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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 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

The isospin dependence of incompressibility is investigated in the Skyrme Hartree-Fock (SHF) and relativistic mean field (RMF) models. The correlations between the nuclear matter incompressibility and the isospin dependent term of the…

Nuclear Theory · Physics 2014-11-18 Hiroyuki Sagawa , Satoshi Yoshida , Guo-Mo Zeng , Jian-Zhong Gu , Xi-Zhen Zhang

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

Differences in the density dependence of the symmetry energy predicted by nonrelativistic and relativistic models are suggested, at least in part, as the culprit for the discrepancy in the values of the compression modulus of symmetric…

Nuclear Theory · Physics 2007-05-23 J. Piekarewicz

We have investigated the isoscalar giant monopole resonances (ISGMR) in $^{112-124}$Sn and $^{106-116}$Cd nuclei using inelastic scattering of 386-MeV $\alpha$-particles at extremely forward angles, including 0$^\circ$. The strength…

Nuclear Experiment · Physics 2011-06-28 U. Garg

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 density dependence of nuclear symmetry energy is determined from a systematic study of the isospin dependent bulk properties of asymmetric nuclear matter using the isoscalar and the isovector components of density dependent M3Y…

Nuclear Theory · Physics 2009-08-07 P. Roy Chowdhury , D. N. Basu , C. Samanta

The finite nucleus incompressibility $K^A$ is evaluated using the coherent density fluctuation model with the extended relativistic mean field density. The relativistic energy density functional for nuclear matter is replaced by the local…

Nuclear Theory · Physics 2026-01-13 Jeet Amrit Pattnaik , R. N. Panda , M. Bhuyan , S. K. Patra

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

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

Analytical expressions for the saturation density as well as the binding energy and incompressibility at the saturation density of asymmetric nuclear matter are given exactly up to 4th-order in the isospin asymmetry delta =(rho_n -…

Nuclear Theory · Physics 2009-08-20 Lie-Wen Chen , Bao-Jun Cai , Che Ming Ko , Bao-An Li , Chun Shen , Jun Xu

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 investigated the isoscalar giant resonances in the Sn isotopes using inelastic scattering of 386-MeV alpha-particles at extremely forward angles, including 0deg. We have obtained completely "background-free inelastic-scattering…

Nuclear Experiment · Physics 2010-04-14 T. Li , U. Garg

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

We have extended the compressible liquid-drop model (CLDM) with a density-dependent surface term (eCLDM), which allows for a unified description of both the nuclear ground state energies and the incompressibility modulus in finite nuclei…

Nuclear Theory · Physics 2022-10-19 Guilherme Grams , Rahul Somasundaram , Jerome Margueron , Elias Khan

The incompressibility of infinite nuclear matter (K_\infty) is a parameter in the description of the nuclear equation of state that governs the energy cost associated with density oscillations near the saturation density. The most direct…

The strength distributions of the giant monopole resonance (GMR) have been measured in the even-A Sn isotopes (A=112--124) with inelastic scattering of 400-MeV $\alpha$ particles in the angular range $0^\circ$--$8.5^\circ$. We find that the…

Two recent studies of the evolution of the isoscalar giant monopole resonance (ISGMR) within the calcium isotope chain report conflicting results. One study suggests that the monopole resonance energy, and thus the incompressibility of the…

The incompressibility (compression modulus) $K_{\rm 0}$ of infinite symmetric nuclear matter at saturation density has become one of the major constraints on mean-field models of nuclear many-body systems as well as of models of high…

Nuclear Theory · Physics 2015-06-19 J. R. Stone , N. J. Stone , S. A. Moszkowski
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