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Title: Jacobi-type transitions in the interacting boson model

Authors:
;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1361930
Grant/Contract Number:
FG-02-91ER-40608
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 95; Journal Issue: 6; Related Information: CHORUS Timestamp: 2017-06-07 22:08:47; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Zhang, Y., and Iachello, F. Jacobi-type transitions in the interacting boson model. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.95.061304.
Zhang, Y., & Iachello, F. Jacobi-type transitions in the interacting boson model. United States. doi:10.1103/PhysRevC.95.061304.
Zhang, Y., and Iachello, F. Wed . "Jacobi-type transitions in the interacting boson model". United States. doi:10.1103/PhysRevC.95.061304.
@article{osti_1361930,
title = {Jacobi-type transitions in the interacting boson model},
author = {Zhang, Y. and Iachello, F.},
abstractNote = {},
doi = {10.1103/PhysRevC.95.061304},
journal = {Physical Review C},
number = 6,
volume = 95,
place = {United States},
year = {Wed Jun 07 00:00:00 EDT 2017},
month = {Wed Jun 07 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on June 7, 2018
Publisher's Accepted Manuscript

Citation Metrics:
Cited by: 1work
Citation information provided by
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  • A line of first order phase transitions terminating in a second order phase transition separates the parameter space of the interacting boson model into a vibrator region (U(59) limit) and a rotor region (SU(3) and O(6) limits). This first order phase transition line is surrounded by two spinodal lines demarking the limits of metastable nuclear isomers. No other islands of metastability exist in this parameter space.
  • The branching ratios of the collective levels in /sup 128/Xe were discussed in the framework of the proton-neutron interacting boson model . It is shown that the experiment is only consistent with rather small M1 admixtures among the low-lying collective levels. These small M1 matrix elements imply strong constraints on the proton-neutron interacting boson model Hamiltonian.
  • The 1/{ital N} expansion method, which is an angular momentum projected mean field theory, is used to investigate the nature of electromagnetic transitions in the interacting boson model. Conversely, comparison with the exact interacting boson model results sheds light on the range of validity of the mean field theory. It is shown that the projected mean field results for the {ital E}2 transitions among the ground, {beta}, and {gamma} bands are incomplete for the spin-dependent terms, and it is essential to include band mixing effects for a correct (Mikhailov) analysis of {ital E}2 data. The algebraic expressions derived are generalmore » and will be useful in the analysis of experimental data in terms of both the {ital sd} and {ital sdg} boson models.« less
  • We study the order of the zero temperature quantum phase transitions at density [rho]=1 in the one-dimensional extended boson Hubbard model by examining the order parameter distribution and hysteresis effects. The phase diagram of the model at [rho]=1/2, a generalization of the spin-1/2 [ital XXZ] Hamiltonian, is also obtained, and the possibility of a supersolid region is discussed.
  • The phase transition around the critical point in the evolution from spherical to deformed {gamma}-unstable shapes is investigated in odd nuclei within the interacting boson fermion model. We consider the particular case of an odd j=3/2 particle coupled to an even-even boson core that undergoes a transition from spherical U(5) to {gamma}-unstable O(6) situation. The particular choice of the j=3/2 orbital preserves in the odd case the condition of {gamma}-instability of the system. As a consequence, energy spectrum and electromagnetic transitions, in correspondence of the critical point, display behaviors qualitatively similar to those of the even core. The results aremore » also in qualitative agreement with the recently proposed E(5/4) model, although few differences are present, due to the different nature of the two schemes.« less