September 15, 2014 to October 10, 2014
Nordita, Stockholm
Europe/Stockholm timezone

Morning Session: Density Functional Theories: Formalism and Applications

Sep 23, 2014, 9:30 AM
2h
132:028 (Nordita, Stockholm)

132:028

Nordita, Stockholm

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

Presentation materials