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In this paper, we present a rigorous derivation of the mean-field limit for a moderately interacting particle system in $\R^d$ $(d\geq 2)$. For stochastic initial data, we demonstrate that the solution to the interacting particle model,…

Analysis of PDEs · Mathematics 2024-07-08 Jinhuan Wang , Mengdi Zhuang , Hui Huang

Nuclear level density is calculated with the combinatorial method based on the relativistic density functional theory including pairing correlations. The Strutinsky method is adopted to smooth the total state density in order to refine the…

Nuclear Theory · Physics 2024-01-18 Xiao-Fei Jiang , Xin-Hui Wu , Peng-Wei Zhao , Jie Meng

A survey of pairing properties of nucleonic matter is presented that includes the off-shell propagation associated with short-range and tensor correlations. For this purpose, the gap equation has been solved in its most general form…

Nuclear Theory · Physics 2016-08-16 H. Müther , W. H. Dickhoff

A microscopic theory for nuclear pairing is proposed through the generalized density matrix formalism. The analytical equations are as simple as that of the BCS theory, and could be solved within a similar computer time. The current theory…

Nuclear Theory · Physics 2015-06-15 L. Y. Jia

New parameter sets for the Lagrangian density in the relativistic mean field (RMF) theory, PK1 with nonlinear sigma- and omega-meson self-coupling, PK1R with nonlinear sigma-, omega- and rho-meson self-coupling and PKDD with the…

Nuclear Theory · Physics 2009-11-10 Wenhui Long , Jie Meng , Nguyen Van Giai , Shan-Gui Zhou

It is shown that the equation of state of nuclear matter can be determined within the mean-field theory of $\sigma \omega$ model provided only that the nucleon effective mass curve is given. We use a family of the possible nucleon effective…

Nuclear Theory · Physics 2008-11-26 Jae Hwang Lee , Young Jae Lee , Suk-Joon Lee

We have optimized the parameters of extended relativistic mean-field model using a selected set of global observables which includes binding energies and charge radii for nuclei along several isotopic and isotonic chains and the iso-scalar…

Nuclear Theory · Physics 2015-06-04 B. K. Agrawal , A. Sulaksono , P. -G. Reinhard

Within a simple SO(8) algebraic model, the coexistence between isoscalar and isovector pairing modes can be successfully described using a mean-field method plus restoration of broken symmetries. In order to port this methodology to real…

Nuclear Theory · Physics 2021-11-02 A. M. Romero , J. Dobaczewski , A. Pastore

We present a simple scheme for taking into account the resonant continuum coupling in the Relativistic Mean Field- BCS (RMF-BCS) calculations. In this scheme, applied before in non-relativistic calculations, the effect of the resonant…

Nuclear Theory · Physics 2007-05-23 N. Sandulescu , L. S. Geng , H. Toki , G. Hillhouse

The relativistic mean field approach, within a theoretical framework known as the chiral confining model incorporating chiral symmetry breaking and quark confinement effects, is applied for the first time to finite nuclei. Model parameters…

Nuclear Theory · Physics 2026-05-27 M. Chamseddine , J. -P. Ebran , E. Khan , B. K. Pradhan , J. Margueron , H. Hansen , G. Chanfray

We analyze the localization properties of two-body correlations induced by pairing in the framework of relativistic mean field (RMF) models. The spatial properties of two-body correlations are studied for the pairing tensor in coordinate…

Nuclear Theory · Physics 2018-07-11 R. -D. Lasseri , J. -P. Ebran , E. Khan , N. Sandulescu

The $^1S_0$-pairing gap in semi-infinite nuclear matter is evaluated microscopically using the effective pairing interaction recently found explicitly in the coordinate representation starting from the separable form of the Paris…

Nuclear Theory · Physics 2009-10-31 M. Baldo , U. Lombardo , E. Saperstein , M. Zverev

The momentum and density dependence of mean fields in symmetric and asymmetric nuclear matter are analysed using the simple density dependent finite range effective interaction containing a single Gaussian term alongwith the zero-range…

Nuclear Theory · Physics 2015-06-11 T. R. Routray , X. Vinas , S. K. Tripathy , M. Bhuyan , S. K. Patra , B. Behera

We present some results and remarks based on a combinatorial approach of the evaluation of the nuclear level density. First, we show that it is possible to extract some reliable information from the output of the program whose rough data…

Nuclear Theory · Physics 2007-05-23 Bernard PICHON CNRS

The formalism of particle number on a spatial domain for mean field wave functions with pairing is revisited to account for the case where finite dimensional basis are used. The formulas differ from the ones previously used in the…

Nuclear Theory · Physics 2025-04-02 L. M. Robledo

We calculate the equation of state (EoS) of dense matter, using a relativistic mean field (RMF) model with a density dependent coupling that is a slightly modified form of the original NL3 interaction. For nonuniform nuclear matter we…

Nuclear Theory · Physics 2015-03-13 G. Shen , C. J. Horowitz , S. Teige

A relativistic approach to describe nuclear and in general strongly interacting matter is introduced and discussed. Here, not only the nuclear forces but also the masses of the nucleons are generated through meson fields. Within this…

Nuclear Theory · Physics 2015-09-02 S. Schramm

The possibility of extending the linear sigma-omega model by introducing a sigma-omega coupling phenomenologically is explored. It is shown that, in contrast to the usual Walecka model, not only the effective nucleon mass M* but also the…

Nuclear Theory · Physics 2009-11-06 K. C. Chung , C. S. Wang , A. J. Santiago , J. W. Zhang

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

We unite the dual quarkyonic model with the quark-meson coupling (QMC) model to construct a novel nuclear model based on the quark degrees of freedom, which can cover a wide range of nuclear density from low density to the crossover region.…

Nuclear Theory · Physics 2025-12-05 Koichi Saito , Tsuyoshi Miyatsu , Myung-Ki Cheoun