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Isoscalar and isovector giant resonances in 92,94,96,98,100$$\mathrm{Mo}$$ and 90,92,94$$\mathrm{Zr}$$

Journal Article · · Nuclear Physics. A
 [1];  [2];  [2];  [2];  [3];  [2]
  1. Texas A & M University, College Station, TX (United States); Texas A&M University
  2. Texas A & M University, College Station, TX (United States)
  3. Duke University, Durham, NC (United States). Triangle Universities Nuclear Laboratory
The response functions, S(E), and centroid energies, ECEN, of the isoscalar and isovector giant resonances of multipolarity L = 0 - 3 in 92,94,96,98,100Mo and 90,92,94Zr have been calculated employing the spherical Hartree-Fock (HF) based random phase approximation (RPA) method, using the Skyrme-type effective nucleon-nucleon interaction. In particular, we investigate the recent experimental results of the uncharacteristic behavior of ECEN for the isoscalar giant resonances, by extending our HF-based RPA calculations with only the KDE0v1 interaction to 32 additional Skyrme interactions. The main result of our investigation is that we find significant disagreements between the theoretical and the experimental values of ECEN for isoscalar giant monopole and dipole resonance of some nuclei. For the isoscalar giant octupole resonance we find the theoretical values of the ECEN to be well above the experimental results. We also study the sensitivity of ECEN to nuclear matter (NM) properties, including the effective mass, the incompressibility coefficient and the symmetry energy at saturation density, by determining the Pearson linear correlation coefficient between the calculated values of ECEN and the various nuclear matter properties of each Skyrme parametrization. So, for the isovector giant dipole resonance we find good agreement between the experimental and theoretical values of ECEN for Skyrme interactions with values of the enhancement coefficient of the energy weighted sum rule, κ, in the range between 0.25 – 0.70
Research Organization:
Texas A & M University, College Station, TX (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC)
Grant/Contract Number:
FG03-93ER40773
OSTI ID:
1801002
Alternate ID(s):
OSTI ID: 1703634
OSTI ID: 22888925
Journal Information:
Nuclear Physics. A, Journal Name: Nuclear Physics. A Journal Issue: C Vol. 992; ISSN 0375-9474
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

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