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The isoscalar and isovector collective multipole excitations in stable nuclei are studied in the framework of relativistic random-phase approximation with the vacuum polarization arising from the nucleon-antinucleon field. A fully…

Nuclear Theory · Physics 2007-05-23 A. Haga , H. Toki , S. Tamenaga , Y. Horikawa

The matrix equations of the relativistic random-phase approximation (RRPA) are derived for an effective Lagrangian characterized by density-dependent meson-nucleon vertex functions. The explicit density dependence of the meson-nucleon…

Nuclear Theory · Physics 2009-11-07 T. Niksic , D. Vretenar , P. Ring

The isovector dipole response in $^{208}$Pb is described in the framework of a fully self-consistent relativistic random phase approximation. The NL3 parameter set for the effective mean-field Lagrangian with nonlinear meson…

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

A relativistic mean field description of collective excitations of atomic nuclei is studied in the framework of a fully self-consistent relativistic random phase approximation (RRPA). In particular, results of RRPA calculations of multipole…

Nuclear Theory · Physics 2009-11-07 Zhong-yu Ma , A. Wandelt , Nguyen Van Giai , D. Vretenar , P. Ring , Li-gang Cao

The matrix equations of the random-phase approximation (RPA) are derived for the point-coupling Lagrangian of the relativistic mean-field (RMF) model. Fully consistent RMF plus (quasiparticle) RPA illustrative calculations of the isoscalar…

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

The relativistic random phase approximation is applied in the analysis of the evolution of the isovector dipole response in nuclei with a large neutron excess. The self-consistent framework of relativistic mean-field theory, which has been…

Nuclear Theory · Physics 2009-11-07 D. Vretenar , N. Paar , P. Ring , G. A. Lalazissis

The formalism of the continuum random-phase approximation theory which treats, without ap- proximations, the continuum part of the single-particle spectrum, is extended to describe charge- exchange excitations. Our approach is…

Nuclear Theory · Physics 2016-04-05 V. De Donno , G. Co' , M. Anguiano , A. M. Lallena

The isoscalar giant dipole resonance structure in $^{208}$Pb is calculated in the framework of a fully consistent relativistic random phase approximation, based on effective mean-field Lagrangians with nonlinear meson self-interaction…

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

We develop precise formulation for the effects of vacuum polarization near a pointlike source with a zero-range ($\delta$-like) potential in three spatial dimensions. There are different ways of introducing $\delta$-interaction in the…

High Energy Physics - Theory · Physics 2024-05-31 Yuri V. Grats , Pavel Spirin

Considering the finite volume of nucleons, a Lagrangian density is given. The first order self-energy of the nucleon and the equation of state of nuclear matter are calculated in the framework of relativistic mean-field approximation. Our…

Nuclear Theory · Physics 2016-08-16 Bao-Xi Sun , Xiao-Fu Lü , En-Guang Zhao

It is proved that the class of stable interatomic potentials admits an exact representation in the form of a finite or infinite superposition of Yukawa potentials. An auxiliary scalar field is introduced to describe the dynamics of a system…

Statistical Mechanics · Physics 2022-02-01 A. Yu. Zakharov , V. V. Zubkov

The Lagrangian density of standard relativistic mean-field (RMF) models with density-dependent meson-nucleon coupling vertices is modified by introducing couplings of the meson fields to derivative nucleon densities. As a consequence, the…

Nuclear Theory · Physics 2007-05-23 S. Typel

A fully consistent relativistic random phase approximation is applied to study the systematic behavior of the isovector giant dipole resonance of nuclei along the $\beta$-stability line in order to test the effective Lagrangians recently…

Nuclear Theory · Physics 2009-11-10 Li-Gang Cao , Zhong-Yu Ma

Microscopic theory of the nuclear response based on the relativistic meson-nucleon Lagrangian is applied to the description of the isoscalar giant monopole resonance (ISGMR) in a variety of nuclear systems. It is shown that the…

Nuclear Theory · Physics 2023-04-19 Elena Litvinova

We derive a mean-field model that is based on a two-component Pauli-like equation and incorporates quantum, spin, and relativistic effects up to second order in $1/c$. Using a Lagrangian approach, we obtain the self-consistent charge and…

Quantum Physics · Physics 2014-03-18 Anant Dixit , Yannick Hinschberger , Jens Zamanian , Giovanni Manfredi

Replicated theoretical attempts of relativistic approaches to the pion self-energy in nuclear matter yield unphysical pion spectra. We demonstrate the crucial dependence of the calculated pion spectra on the correct relativistic accounting…

Nuclear Theory · Physics 2007-05-23 L. B. Leinson , A. Perez

We derive the equation of state of nuclear matter including vacuum polarization effects arising from the nucleons and the sigma mesons in the quark-meson coupling model which incorporates explicitly quark degrees of freedom with quark…

Nuclear Theory · Physics 2009-11-07 P. K. Panda , F. L. Braghin

It is a well known fact that Dirac phenomenology of nuclear forces predicts the existence of large scalar and vector mean fields in matter. To analyse the relativistic self-energy in a model independent way, modern high precision…

Nuclear Theory · Physics 2008-11-26 O. Plohl , C. Fuchs

We study relativistic nuclear matter in the $\sigma - \omega$ model including the ring-sum correlation energy. The model parameters are adjusted self-consistently to give the canonical saturation density and binding energy per nucleon with…

Nuclear Theory · Physics 2008-11-26 J. A. McNeil , C. E. Price , J. R. Shepard

Roles of antinucleon degrees of freedom in the relativistic random phase approximation(RPA) are investigated. The energy-weighted sum of the RPA transition strengths is expressed in terms of the double commutator between the excitation…

Nuclear Theory · Physics 2015-12-14 Haruki Kurasawa , Toshio Suzuki
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