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Title: Isoscalar compression modes within fluid dynamic approach

Abstract

We study the nuclear isoscalar monopole and dipole compression modes in nuclei within the fluid dynamic approach (FDA) with and without the effect of relaxation. For a wide region of the medium and heavy nuclei, the FDA predicts that the isoscalar giant monopole resonance (ISGMR) and the isoscalar giant dipole resonance (ISGDR) exhaust about 90% of the corresponding model-independent sum rules. In the case of neglecting the effect of relaxation, the FDA, when adjusted to reproduce the centroid energy E0 of the ISGMR, results with centroid energy E1 of the ISGDR which is in agreement with the predictions of the self-consistent Hartree-Fock random-phase approximation calculations and the scaling model but significantly larger than the experimental value. We also show that the FDA leads to the correct hydrodynamic limit for the ratio (E1/E0){sub FDA}. We find that the ratio (E1/E0){sub FDA} depends on the relaxation time and approaches the preliminary experimental value (E1/E0){sub exp}=1.5{+-}0.1 in a short relaxation time limit. (c) 2000 The American Physical Society.

Authors:
 [1];  [2];  [3]
  1. Institute for Nuclear Research, 252028 Prospekt Nauki 47, Kiev-28, (Ukraine)
  2. (United States)
  3. Cyclotron Institute, Texas A and M University, College Station, Texas 77843-3366 (United States)
Publication Date:
OSTI Identifier:
20216921
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 61; Journal Issue: 6; Other Information: PBD: Jun 2000; Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; GIANT RESONANCE; HYDRODYNAMIC MODEL; MONOPOLES; DIPOLES; COMPRESSION; HARTREE-FOCK METHOD; RANDOM PHASE APPROXIMATION; RELAXATION TIME; THEORETICAL DATA

Citation Formats

Kolomietz, V. M., Cyclotron Institute, Texas A and M University, College Station, Texas 77843-3366, and Shlomo, S. Isoscalar compression modes within fluid dynamic approach. United States: N. p., 2000. Web. doi:10.1103/PhysRevC.61.064302.
Kolomietz, V. M., Cyclotron Institute, Texas A and M University, College Station, Texas 77843-3366, & Shlomo, S. Isoscalar compression modes within fluid dynamic approach. United States. doi:10.1103/PhysRevC.61.064302.
Kolomietz, V. M., Cyclotron Institute, Texas A and M University, College Station, Texas 77843-3366, and Shlomo, S. Thu . "Isoscalar compression modes within fluid dynamic approach". United States. doi:10.1103/PhysRevC.61.064302.
@article{osti_20216921,
title = {Isoscalar compression modes within fluid dynamic approach},
author = {Kolomietz, V. M. and Cyclotron Institute, Texas A and M University, College Station, Texas 77843-3366 and Shlomo, S.},
abstractNote = {We study the nuclear isoscalar monopole and dipole compression modes in nuclei within the fluid dynamic approach (FDA) with and without the effect of relaxation. For a wide region of the medium and heavy nuclei, the FDA predicts that the isoscalar giant monopole resonance (ISGMR) and the isoscalar giant dipole resonance (ISGDR) exhaust about 90% of the corresponding model-independent sum rules. In the case of neglecting the effect of relaxation, the FDA, when adjusted to reproduce the centroid energy E0 of the ISGMR, results with centroid energy E1 of the ISGDR which is in agreement with the predictions of the self-consistent Hartree-Fock random-phase approximation calculations and the scaling model but significantly larger than the experimental value. We also show that the FDA leads to the correct hydrodynamic limit for the ratio (E1/E0){sub FDA}. We find that the ratio (E1/E0){sub FDA} depends on the relaxation time and approaches the preliminary experimental value (E1/E0){sub exp}=1.5{+-}0.1 in a short relaxation time limit. (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevC.61.064302},
journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 6,
volume = 61,
place = {United States},
year = {2000},
month = {6}
}