PREPRINT
0708F83F-1861-4DF7-A0D1-955BF269B556

# Relativistic Approach to Isoscalar Giant Resonances in 208Pb

J. Piekarewicz
arXiv:nucl-th/0003029

Submitted on 13 March 2000

## Abstract

We calculate the longitudinal response of 208Pb using a relativistic random-phase approximation to three different parameterizations of the Walecka model with scalar self-interactions. From a nonspectral calculation of the response-that automatically includes the mixing between positive- and negative-energy states-we extract the distribution of strength for the isoscalar monopole, dipole, and high-energy octupole resonances. We employ a consistent formalism that uses the same interaction in the calculation of the ground state as in the calculation of the response. As a result, the conservation of the vector current is strictly maintained throughout the calculation. Further, at small momentum transfers the spurious dipole strength-associated with the uniform translation of the center-of-mass-gets shifted to zero excitation energy and is cleanly separated from the sole remaining physical fragment located at an excitation energy of about 24 MeV; no additional dipole strength is observed. The best description of the collective modes is obtained using a soft'' parameterization having a compression modulus of K=224 MeV.

## Preprint

Comment: 4 Revtex pages and 3 eps figures; submitted to PRC

Subjects: Nuclear Theory; Astrophysics; Nuclear Experiment