Isoscalar giant monopole resonance in Sn isotopes using a quantum molecular dynamics model

Abstract

The isoscalar giant monopole resonance (ISGMR) in Sn isotopes and other nuclei is investigated in the framework of the isospin-dependent quantum molecular dynamics (IQMD) model. The spectrum of GMR is calculated by taking the root-mean-square (RMS) radius of a nucleus as its monopole moment. The peak energy, the full width at half maximum (FWHM), and the strength of GMR extracted by a Gaussian fit to the spectrum have been studied. The GMR peak energies for Sn isotopes from the calculations using a mass-number dependent Gaussian wave-packet width ${\sigma }_r$ for nucleons are found to be overestimated and show a weak dependence on the mass number compared with the experimental data. However, it is found that experimental data of the GMR peak energies for ${}^{56}$Ni, ${}^{90}$Zr, and ${}^{208}$Pb as well as Sn isotopes can be nicely reproduced after taking into account the isospin dependence in isotope chains in addition to the mass number dependence of ${\sigma }_r$ for nucleons in the IQMD model calculation.

9 pages, 12 figures; accepted by Phys. Rev. C

References in corpus (20)

• Neutron-Rich Nuclei in Heaven and Earth
• Isotopic dependence of the giant monopole resonance in the even-A ^{112-124}Sn isotopes and the asymmetry term in nuclear incompressibility
• Higher-order effects on the incompressibility of isospin asymmetric nuclear matter
• Incompressibility of neutron-rich matter
• Constraining the nuclear equation of state at subsaturation densities
• Isoscalar giant resonances in the Sn nuclei and implications for the asymmetry term in the nuclear-matter incompressibility
• Isospin effects on the energy of vanishing flow in heavy-ion collisions
• The Giant Monopole Resonance in the Sn Isotopes: Why is Tin so "Fluffy"?
• Why is Tin so soft?
• Giant Monopole Resonance in even-A Cd isotopes, the asymmetry term in nuclear incompressibility, and the "softness" of Sn and Cd nuclei
• Effect of the symmetry energy on nuclear stopping and its relation to the production of light charged fragments
• Elliptical flow and isospin effects in heavy-ion collisions at intermediate energies
• Unified Description of Nuclear Stopping in Central Heavy-ion Collision from 10$A$ MeV to 1.2$A$ GeV
• Surveying the Nucleon-Nucleon Momentum Correlation Function in the Framework of Quantum Molecular Dynamics Model
• The role of superfluidity in nuclear incompressibilities
• Pygmy and Giant Dipole Resonances by Coulomb Excitation using a Quantum Molecular Dynamics model
• The Giant Monopole Resonance in Pb isotopes
• Dynamical dipole $\gamma$ radiation in heavy-ion collisions on the basis of the quantum molecular dynamics model
• On the participant-spectator matter and thermalization of neutron-rich systems in heavy-ion collisions
• The asymmetry term in the nuclear-matter incompressibility from measurements on the giant monopole resonance: An Update

Cited by in corpus (7)

• Giant Dipole Resonance as a Fingerprint of $\alpha$ Clustering Configurations in ${}^{12}$C and ${}^{16}$O
• Nuclear dynamics and particle production near threshold energies in heavy-ion collisions
• Dipole oscillation modes in light $\alpha$-clustering nuclei
• Dipole excitation of ${}^6$Li and ${}^9$Be studied with an extended quantum molecular dynamics model
• Nuclear collective dynamics in transport model with the lattice Hamiltonian method
• Giant dipole resonance in proton capture reactions using an extended quantum molecular dynamics model
• Isovector giant dipole resonance mode with an improved propagation approach in the framework of EQMD model