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We review some possible improvements of mean field theory for application to nuclear binding systematics. Up to now, microscopic theory has been less successful than models starting from the liquid drop in describing accurately the global…

Nuclear Theory · Physics 2009-11-06 G. F. Bertsch , K. Hagino

The effective independent-particle (mean-field) approximation of the Hubbard Hamiltonian is described in a many-body basis to develop a formal comparison with the exact diagonalization of the full Hubbard model, using small atomic chain as…

Strongly Correlated Electrons · Physics 2023-08-09 Antoine Honet , Luc Henrard , Vincent Meunier

Careful theoretical studies of the nuclear collective inertia based on the non-relativistic mean-field theory and the cranking model indicate that the moments of inertia of the super-deformed nuclei calculated using various standard methods…

Nuclear Theory · Physics 2007-05-23 Nicolas Schunck , Jerzy Dudek

We formulate a kinetic theory of self-interacting meson fields with an aim to describe the freezeout stage of the space-time evolution of matter in ultrarelativistic nuclear collisions. Kinetic equations are obtained from the Heisenberg…

Nuclear Theory · Physics 2008-11-26 T. Matsui , M. Matsuo

The density fluctuations of nuclear matter are studied within a mean-field model in wich fluctuations are generated by an external stochastic field. The constraints imposed on the random force by the fluctuation-dissipation theorem are…

Nuclear Theory · Physics 2009-11-06 F. Matera , A. Dellafiore

A non-convergent difficulty near level-repulsive region is discussed within the self-consistent mean-field theory. It is shown by numerical and analytic studies that the mean-field is not realized in the many-fermion system when quantum…

Nuclear Theory · Physics 2009-11-10 Lu Guo , Fumihiko Sakata , En-Guang Zhao , J. A. Maruhn

Mean motion resonances are commonly seen in planetary systems, e.g., in the formation of orbital structure of Jupiter's moons and the gaps in the rings of Saturn. In this work we study their effects in fully relativistic systems. We…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Huan Yang , Béatrice Bonga , Zhipeng Peng , Gongjie Li

We explore the use of mean field models to approximate microscopic nuclear equations of state derived from chiral effective field theory across the densities and temperatures relevant for simu- lating astrophysical phenomena such as…

Nuclear Theory · Physics 2016-06-22 Ermal Rrapaj , Alessandro Roggero , Jeremy W. Holt

Nuclear physics can be applied in various ways to the study of neutron stars. This thesis reports on one such application, where the relativistic mean-field approximation has been employed to calculate the equations of state of matter in…

Nuclear Theory · Physics 2010-06-28 J. P. W. Diener

Hypernuclei have been studied within the framework of Relativistic Mean Field theory. The force FSU Gold has been extended to include hyperons. The effective hyperon-nucleon and nucleon-nucleon interactions have been obtained by fitting…

Nuclear Theory · Physics 2012-07-30 Bipasha Bhowmick , Abhijit Bhattacharyya , G. Gangopadhyay

Although ab-initio calculations of relativistic Brueckner theory lead to large scalar isovector fields in nuclear matter, at present, successful versions of covariant density functional theory neglect the interactions in this channel. A new…

Nuclear Theory · Physics 2016-06-09 X. Roca-Maza , X. Viñas , M. Centelles , P. Ring , P. Schuck

In the framework of the relativistic mean-field theory, we have considered the equation of state of superdense nuclear matter, taking into account an effective scalar-isovector delta-meson field. The effect of the delta-meson field on the…

Solar and Stellar Astrophysics · Physics 2009-11-13 Grigor Alaverdyan

A time-evolution of quantum meson fields is investigated in a linear sigma model by means of the time-dependent variational approach with a squeezed state. The chiral condensate, which is a mean field of the quantum meson fields, and…

High Energy Physics - Phenomenology · Physics 2009-11-07 Y. Tsue , A. Koike , N. Ikezi

The relativistic mean-field model, augmented with three types of center-of-mass corrections and two types of rotational corrections, is employed to investigate the ground-state properties of helium, beryllium, and carbon isotopes. The…

Nuclear Theory · Physics 2024-01-08 Yu-Ting Rong

Bulk nuclear observables such as charge radii and binding energies are well described by both nonrelativistic and covariant mean-field models. However, predictions of neutron radii, which are not tightly constrained by reliable data, vary…

Nuclear Theory · Physics 2009-07-09 R. J. Furnstahl

A new effective field theory has been developed to describe shallow $P$-wave resonances using nonlocal, momentum-dependent two-body potentials. This approach is expected to facilitate many-body calculations and has been demonstrated to…

Nuclear Theory · Physics 2023-09-04 Qingfeng Li , Songlin Lyu , Chen Ji , Bingwei Long

The framework of relativistic energy density functionals is extended to include correlations related to restoration of broken symmetries and fluctuations of collective variables. A new implementation is developed for the solution of the…

Nuclear Theory · Physics 2009-04-28 T. Niksic , Z. P. Li , D. Vretenar , L. Prochniak , J. Meng , P. Ring

The long timescale evolution of a self-gravitating system is generically driven by two-body encounters. In many cases, the motion of the particles is primarily governed by the mean field potential. When this potential is integrable,…

Astrophysics of Galaxies · Physics 2018-09-26 Jean-Baptiste Fouvry , Ben Bar-Or

We analyzed the results for finite nuclei and infinite nuclear and neutron matter using the standard $\sigma-\omega$ model and with the effective field theory. For the first time, we have shown here quantitatively that the inclusion of…

Nuclear Theory · Physics 2007-05-23 P. Arumugam , B. K. Sharma , P. K. Sahu , S. K. Patra

Non-perturbative aspects of the quantum many-body problem are revisited, discussed and advanced in the equation of motion framework. We compare the approach to the two-fermion response function truncated on the two-body level by the cluster…

Nuclear Theory · Physics 2020-01-01 Elena Litvinova , Peter Schuck