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A separable form of pairing interaction in the $^{1}S_{0}$ channel has been introduced and successfully applied in the description of both static and dynamic properties of superfluid nuclei. By adjusting the parameters to reproduce the…

Nuclear Theory · Physics 2009-09-02 Yuan Tian , Zhongyu Ma , Peter Ring

We investigate the pairing property of nuclear matter with Relativistic Hartree-Bogoliubov(RHB) approach. Recently, the RHB approach has been widely applied to nuclear matter and finite nuclei. We have extended the RHB approach to be able…

Nuclear Theory · Physics 2009-11-07 S. Sugimoto , K. Sumiyoshi , H. Toki

The Relativistic Hartree Bogoliubov (RHB) theory is applied in the description of ground-state properties of Ni and Sn isotopes. The NL3 parameter set is used for the effective mean-field Lagrangian, and pairing correlations are described…

Nuclear Theory · Physics 2008-11-26 G. A. Lalazissis , D. Vretenar , P. Ring

The Relativistic Hartree Bogoliubov (RHB) model is applied in the self-consistent mean-field approximation to the description of the neutron halo in the mass region above the s-d shell. Pairing correlations and the coupling to particle…

Nuclear Theory · Physics 2009-02-11 W. Poeschl , D. Vretenar , G. A. Lalazissis , P. Ring

The Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei (RHFBz) is introduced. The model is based on an effective Lagrangian with density-dependent meson-nucleon couplings in the particle-hole channel, and the pairing…

Nuclear Theory · Physics 2011-08-02 J. -P. Ebran , E. Khan , D. Pena Arteaga , D. Vretenar

The Relativistic Hartree-Bogoliubov model is applied in the analysis of ground-state properties of Be, B, C, N, F, Ne and Na isotopes. The model uses the NL3 effective interaction in the mean-field Lagrangian, and describes pairing…

Nuclear Theory · Physics 2007-05-23 G. A. Lalazissis , D. Vretenar , P. Ring

The relativistic Hartree-Bogoliubov (RHB) model is extended to include density dependent meson-nucleon couplings. The effective Lagrangian is characterized by a phenomenological density dependence for the $\sigma$, $\omega$ and $\rho$…

Nuclear Theory · Physics 2011-05-05 T. Niksic , D. Vretenar , P. Finelli , P. Ring

The nuclear deformations are of fundamental importance in nuclear physics. Recently we developed a multi-dimensionally constrained relativistic Hartree-Bogoliubov (MDCRHB) model, in which all multipole deformations respecting the $V_4$…

Nuclear Theory · Physics 2022-01-19 Kun Wang , Bing-Nan Lu

The problem of pairing in the $^{1}$S$_{0}$ channel of finite nuclei is revisited. In nuclear matter forces of separable form can be adjusted to the bare nuclear force, to any phenomenological pairing interaction such as the Gogny force or…

Nuclear Theory · Physics 2010-11-23 Y. Tian , Z. Y. Ma , P. Ring

Ground-state properties of A = 20 nuclei ($^{20}$N, $^{20}$O, $^{20}$F, $^{20}$Ne, $^{20}$Na, $^{20}$Mg) are described in the framework of Relativistic Hartree-Bogoliubov (RHB) theory. The model uses the NL3 effective interaction in the…

Nuclear Theory · Physics 2009-11-06 G. A. Lalazissis , D. Vretenar , P. Ring

We have introduced a separable pairing force, which was adjusted to reproduce the pairing properties of the Gogny force in nuclear matter. This separable pairing force is able to describe in relativistic Hartree-Bogoliubov (RHB)…

Nuclear Theory · Physics 2010-02-19 Yuan Tian , Zhongyu Ma , Peter Ring

Relativistic Hartree-Fock-Bogoliubov (RHFB) theory with density-dependent meson-nucleon couplings is presented. The integro-differential RHFB equations are solved by expanding the different components of the quasi-particle spinors in the…

Nuclear Theory · Physics 2010-04-06 Wen Hui Long , Peter Ring , Nguyen Van Giai , Jie Meng

Cranked Relativistic Hartree-Bogoliubov theory without and with approximate particle number projection by means of the Lipkin-Nogami method is presented in detail as an extension of Relativistic Mean Field theory with pairing correlations…

Nuclear Theory · Physics 2009-11-06 A. V. Afanasjev , P. Ring , J. Konig

We formulate the finite-temperature relativistic Hartree-Bogoliubov theory for spherical nuclei based on a point-coupling functional, with the Gogny or separable pairing force. Using the functional PC-PK1, the framework is applied to the…

Nuclear Theory · Physics 2014-01-21 Y. F. Niu , Z. M. Niu , N. Paar , D. Vretenar , G. H. Wang , J. S. Bai , J. Meng

A recently introduced scheme for the renormalization of the Hartree-Fock-Bogoliubov equations in the case of zero-range pairing interaction is extended to the relativistic Hartree-Bogoliubov model. A density-dependent strength parameter of…

Nuclear Theory · Physics 2009-11-11 T. Niksic , P. Ring , D. Vretenar

The impact of pairing correlations on the fission barriers is investigated in Relativistic Hartree Bogoliubov (RHB) theory and Relativistic Mean Field (RMF)+BCS calculations. It is concluded that the constant gap approximation in the usual…

Nuclear Theory · Physics 2010-05-25 S. Karatzikos , A. V. Afanasjev , G. A. Lalazissis , P. Ring

Ground-state properties of neutron-rich $N \approx 28$ nuclei are described in the framework of Relativistic Hartree Bogoliubov (RHB) theory. The model uses the NL3 effective interaction in the mean-field Lagrangian, and describes pairing…

Nuclear Theory · Physics 2016-09-08 G. A. Lalazissis , D. Vretenar , P. Ring , M. Stoitsov , L. Robledo

A new method of calculating pairing correlations in coordinate space with finite range interactions is presented. In the Hartree-Fock-Bogoliubov (HFB) approach the mean field part is derived from a Skyrme-type force whereas the pairing…

Nuclear Theory · Physics 2009-11-07 M. Grasso , N. Van Giai , N. Sandulescu

A C++ code for the solution of the relativistic Hartree-Bogoliubov theory in coordinate space is presented. The theory describes a nucleus as a relativistic system of baryons and mesons. The RHB model is applied in the self-consistent…

Nuclear Theory · Physics 2009-10-30 Wolfgang Poeschl , Dario Vretenar , Peter Ring

We develop a multidimensionally constrained relativistic Hartree-Bogoliubov (MDC-RHB) model in which the pairing correlations are taken into account by making the Bogoliubov transformation. In this model, the nuclear shape is assumed to be…

Nuclear Theory · Physics 2017-01-25 Jie Zhao , Bing-Nan Lu , En-Guang Zhao , Shan-Gui Zhou
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