dorsal/arxiv
View SchemaRelativistic Transport Approach to Collective Nuclear Dynamics
| Authors | S. Yildirim, T. Gaitanos, M. Di Toro, V. Greco |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0507014 |
| URL | https://arxiv.org/abs/nucl-th/0507014 |
| DOI | 10.1103/PhysRevC.72.064317 |
| Journal | Phys.Rev. C72 (2005) 064317 |
Abstract
The isoscalar giant monopole resonance (ISGMR) and isovector giant dipole resonance (IVGDR) in finite nuclei are studied in the framework of a relativistic transport approach. The kinetic equations are derived within an effective nucleon-meson field theory in the Relativistic Mean Field (RMF) scheme, even extended to density dependent vertices. Small amplitude oscillations are analysed using the Relativistic Vlasov (RV) approach, i.e. neglecting nucleon collision terms. The time evolution of the isoscalar monopole moment and isovector dipole moment and the corresponding Fourier power spectra are discussed. In the case of ^{208}Pb we study in detail the dependence of the monopole response on the effective mass and symmetry energy at saturation given by the used covariant effective interaction. We show that a reduced m^* and a larger a_4 can compensate the effect on the ISGMR energy centroid of a much larger compressibility modulus K_{nm}. This result is important in order to overcome the conflicting determination of the nuclear compressibility between non-relativistic and relativistic effective interactions. For the symmetry energy dynamical effects, we carefully analyze the influence of the inclusion of an effective isovector scalar channel, \delta-meson field, with constant and density dependent couplings. We show the relevance of the $slope$ (or pressure) of the symmetry energy at saturation on the ISGMR and IVGDR modes for neutron-rich systems. Density dependent vertices are not much affecting our conclusions. Following as a guidance some extended dispersion relations in nuclear matter, we see two main reasons for that, the smoothness of the density dependences around saturation and the presence of compensation effects coming from rearrangement terms.
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"abstract": "The isoscalar giant monopole resonance (ISGMR) and isovector giant dipole\nresonance (IVGDR) in finite nuclei are studied in the framework of a\nrelativistic transport approach. The kinetic equations are derived within an\neffective nucleon-meson field theory in the Relativistic Mean Field (RMF)\nscheme, even extended to density dependent vertices. Small amplitude\noscillations are analysed using the Relativistic Vlasov (RV) approach, i.e.\nneglecting nucleon collision terms. The time evolution of the isoscalar\nmonopole moment and isovector dipole moment and the corresponding Fourier power\nspectra are discussed. In the case of ^{208}Pb we study in detail the\ndependence of the monopole response on the effective mass and symmetry energy\nat saturation given by the used covariant effective interaction. We show that a\nreduced m^* and a larger a_4 can compensate the effect on the ISGMR energy\ncentroid of a much larger compressibility modulus K_{nm}. This result is\nimportant in order to overcome the conflicting determination of the nuclear\ncompressibility between non-relativistic and relativistic effective\ninteractions. For the symmetry energy dynamical effects, we carefully analyze\nthe influence of the inclusion of an effective isovector scalar channel,\n \\delta-meson field, with constant and density dependent couplings. We show\nthe relevance of the $slope$ (or pressure) of the symmetry energy at saturation\non the ISGMR and IVGDR modes for neutron-rich systems. Density dependent\nvertices are not much affecting our conclusions. Following as a guidance some\nextended dispersion relations in nuclear matter, we see two main reasons for\nthat, the smoothness of the density dependences around saturation and the\npresence of compensation effects coming from rearrangement terms.",
"arxiv_id": "nucl-th/0507014",
"authors": [
"S. Yildirim",
"T. Gaitanos",
"M. Di Toro",
"V. Greco"
],
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"doi": "10.1103/PhysRevC.72.064317",
"journal_ref": "Phys.Rev. C72 (2005) 064317",
"title": "Relativistic Transport Approach to Collective Nuclear Dynamics",
"url": "https://arxiv.org/abs/nucl-th/0507014"
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