Speaker
Shan-Gui Zhou
Description
Multi-Dimensionally Constrained Covariant Density Functional
Theories: Formalism and Applications
Many different shape degrees of freedom play crucial roles
in determining the nuclear ground state and saddle point
properties and the fission path. For the study of nuclear
potential energy surfaces, it is desirable to have
microscopic and self-consistent models in which all known
important shape degrees of freedom are included. By breaking
both the axial and the spatial reflection symmetries
simultaneously, we develop multi-dimensionally constrained
covariant density
functional theories (MDC-CDFTs) [1-3]. The nuclear shape is
assumed to be invariant under the reversion of x and y axes,
i.e., the intrinsic symmetry group is V_4 and all shape
degrees of freedom \beta_{\lambda\mu} with even \mu, such as
\beta_{20}, \beta_{22}, \beta_{30}, \beta_{32}, \beta_{40},
..., are included self-consistently. The single-particle
wave functions are expanded in an axially deformed harmonic
oscillator (ADHO) basis. The functional can be one of the
following four forms: the meson exchange or point-coupling
nucleon interactions combined with the nonlinear or
density-dependent couplings. The pairing effects are taken
into account with either the BCS approach in MDC
relativistic mean field (MDC-RMF) models [1,2] or the
Bogoliubov transformation in MDC relativistic
Hartree-Bogoliubov (MDC-RHB) models [3]. In this talk I will
present the formalism of the MDC-CDFT's and the applications
to the study of fission barriers and third minima in
potential energy surfaces of actinide nuclei [1,2,4], the
Y_{32} correlations in
N=150 isotones and Zr isotopes [5,6], and shape of
hypernuclei [7,8].
[1] B. N. Lu, E. G. Zhao, and S. G. Zhou, Phys. Rev. C85
(2012) 011301(R).
[2] B. N. Lu, J. Zhao, E. G. Zhao, and S. G. Zhou, Phys.
Rev. C89 (2014) 014323.
[3] B. N. Lu, et al., in preparation.
[4] J. Zhao, B. N. Lu, E. G. Zhao, and S. G. Zhou, Phys.
Rev. C86 (2012) 057304.
[5] J. Zhao, B. N. Lu, D. Vretenar, E. G. Zhao, and S. G.
Zhou, arXiv:1404.5466
[nucl-th].
[6] J. Zhao, et al., in preparation.
[7] B. N. Lu, E. G. Zhao, and S. G. Zhou, Phys. Rev. C84
(2011) 014328.
[8] B. N. Lu, E. Hiyama, H. Sagawa, and S. G. Zhou, Phys.
Rev. C84 (2014) 044307.
Density Functional Theories: Formalism and Applications
