Role of chirality in angular momentum coupling for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>A</mml:mi><mml:mi>∼</mml:mi><mml:mn>130</mml:mn></mml:math>odd-odd triaxial nuclei:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>132</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">La</mml:mi></mml:math>

Starosta, K.; Chiara, C. J.; Fossan, D. B.; Koike, T.; Kuo, T.T.S.; LaFosse, D. R.; Rohoziński, S. G.; Droste, Ch.; Morek, T.; Srebrny, J.

doi:10.1103/physrevc.65.044328

Cited by 113 publications

(84 citation statements)

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“…Such chiral doublet bands were first identified in four N = 75 isotones in 2001 [2]. So far, many chiral candidate nuclei have been reported experimentally in the A ∼ 80, 100, 130, and 190 mass regions [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. Besides the simplest chiral configurations composed of one unpaired proton and neutron, composite chiral configurations, containing more than one unpaired protons and/or neutrons, have also been observed in the odd-mass or even-even neighbors of the odd-odd chiral nuclei [10,18].…”

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Multiple Chiral Doublet Bands of Identical Configuration inRh103

et al. 2014

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Three sets of chiral doublet band structures have been identified in the 103 Rh nucleus. The properties of the observed chiral doublet bands are in good agreement with theoretical results obtained using constrained covariant density functional theory and particle rotor model calculations. Two of them belong to an identical configuration, and provide the first experimental evidence for a novel type of multiple chiral doublets, where an "excited" chiral doublet of a configuration is seen together with the "yrast" one. This observation shows that the chiral geometry in nuclei can be robust against the increase of the intrinsic excitation energy.PACS numbers: 21.10. Hw,21.10.Re,23.20.Lv A novel form of spontaneous symmetry breaking, the chiral rotation of triaxial nuclei, was suggested in 1997 [1]. It was shown that in special circumstances, referred to as chiral geometry, in the intrinsic frame of the rotating triaxial nucleus the total angular momentum vector lies outside the three principal planes. Thus, its components along the principal axes can be oriented in leftand right-handed ways. In the laboratory frame the chiral symmetry is restored, which manifests itself as a pair of ∆I = 1 nearly degenerate bands with the same parity. Such chiral doublet bands were first identified in four N = 75 isotones in 2001 [2]. So far, many chiral candidate nuclei have been reported experimentally in the A ∼ 80, 100, 130, and 190 mass regions [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. Besides the simplest chiral configurations composed of one unpaired proton and neutron, composite chiral configurations, containing more than one unpaired protons and/or neutrons, have also been observed in the odd-mass or even-even neighbors of the odd-odd chiral nuclei [10,18]. These observations show that chirality is not restricted to a certain configuration in a mass region, i.e. the chiral geometry can be robust against the change of configuration. It was even demonstrated recently by Meng et al. [22][23][24][25], based on adiabatic and configuration-fixed constrained triaxial covariant density functional theory (CDFT) calculations, that it is possible to have multiple pairs of chiral doublet bands in a single nucleus, and the acronym MχD was introduced for this phenomenon. The first experimental evidence for the predicted MχD has been reported in 133 Ce [26], and also possibly in 107 Ag [27].It is also interesting to study the robustness of chiral geometry against the increase of the intrinsic excitation energy, i.e. if the chiral geometry is sustained in the higher-lying bands of a certain chiral configuration. In all the known cases the chiral doublet corresponds to the two lowest-lying bands of a configuration. Even for MχD in133 Ce [26] and 107 Ag [27], each chiral doublet structure corresponds to two lowest-lying bands with a distinct configuration. Therefore, study of the third and forth bands of the same chiral configuration is needed to answer the question of the investigated robustness. Very recent ...

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Multiple Chiral Doublet Bands of Identical Configuration inRh103

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“…When the pairing correlations may be neglected the model is reduced to a form with the particles (and holes) instead of the quasiparticles. One of such versions is the Core-Particle-Hole Coupling (CPHC) model [8] in which the odd-odd nucleus is treated as the system containing the even-even core, the odd proton and the odd neutronhole. Such a three-body system is a natural candidate for the one with the chiral geometry.…”

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“…The eigenvalue equation for coefficients U Ii (ρ, σ, L, R, r) is obtained by using the techniques of the CPHC model and is given in [8,22]. The corresponding Hamiltonian matrix for a given I takes the form [8,22] …”

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“…All details of the CPHC model, which we apply to modelling odd-odd nuclei, are given in refs. [8,22]. We assume that the pairing correlations can be neglected, and the odd valence particles are a proton and a neutron-hole.…”

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“…Subsequently, various versions of the rotor-quasiparticle/ particle-hole model were applied to different nuclei, and the chirality phenomenon was investigated [8][9][10][11][12][13][14]. The rigidity and the maximal triaxiality (γ = 30…”

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Odd-odd nuclei as the core-particle-hole systems and chirality

et al. 2011

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Abstract. Odd-odd nuclei treated as core-particle-hole systems with various collective cores and various particle-hole configurations are investigated within the Core-Particle-Hole Coupling (CPHC) model. A new symmetry, called the S-symmetry, is identified as a combination of the α-parity of the collective core and the proton-neutron symmetry of the valence proton and neutron in particle-hole configurations involving single-particle states with the same quantum numbers. It is found that the S-symmetric odd-odd nuclei show signatures which are usually considered as fingerprints of nuclear chirality, namely doublet band structure with a particular pattern of electromagnetic transitions. Reported results imply that the rigid rotor with a symmetric valence proton-neutron configuration is only a special case of the system with the novel S-symmetry. Therefore, it is an open question whether the chiral fingerprints discussed so far identify uniquely the orthogonal coupling of angular momentum in the intrinsic system.

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Triaxiality and Chirality in Nuclei Around Mass 130

Yoshinaga

Higashiyama

Symmetries in Science XI

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Nuclei around mass 130 have many interesting features such as high-spin isomers, backbending phenomena, even-odd energy staggering of quasi-γ band caused by a soft triaxial deformation, and features recently referred to as "chiral bands". Moreover, the beta-decays and electron-captures in this region provide us with necessary information for predicting the abundance of nuclei in the environment of super-nova explosions. The nuclei in this region are neither vibrational nor rotational. Thus it is very difficult to treat them in terms of conventional mean field theories. To overcome this difficulty, we construct many-body states in terms of collective nucleon pairs which have angular momenta zero (S) and two (D). The purpose of this paper is to understand many seemingly different features in this region in a self-consistent and unified way. In order to understand systematics, we introduce effective interactions which depend smoothly on the neutron and proton numbers. It is found that energy spectra of the yrast and quasi-γ-bands of Xe, Ba and Ce isotopes are nicely reproduced along with inter-and intra-band E2 transitions, which simulate the typical features of the O(6) limit of the interacting boson model. The description of even-even nuclei in terms of S and D pairs is, however, not enough for the backbending phenomena. For the description of these phenomena we introduce another pair made of neutrons only in the h 11/2 orbital. The extended model quite well reproduces the backbending phenomena of yrast bands and also the nature of 10 + isomers in this region. For the description of the phenomena in nuclei with odd mass number, we need to extend our model space to include an unpaired particle in addition to the even-even core, and for odd-odd nuclei we need both an unpaired proton and an unpaired neutron. Energy spectra of odd-A Xe, Ba and Ce isotopes are found to be quite well reproduced by this simple extension of the model.In some of odd-odd nuclei, chiral bands have been reported, where the three angular momenta of the neutron, the proton and the even-even core can form both right-handed and left-handed systems, which cannot be transformed into each other by rotations. Our model can reproduce spectra of these experimental doublet bands quite naturally, and predicts the E2 and M 1 features of these bands, most of which are not observed experimentally.

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Role of chirality in angular momentum coupling forA∼130odd-odd triaxial nuclei:132La

Cited by 113 publications

References 38 publications

Multiple Chiral Doublet Bands of Identical Configuration inRh103

Multiple Chiral Doublet Bands of Identical Configuration inRh103

Odd-odd nuclei as the core-particle-hole systems and chirality

Triaxiality and Chirality in Nuclei Around Mass 130

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