Configuration mixing of angular-momentum-projected triaxial relativistic mean-field wave functions. II. Microscopic analysis of low-lying states in magnesium isotopes

Yao, J. M.; Mei, Hua; Chen, H.; Meng, J.; Ring, P.; Vretenar, Dario

doi:10.1103/physrevc.83.014308

Cited by 111 publications

(136 citation statements)

References 51 publications

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“…In Fig. 4, the angular momentum projected energy curves (without PNP) of J = 0 with the average particle numbers constrained [45,46] are also included (dashdouble-dotted line). By comparison one can see that the exact PNP shifts the position of the energy minimum for 150 Nd to smaller deformation.…”

Section: Resultsmentioning

confidence: 99%

“…The spin-orbit potential is included naturally and uniquely, as well as the time-odd components of the nuclear mean field. With the merits inherited, this method has also been generalized beyond the static mean-field level by the RPA [35,36] and QRPA [37][38][39][40] or by the multireference CDFT (MR-CDFT) method [41][42][43][44][45][46][47], so that it could be applied for the description of the excited states, electromagnetic properties, and the weak transitions including the singleand double-β decay.…”

Section: Introductionmentioning

confidence: 99%

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Relativistic description of nuclear matrix elements in neutrinoless double-βdecay

et al. 2014

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Background: Neutrinoless double-β (0νββ) decay is related to many fundamental concepts in nuclear and particle physics beyond the standard model. Currently there are many experiments searching for this weak process. An accurate knowledge of the nuclear matrix element for the 0νββ decay is essential for determining the effective neutrino mass once this process is eventually measured.Purpose: We report the first full relativistic description of the 0νββ decay matrix element based on a state-ofthe-art nuclear structure model. Methods:We adopt the full relativistic transition operators which are derived with the charge-changing nucleonic currents composed of the vector coupling, axial-vector coupling, pseudoscalar coupling, and weak-magnetism coupling terms. The wave functions for the initial and final nuclei are determined by the multireference covariant density functional theory (MR-CDFT) based on the point-coupling functional PC-PK1. Correlations beyond the mean field are introduced by configuration mixing of both angular momentum and particle number projected quadrupole deformed mean-field wave functions. Results:The low-energy spectra and electric quadrupole transitions in 150 Nd and its daughter nucleus 150 Sm are well reproduced by the MR-CDFT calculations. The 0νββ decay matrix elements for both the 0

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Relativistic description of nuclear matrix elements in neutrinoless double-βdecay

et al. 2014

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“…These features were recognized in the GCM studies (e.g., in Ref. [38]) also. For the Pt isotopes, the magnitude of E Corr decreases with N, indicating that a clear transition is not expected for these nuclei.…”

Section: B Correlation Energiesmentioning

confidence: 99%

“…Popular EDFs are the nonrelativistic Skyrme [6,29,30] and Gogny [31,32] ones, as well as relativistic mean-field Lagrangians [33]. To describe nuclear spectroscopy one should go beyond the mean-field approximation to take into account the restorations of broken symmetries and/or the configuration mixing of intrinsic states in the spirit of the generator coordinate method (GCM) [2,6,[34][35][36][37][38]. In these kinds of studies, calculations may become computationally much more demanding and time consuming than the underlying mean field, particularly when triaxial degrees of freedom are included in the analysis.…”

Section: Introductionmentioning

confidence: 99%

Collective structural evolution in neutron-rich Yb, Hf, W, Os, and Pt isotopes

et al. 2011

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An interacting-boson-model Hamiltonian determined from Hartree-Fock-Bogoliubov calculations with the microscopic Gogny energy density functional D1M is applied to the spectroscopic analysis of neutron-rich Yb, Hf, W, Os, and Pt isotopes with mass A ∼ 180-200. Excitation energies and transition rates for the relevant low-lying quadrupole collective states are calculated by this method. Transitions from prolate to oblate ground-state shapes are analyzed as a function of neutron number N in a given isotopic chain by calculating excitation energies, B(E2) ratios, and correlation energies in the ground state. It is shown that such transitions tend to occur more rapidly for the isotopes with lower proton number Z when departing from the proton shell closure Z = 82. The triaxial degrees of freedom turn out to play an important role in describing the considered mass region. Predicted low-lying spectra for the neutron-rich exotic Hf and Yb isotopes are presented. The approximations used in the model and the possibilities to refine its predictive power are addressed.

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“…One of them is the restoration of rotational symmetry broken by the time-odd fields at mean-field level. A significant progress has been made in the implementation of angular momentum projection based on the RMF approaches [62][63][64][65][66] in the past decade. Due to the numerical complexity, these implementations are currently restricted to even-even nuclei.…”

Section: Nuclear Magnetic Moments From Covariant Density Functional Tmentioning

confidence: 99%

Recent progress in theoretical studies of nuclear magnetic moments

Zhao

2012

Chin. Sci. Bull.

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Nuclear magnetic moment is highly sensitive to the underlying structure of atomic nuclei and therefore serves as a stringent test of nuclear models. The advanced nuclear structure models have been successful in analyzing many nuclear structure properties, but they still cannot provide a satisfactory description of nuclear magnetic moments. Recently attempts to summarize the present understanding on nuclear magnetic moments in both relativistic and non-relativistic theoretical models have been made. The detailed contents are covered in the issue entitled "Nuclear magnetic moments and related topics" (in Sci China Phys Mech Astron, Vol. 54, No. 2, 2011). In this paper some of the related achievements will be highlighted. nuclear magnetic moments, status and progress, relativistic and non-relativistic many-body models Citation: Zhao E G. Recent progress in theoretical studies of nuclear magnetic moments. Chin Sci Bull, 2012Bull, , 57: 4394-4399, doi: 10.1007 Nuclear magnetic moment is an important physical observable that reflects the interplay between collective and singleparticle degrees of freedom in atomic nuclei. It therefore provides a stringent test of various nuclear structure models. A concise but interesting history and present understanding of nuclear magnetic moments have been provided in [1].Since the successes of the nuclear shell model established in 1949 by Mayer and Jensen for the explanation of the magic numbers (Z or N = 2, 8, 20, 28, 50, 82, . . . ), the understanding of the magnetic moment of an odd-A nucleus has been done in the extreme single-particle picture which leads to the well known Schmidt values [2]. It was observed in the early 1950s [3], however, that almost all nuclear magnetic moments are sandwiched between the two Schmidt lines.The pion, predicted by Yukawa in 1935, and discovered experimentally by Powell in 1947, was pointed out to be very important for understanding nuclear magnetic moments by Miyazawa in 1951 [4] and by Villars in 1952 [5] via the one-pion exchange currents, which can be understood as a medium correction in comparison with the free nuclear magnetic moments. Besides the pion effect, the first-order configuration mixing was pointed out to be also important in the email: egzhao@mail.itp.ac.cn odd-A nuclei with a j j-closed core by Arima and Horie in 1954 [6,7]. This effect is also called the first-order core polarization or Arima-Horie effect. However, for the nuclei with a LS -closed core ± 1 nucleon, the first-order configuration mixing does not contribute to nuclear magnetic moments. In order to understand the difference between Schmidt values and experiment data in this type of nuclei, it was realized that one has to take into account the second-order configuration mixing, which is also called the tensor correlation. The isoscalar magnetic moments provide us the best evidence of the tensor correlations. There were also lots of discussion on whether the Δ-hole mixing can explain the magnetic moments [8][9][10].In the past decades, covariant density functio...

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Configuration mixing of angular-momentum-projected triaxial relativistic mean-field wave functions. II. Microscopic analysis of low-lying states in magnesium isotopes

Cited by 111 publications

References 51 publications

Relativistic description of nuclear matrix elements in neutrinoless double-βdecay

Relativistic description of nuclear matrix elements in neutrinoless double-βdecay

Collective structural evolution in neutron-rich Yb, Hf, W, Os, and Pt isotopes

Recent progress in theoretical studies of nuclear magnetic moments

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