Two-dimensional collective Hamiltonian for chiral and wobbling modes

Chen, Q. B.; Zhang, S. Q.; Zhao, P. W.; Jolos, R. V.; Meng, J.

doi:10.1103/physrevc.94.044301

Cited by 51 publications

(53 citation statements)

References 62 publications

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“…5(a) band can be reproduced well. For its partner band, further extensions going beyond the mean field by using, for instance, the methods of the random phase approximation [12] or the collective Hamiltonian [47,48] will be required in the framework of DFTs.…”

Section: Resultsmentioning

confidence: 99%

Multiple chirality in nuclear rotation: A microscopic view

Zhao

2017

Physics Letters B

102

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Covariant density functional theory and three-dimensional tilted axis cranking are used to investigate multiple chirality in nuclear rotation for the first time in a fully self-consistent and microscopic way. Two distinct sets of chiral solutions with negative and positive parities, respectively, are found in the nucleus 106 Rh. The negative-parity solutions reproduce well the corresponding experimental spectrum as well as the B(M 1)/B(E2) ratios of the transition strengths. This indicates that a predicted positive-parity chiral band should also exist. Therefore, it provides a further strong hint that multiple chirality is realized in nuclei. two chiral systems differ from each other by their intrinsic chirality, and are thus related by the chiral operator T R(π) that combines time reversal T and spatial rotation by π.The broken chiral symmetry in the body-fixed frame should be restored in the laboratory frame. This gives rise to the so-called chiral doublet bands, which consist of a pair of nearly-degenerate ∆I = 1 sequences with the same parity (for reviews see Refs. [2,3]).The chiral geometry of a rotating triaxial nucleus requires substantial angular momentum components along all of the three principal axes. For actual nuclear systems, this relates to configurations where high-j valence particles and holes align along the short and long axes, respectively, and the collective core rotates around the intermediate axis.Based on such configurations, so far, many candidates for chiral doublet bands have been reported experimentally in the A ∼ 80, 100, 130, and 190 mass regions of the nuclear chart; see e.g.Figure 1: (color online). A schematic picture for the aplanar rotation of a triaxial nucleus. The arrow J denotes the total angular momentum vector, and the short, intermediate, and long axes are denoted by x, y, and z, respectively.These observations indicate that chirality is not restricted to a specific configuration in a certain mass region. In particular, two pairs of chiral bands with different configurations were discussed respectively in Refs. [8,9] for 105 Rh. The resultant possibility of having more than one pair of chiral bands in a single nucleus was demonstrated by searching for triaxial chiral configurations in Rh isotopes using constrained relativistic mean-field calculations in Ref. [19], which introduced the acronym MχD for multiple chiral doublet bands. Further studies were carried out in Refs. [20,21,22]. Strong

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Section: Resultsmentioning

confidence: 99%

Multiple chirality in nuclear rotation: A microscopic view

Zhao

2017

Physics Letters B

102

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“…Theoretically, various approaches have been developed extensively to investigate chiral doublet bands. For example, the particle rotor model (PRM) [1,33,34,38,[45][46][47], the titled axis cranking (TAC) model [31,32,44,48], the TAC plus random-phase approximation (RPA) [49], the collective Hamiltonian method [50,51], the interacting boson-fermionfermion model [52], and the angular momentum projection (AMP) method [39,40,[53][54][55]. In this work, the PRM will be used.…”

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confidence: 99%

Reexamining nuclear chiral geometry from the orientation of the angular momentum

Chen

Meng

2018

Phys. Rev. C

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“…So far, around 40 candidates of chiral doublet bands have been reported in A ∼ 80 [3,4], 100 [5][6][7][8][9][10], 130 [2,[11][12][13][14][15][16] and 190 [17,18] mass regions experimentally, see [19][20][21] for reviews. Theoretically, the chiral doublet bands are studied by the particle rotor model (PRM) [1,[22][23][24][25], the titled axis cranking (TAC) model [1,[26][27][28][29], the TAC plus random phase approximation [30], the collective Hamiltonian [31,32], and the interacting boson-fermion-fermion model (IBFFM) [33][34][35].…”

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confidence: 99%

Chiral geometry in symmetry-restored states: Chiral doublet bands in 128Cs

Chen

Luo

et al. 2017

Phys. Rev. C

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The pairing-plus-quadrupole Hamiltonian is diagonalized in a symmetry restored basis, i.e., the triaxial quasiparticle-states with angular momentum and particle number projections, and applied for chiral doublet bands in 128 Cs. The observed energy spectra and electromagnetic transition probabilities are reproduced well without introducing any parameter. The orientation of the angular momentum in the intrinsic frame is investigated by the distributions of its components on the three principle axes as well as those of its tilted angles. The evolution of the chirality with spin is illustrated and the chiral geometry is demonstrated in the angular momentum projected model for the first time.

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Two-dimensional collective Hamiltonian for chiral and wobbling modes

Cited by 51 publications

References 62 publications

Multiple chirality in nuclear rotation: A microscopic view

Multiple chirality in nuclear rotation: A microscopic view

Reexamining nuclear chiral geometry from the orientation of the angular momentum

Chiral geometry in symmetry-restored states: Chiral doublet bands in 128Cs

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