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We derive analytical expressions for the excitation energy of the isoscalar giant monopole and quadrupole resonances in finite nuclei, by using the scaling method and the extended Thomas-Fermi approach to relativistic mean field theory. We…

Nuclear Theory · Physics 2010-12-23 S. K. Patra , X. Vinas , M. Centelles , M. Del Estal

Accurately calibrated (or ``best fit'') relativistic mean-field models are used to compute the distribution of isoscalar monopole strength in 90Zr and 208Pb, and the isovector dipole strength in 208Pb using a continuum…

Nuclear Theory · Physics 2009-11-10 J. Piekarewicz

We compute moments of the isoscalar monopole response of N = Z closed-shell nuclei based on chiral nucleon-nucleon plus three-nucleon interactions. We employ the random phase approximation (RPA) and two ab initio many-body approaches, the…

Nuclear Theory · Physics 2026-03-03 Francesca Bonaiti , Andrea Porro , Sonia Bacca , Achim Schwenk , Alexander Tichai

The compressibility of nuclear matter has received significant attention in the last decade and a variety of approaches have been employed to extract this fundamental property of matter. Recently, significant differences have emerged…

Nuclear Theory · Physics 2007-05-23 M. M. Sharma

A systematic study of the isoscalar giant monopole resonance (ISGMR) in a wide range of nuclei from various isotopic chains is performed within the microscopic self-consistent Skyrme HF+BCS method and coherent density fluctuation model…

Nuclear Theory · Physics 2025-06-11 M. K. Gaidarov , M. V. Ivanov , Y. I. Katsarov , A. N. Antonov , I. C. Danchev

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

Within the frame-work of relativistic Thomas-Fermi and relativistic extended Thomas-Fermi approximations, we calculate the giant monopole resonance (GMR) excitation energies for Sn and related nuclei. A large number of non-linear…

Nuclear Theory · Physics 2015-09-02 S. K. Biswal , S. K. Singh , M. Bhuyan , S. K. Patra

In the present thesis, we have carried a thorough investigation of nuclear structure properties. We start our investigation from the study of the magic property of nucleus in the super -heavy region. We know the magic combination of proton…

Nuclear Theory · Physics 2017-04-12 Subrata Kumar Biswal

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

We systematically analyze the recent claim that nonrelativistic and relativistic mean field (RMF) based random phase approximation (RPA) calculations for the centroid energy E_0 of the isoscalar giant monopole resonance yield for the…

Nuclear Theory · Physics 2009-11-10 B. K. Agrawal , S. Shlomo , V. Kim Au

The paper is the third of a series dedicated to the ab initio description of monopole giant resonances in mid-mass closed- and open-shell nuclei via the so-called projected generator coordinate method. The present focus is on the…

Nuclear Theory · Physics 2024-04-23 Andrea Porro , Thomas Duguet , Jean-Paul Ebran , Mikael Frosini , Robert Roth , Vittorio Somà

Nuclei are propitious tools to investigate the role of the superfluidity in the compressibility of a Fermionic system. The centroid of the Giant Monopole Resonance (GMR) in Tin isotopes is predicted using a constrained Hartree-Fock…

Nuclear Theory · Physics 2009-08-20 Elias Khan

We study the isoscalar giant monopole resonance for drip-lines and super heavy nuclei in the frame work of a relativistic mean field theory with scaling approach. The well known extended Thomas-Fermi approximation in the non-linear…

Nuclear Theory · Physics 2018-02-14 S. K. Biswal , S. K Patra

Compressional properties of nuclear matter are studied by using the mean field theory with the excluded volume effects of the nucleons. It is found that the excluded volume effects make it possible to fit the empirical data of the Coulomb…

Nuclear Theory · Physics 2009-10-28 H. Kouno , K. Koide , T. Mitsumori , N. Noda , A. Hasegawa , M. Nakano

Density functional theory is a preferred microscopic method for calculation of nuclear properties over the whole nuclear chart. Besides ground-state properties, which are calculated by Hartree-Fock theory, nuclear excitations can be…

Nuclear Theory · Physics 2020-06-02 Anton Repko

Background: Average energies of nuclear collective modes may be efficiently and accurately computed using a non-relativistic constrained approach without reliance on a random phase approximation (RPA). Purpose: To extend the constrained…

Nuclear Theory · Physics 2015-06-15 Wei-Chia Chen , J. Piekarewicz , M. Centelles

The momentum and density dependence of mean fields in symmetric and asymmetric nuclear matter are analysed using the simple density dependent finite range effective interaction containing a single Gaussian term alongwith the zero-range…

Nuclear Theory · Physics 2015-06-11 T. R. Routray , X. Vinas , S. K. Tripathy , M. Bhuyan , S. K. Patra , B. Behera

The isoscaler giant monopole resonances (ISGMR) are computed using the canonical-basis time-dependent Hartree-Fock-Bogoliubov theory (Cb-TDHFB) with five kinds of Skyrme parameter sets (SGII, SkM$^*$, SLy4, SkT3 and SkI3). To extract the…

Nuclear Theory · Physics 2015-08-27 Shuichiro Ebata

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

The ``breathing mode'' of neutron-rich nuclei is our window into the incompressibility of neutron-rich matter. After much confusion on the interpretation of the experimental data, consistency was finally reached between different models…

Nuclear Theory · Physics 2014-11-20 J. Piekarewicz