Relativistic mean-field kinetic equation: Collectives modes and symmetry breaking in nuclear matter

Dellafiore, A.; Matera, F.

doi:10.1103/physrevc.44.2456

Cited by 14 publications

(26 citation statements)

References 17 publications

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“…The quantity A(K F , M * ) is the same integral discussed in Eqs. (9,10,11). At this point we can make the following approximation…”

Section: Isovector Responsementioning

confidence: 99%

“…(13) and (14) by γ λ . After performing the traces, and we equate to zero both the real and imaginary parts of the result [10,11]. Furthermore, by Fourier transforming and integrating over four-momentum, we get the set of equations for the scalar and vector fluctuation of each species ( i = 1, 2 for proton, neutron respectively):…”

Section: Linear Response Equationsmentioning

confidence: 99%

“…Very nice results have been obtained for the nuclear structure of finite nuclei [4][5][6], for the N M Equation of State and liquid-gas phase transitions [7] and for the dynamics of nuclear collisions [8,9]. Relativistic RandomPhase-Approximation (RRP A) theories have been developed to study the nuclear collective response [10][11][12][13][14][15].…”

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confidence: 99%

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Collective modes of asymmetric nuclear matter in quantum hadrodynamics

et al. 2003

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We discuss a fully relativistic Landau Fermi liquid theory based on the Quantum HadroDynamics (QHD) effective field picture of Nuclear Matter (NM). From the linearized kinetic equations we get the dispersion relations of the propagating collective modes. We focus our attention on the dynamical effects of the interplay between scalar and vector channel contributions. A beautiful "mirror" structure in the form of the dynamical response in the isoscalar/isovector degree of freedom is revealed, with a complete parallelism in the role respectively played by the compressibility and the symmetry energy. All that strongly supports the introduction of an explicit coupling to the scalar-isovector channel of the nucleon-nucleon interaction.In particular we study the influence of this coupling (to a δ-meson-like effective field) on the collective response of asymmetric nuclear matter (AN M ). Interesting contributions are found on the propagation of isovector-like modes at normal density and on an expected smooth transition to isoscalar-like oscillations at high baryon density.Important "chemical" effects on the neutron-proton structure of the mode are shown. For dilute AN M we have the isospin distillation mechanism of the unstable isoscalar-like oscillations, while at high baryon density we predict an almost pure neutron wave structure of the propagating sounds.

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“…The quantity A(K F , M * ) is the same integral discussed in Eqs. (9,10,11). At this point we can make the following approximation…”

Section: Isovector Responsementioning

confidence: 99%

Section: Linear Response Equationsmentioning

confidence: 99%

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Collective modes of asymmetric nuclear matter in quantum hadrodynamics

et al. 2003

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“…(3) by means of Eq.(4). As far as the term containing the vector field is concerned, by a simple substitution one can obtain a statistical average of only fermionic field operators [8]. Instead, because of the non-linear coupling of the σ field to the fermionic scalar density, the elimination of the scalar field in the last term of Eq.…”

Section: B the Truncation Scheme For Exchange Contributionsmentioning

confidence: 99%

“…quoted in [2][3][4] ). Including the Fock terms also the whole variety of processes in nuclear dynamics arising from the fermionic intrinsic degrees of freedom ( spin and isospin ), can be accounted for [8][9][10]. In principle, if the model is constructed self-consistently, the introduction of further meson fields with the corresponding constants for the coupling to nucleons appears to be less necessary.…”

Section: Introductionmentioning

confidence: 99%

Fock exchange terms in nonlinear quantum hadrodynamics

et al. 2001

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We propose a method to introduce Fock term contributions in relativistic models of fermions coupled to mesons, including self-interactions for the mesonic fields. We show that effects on equilibrium properties and on the dynamical response of the fermionic system can be consistently accounted for. Some implications on equilibrium properties of asymmetric nuclear matter are discussed. In particular an indication is emerging for a reduced contribution of charged mesons to the symmetry term of the nuclear equation of state around normal density.

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A Covariant Generalization of the Real-Time Green's Functions Method in the Theory of Kinetic Equations

et al. 1999

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A generalized quantum kinetic equation (RKE) of the Kadanoff-Baym type is obtained on the basis of the Heisenberg equations of motion where the time evolution and space translation are separated from each other by means of the covariant method. The same approach is used also for a covariant modification of the real-time Green's functions method based on the Wigner representation. The suggested approach does not contain arbitrariness' elements and uncertainties which often arise from derivation of RKE on the basis of the motion equations of the Kadanoff-Baym type for the correlation functions in the case of systems with inner degrees of freedom.Possibilities of the proposed method are demonstrated by examples of derivation of RKE of the Vlasov type and collision integrals of the Boltzmann-Uehling-Uhlenbeck (BUU) type in the frame of the σω-version of quantum hadrodynamics, for the simplest case of spin saturated nuclear matter without antinuclear component. Here, the quasiparticle approximation in a covariant performance is used. A generalization of the method for the description of strong non-equilibrium states based on the non-equilibrium statistical operator is then proposed as well.

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Relativistic mean-field kinetic equation: Collectives modes and symmetry breaking in nuclear matter

Cited by 14 publications

References 17 publications

Collective modes of asymmetric nuclear matter in quantum hadrodynamics

Collective modes of asymmetric nuclear matter in quantum hadrodynamics

Fock exchange terms in nonlinear quantum hadrodynamics

A Covariant Generalization of the Real-Time Green's Functions Method in the Theory of Kinetic Equations

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