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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…

Nuclear Theory · Physics 2016-09-08 S. Yildirim , T. Gaitanos , M. Di Toro , V. Greco

The breathing-mode isoscalar giant monopole resonance (GMR) is investigated using the generator coordinate method within the relativistic mean-field (RMF) theory. Employing the Lagrangian models of the nonlinear-$\sigma$ model (NL$\sigma$),…

Nuclear Theory · Physics 2009-01-23 M. M. Sharma

The relativistic mean-field plus RPA calculations, based on effective Lagrangians with density-dependent meson-nucleon vertex functions, are employed in a microscopic analysis of the nuclear matter compressibility and symmetry energy. We…

Nuclear Theory · Physics 2008-11-26 D. Vretenar , T. Niksic , P. Ring

A new theoretical approach to spin-isospin excitations in open-shell nuclei is presented. The developed method is based on the relativistic meson-exchange nuclear Lagrangian of Quantum Hadrodynamics and extends the response theory for…

Nuclear Theory · Physics 2016-08-01 Caroline Robin , Elena Litvinova

Isoscalar and isovector monopole oscillations that correspond to giant resonances in spherical nuclei are described in the framework of time-dependent relativistic mean-field (RMF) theory. Excitation energies and the structure of eigenmodes…

Nuclear Theory · Physics 2009-10-30 D. Vretenar , G. A. Lalazissis , R. Behnsch , W. Pöschl , P. Ring

The breathing-mode giant monopole resonance is studied within the framework of the relativistic mean-field (RMF) theory. Using a broad range of parameter sets, a systematic analysis of constrained incompressibility and excitation energy of…

Nuclear Theory · Physics 2009-10-28 M. V. Stoitsov , M. L. Cescato , P. Ring , M. M. Sharma

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 incompressibility of both nuclear matter and finite nuclei is estimated by the monopole compression modes in nuclei in the framework of a nonrelativistic Hartree-Fock-Bogoliyubov method and the coherent density fluctuation model. The…

Nuclear Theory · Physics 2023-01-19 M. K. Gaidarov , M. V. Ivanov , Y. I. Katsarov , A. N. Antonov

Giant resonances are collective nuclear vibrations which provide a unique laboratory setting to probe the bulk properties of the nuclear force. One of the isoscalar compressional modes -- the isoscalar giant monopole resonance (ISGMR) -- is…

Nuclear Experiment · Physics 2020-09-01 K. B. Howard

The breathing-mode giant monopole resonance is studied within the framework of the relativistic mean-field (RMF) theory. Using a broad range of parameter sets, an analysis of constrained incompressibility and excitation energy of isoscalar…

Nuclear Theory · Physics 2007-05-23 M. V. Stoitsov , M. L. Cescato , P. Ring , M. M. Sharma

Isoscalar giant resonances, being the archetypal forms of collective nuclear behavior, have been studied extensively for decades with the goal of constraining bulk nuclear properties of the equation of state, as well as for modeling…

Nuclear Experiment · Physics 2019-12-23 K. B. Howard , U. Garg , Y. K. Gupta , M. N. Harakeh

We have constructed a Lagrangian model (SIG-OM) with coupling of sigma and omega mesons in the relativistic mean-field theory. Properties of finite nuclei and nuclear matter have been explored with the new Lagrangian model. The study shows…

Nuclear Theory · Physics 2008-11-26 Maryam M. Haidari , Madan M. Sharma

The measurements of the isoscalar giant monopole resonance (GMR), also called the breathing mode, are analyzed with respect to their constraints on the quantity $M_c$, e.g. the density dependence of the nuclear incompressibility around the…

Nuclear Theory · Physics 2013-04-18 E. Khan , J. Margueron

Some recent advancements of the nuclear many-body theory and selected results on nuclear giant and pygmy resonances are presented. The theory is compactly reviewed, with a special focus on the emergent scale of the quasiparticle-vibration…

Nuclear Theory · Physics 2025-12-30 Elena Litvinova

Isoscalar giant resonances are nuclear collective excitations associated with the oscillation in phase of protons and neutrons according to a certain multipolarity $L$. In particular, the isoscalar giant monopole resonance ($L=0$) is the…

Nuclear Theory · Physics 2024-06-25 J. C. Zamora , S. Giraud

The recent RCNP $(\alpha, \alpha')$ data on the Isoscalar Giant Monopole Resonance (ISGMR) and Isoscalar Giant Quadrupole Resonance (ISGQR) in $^{92,94,96,98,100}$Mo are analyzed within a fully self-consistent Quasiparticle Random Phase…

The status of the theoretical research on the compressional modes of finite nuclei and the incompressibility $K_\infty$ of nuclear matter, is reviewed. It is argued that the recent experimental data on the Isoscalar Giant Monopole Resonance…

Nuclear Theory · Physics 2015-06-26 G. Colo` , N. Van Giai

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

The isoscalar giant monopole resonances (ISGMR) and giant dipole resonances (ISGDR) in medium-heavy nuclei are investigated in the framework of HF+RPA and HF-BCS+QRPA with Skyrme effective interactions. It is found that pairing has little…

Nuclear Theory · Physics 2007-05-23 G. Colo` , N. Van Giai , P. F. Bortignon , M. R. Quaglia

Based on microscopic Hartree-Fock + random phase approximation calculations with Skyrme interactions, we study the correlations between the nuclear breathing mode energy $E_{ISGMR}$ and properties of asymmetric nuclear matter with a…

Nuclear Theory · Physics 2012-03-27 Lie-Wen Chen , Jian-Zhong Gu
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