Isoscalar giant monopole resonance and its overtone in microscopic and macroscopic models

Abstract

We calculate the transition density for the overtone of the isosclar giant monopole resonance (ISGMR) from the response to an appropriate external field ${\hat{f}}_{\xi }(r)$ obtained using the seemiclassical fluid dynamic approximation and the Hartree-Fock (HF) based random phase approximation (RPA). We determine the mixing parameter $\xi$ by maximizing the ratio of the energy weighted sum for the overtone mode to the total energy weighted sum rule and derive a simple expression for the microscopic transition density associated with the overtone mode. This macroscopic transition density agrees well with that obtained from the HF-RPA calculations. We also point out that the ISGMR and its overtone can be clearly identified by considering the response to the electromagnetic external field ${\hat{j}}_o(qr)$ .

Revtex file (18 pages) and 6 figures. Appearing in Physical Review C

References in corpus (2)

• Isoscalar Giant Dipole Resonance and Nuclear Matter Incompressibility Coefficient
• Self-Consistent Hartree-Fock Based Random Phase Approximation And The Spurious State Mixing

Cited by in corpus (7)

• Nuclear Equation of State from ground and collective excited state properties of nuclei
• Overtones of Isoscalar Giant Resonances in medium-heavy and heavy nuclei
• Investigation of the energy-averaged double transition density of isoscalar monopole excitations in medium-heavy mass spherical nuclei
• Continuum RPA study of the incoherent mu-e conversion rate and its spurious 1- admixture
• A microscopic investigation of the transition form factor in the region of collective multipole excitations of stable and unstable nuclei
• The role of the continuum and the spurious 1- transitions in incoherent mu - e conversion rate calculations
• Energy density functional and sensitivity of energies of giant resonances to bulk nuclear matter properties