 branch of the ground state 3/2 − [521] band is revised significantly. The relatively enhanced E1 transitions from the 3/2 − [521] band to the 5/2 + [642] band are observed. The band properties are analyzed within the framework of a triaxial particle-rotor model, and near-prolate shape and triaxial deformation are proposed to the 3/2 − [521] and 5/2 + [642] bands, respectively. Signature inversion occurs in the 3/2 − [521] band after the band crossing in 161 Er, and the systematics of the signature inversion associated with the 3/2 − [521] configuration are discussed. By analyzing the properties of the relatively enhanced E1 transitions, it is found that the R(E1/E2) values show angular momentum dependence before the band crossing, and these enhanced E1 transitions could be attributed to octupole softness.

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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Properties of the rotational bands inEr161

et al. 2011

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“…As it is clear in Eqs. (26), the ratio is quite sensitive to the geometry of the angular momentum vector in the body-fixed frame. In terms of the TAC scheme, the vector of the total angular momentum is orienting toward the x-axis (the axis of collective rotation) from the z-axis (the symmetry axis) as increasing the rotational frequency.…”

Section: Resultsmentioning

confidence: 99%

Calculation of strongly-coupled rotational bands in terms of the tilted axis cranking model

Ohtsubo

Shimizu

2003

Nuclear Physics A

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Recently observed strongly-coupled rotational bands associated with the ν [505] IntroductionBohr-Mottelson's strong-coupling model [1] is the first pioneering work which is capable to describe interplay between the collective and the single-particle rotational motions in well-deformed nuclei. It successfully reproduce both the energy spectra and the electromagnetic transition properties of rotational bands in odd nuclei. It is, however, of phenomenological nature since essential quantities like the moment of inertia and the quadrupole moment are model-parameters and are adjusted in comparison with experimental data. One has to combine it with a more microscopic model such as the Nilsson single-particle model. Another drawback of the model is that it is based on the adiabatic assumption of the collective rotation and the application to the high angular momentum regime is not straightforward. The particle-rotor model [1, 2] is a possible means to extend the idea by lifting the adiabatic assumption and including the effect of Coriolis coupling by exact diagonalization, although it is still semi-phenomenological in the sense that the macroscopic "rotor" part is explicitly introduced. Nowadays, fully microscopic approaches are available, for example, the variation after full angular momentum projection base on the generalized mean-field [3] and the projected shell model [4]. However, they are very complicated and lose simplicity of the model. On the other hand, by taking into account the effect of rotation unperturbatively, the mean-field theory has been extended in the rotating frame: The cranking model or the Cranked Shell Model (CSM) [5], which is simple and yet microscopic, has been successfully applied to understand various high-spin phenomena [6] such as backbending of moment of inertia. Recently, this cranking model has been further extended in such a way to include the tilting degrees of freedom of rotation-axis relative to the deformed shape; the Tilted Axis Cranking (TAC) model [7,8,9] (the conventional cranking is called the Principal Axis Cranking (PAC) model, instead), which gives nice interpretations of new types of nuclear rotational motions, e.g. the shears bands [10] and the chiral bands [9,11]. Although these cranking models treat the rotational motion in a semiclassical manner, its simplicity allows us to have a clear physical picture of various collective rotational motions, which are actually a result of the complex nuclear many-body problem.The purpose of the present paper is two folds: The first is to give a clear relationship between the strong-coupling model and the TAC model. The second is to apply the TAC model to the 1

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66-Dysprosium

Sukhoruchkin¹,

Soroko²

Tables of Excitations From Reactions With Charged Particles. Part 3: Z = 63 - 99

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Rotational bands of 159Dy

Cited by 23 publications

References 20 publications

Properties of the rotational bands inEr161

Properties of the rotational bands inEr161

Calculation of strongly-coupled rotational bands in terms of the tilted axis cranking model

66-Dysprosium

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