Studies of the electric dipole transition of deformed rare-earth nuclei

Hua-ying, JI; Long, Gui Lu; Zhao, En-Guang; Xu, Shuai

doi:10.1016/s0375-9474(99)00335-8

Cited by 10 publications

(4 citation statements)

References 40 publications

(88 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the case of 226 Ra the results of the pure SU(3) dynamical limit of the spdf -IBM are shown as well. The calculations in the SU(3) limit of spdf -IBM are performed using the Hamiltonian and matrix elements given in [24]. The values of the model parameters obtained in the fitting procedure are given in Table II. The 152 Sm and 150 Nd isotopes in the positive parity part (GSB and β band) of the spectrum are considered as examples of the X(5) critical point symmetry [25].…”

Section: A the Energy Spectramentioning

confidence: 99%

See 1 more Smart Citation

Simultaneous description of low-lying positive and negative parity bands in heavy even-even nuclei

Ganev

2014

Phys. Rev. C

View full text Add to dashboard Cite

The low-lying spectra including the first few excited positive and negative parity bands of some heavy even-even nuclei from the rare earth and actinide mass regions are investigated within the framework of the symplectic Interacting Vector Boson Model with Sp(12,R) dynamical symmetry group. Symplectic dynamical symmetries allow the change of the number of excitation quanta or phonons building the collective states providing for larger representation spaces and richer subalgebraic structures to incorporate more complex nuclear spectra. The theoretical predictions for the energy levels and the electromagnetic transitions between the collective states of the ground state band and K π = 0 − band are compared with experiment and some other collective models incorporating octupole and/or dipole degrees of freedom. The energy staggering which is a sensitive indicator of the octupole correlations in the even-even nuclei is also calculated and compared with experiment. The results obtained for the energy levels, energy staggering and transition strengths reveal the relevance of the used dynamical symmetry of the model for the simultaneous description of both positive and negative parity low-lying collective bands.

show abstract

Section: A the Energy Spectramentioning

confidence: 99%

Section: A the Energy Spectramentioning

confidence: 99%

Simultaneous description of low-lying positive and negative parity bands in heavy even-even nuclei

Ganev

2014

Phys. Rev. C

View full text Add to dashboard Cite

show abstract

“…Within the shell model (SM) context, SU(3) also appears in the pseudo-SU(3) model, proxy-SU(3) scheme, fermion dynamical symmetry model, Sp(6, R) model that includes multi-shell excitations and so on [4][5][6][7][8][9][10][11]. Similarly, within the interacting boson model (IBM) context, SU(3) appears not just in IBM-1 but also in proton-neutron IBM or IBM-2, IBM-3 or isospin invariant IBM, IBM-4 or spin-isospin invariant IBM, spdf IBM, sdgIBM, interacting boson-fermion models for odd-A and odd-odd nuclei, clustering models and so on [3,[12][13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

“…sdpf IBM [28,29] and also IBM-3 with isospin (T ) and IBM-4 with spin-isospin (ST ) degrees of freedom [25,30] all contain SU(3) symmetry generating rotational spectra. In addition, in IBM-3 and IBM-4 models, SU(3) also appears for isospin (T ) and spin-isospin (ST ) degrees of freedom respectively.…”

Section: Introductionmentioning

confidence: 99%

Multiple SU(3) Algebras in Interacting Boson Model and Shell Model

Kota

2020

SU(3) Symmetry in Atomic Nuclei

View full text Add to dashboard Cite

Rotational SU (3) algebraic symmetry continues to generate new results in the shell model (SM). Interestingly, it is possible to have multiple SU (3) algebras for nucleons occupying an oscillator shell η. Several different aspects of the multiple SU (3) algebras are investigated using shell model and also deformed shell model based on Hartree-Fock single particle states with nucleons in sdg orbits giving four SU (3) algebras. Results show that one of the SU (3) algebra generates prolate shapes, one oblate shape and the other two also generate prolate shape but one of them gives quiet small quadrupole moments for low-lying levels. These are inferred by using the standard form for the electric quadrupole transition operator and using quadrupole moments and B(E2) values in the ground K = 0 + band in three different examples. Multiple SU (3) algebras extend to interacting boson model and using sdgIBM, the structure of the four SU (3) algebras in this model are studied by coherent state analysis and asymptotic formulas for E2 matrix elements.The results from sdgIBM further support the conclusions from the sdg shell model examples.

show abstract

Introduction

Kota¹

2020

SU(3) Symmetry in Atomic Nuclei

View full text Add to dashboard Cite

Studies of the electric dipole transition of deformed rare-earth nuclei

Cited by 10 publications

References 40 publications

Simultaneous description of low-lying positive and negative parity bands in heavy even-even nuclei

Simultaneous description of low-lying positive and negative parity bands in heavy even-even nuclei

Multiple SU(3) Algebras in Interacting Boson Model and Shell Model

Introduction

Contact Info

Product

Resources

About