dorsal/arxiv
View SchemaSum Rule Approach to the Isoscalar Giant Monopole Resonance in Drip Line Nuclei
| Authors | M. Centelles, X. Vinas, S. K. Patra, J. N. De, Tapas Sil |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0502055 |
| URL | https://arxiv.org/abs/nucl-th/0502055 |
| DOI | 10.1103/PhysRevC.72.014304 |
| Journal | Phys.Rev.C72:014304,2005 |
Abstract
Using the density-dependent Hartree-Fock approximation and Skyrme forces together with the scaling method and constrained Hartree-Fock calculations, we obtain the average energies of the isoscalar giant monopole resonance. The calculations are done along several isotopic chains from the proton to the neutron drip lines. It is found that while approaching the neutron drip line, the scaled and the constrained energies decrease and the resonance width increases. Similar but smaller effects arise near the proton drip line, although only for the lighter isotopic chains. A qualitatively good agreement is found between our sum rule description and the presently existing random phase approximation results. The ability of the semiclassical approximations of the Thomas-Fermi type, which properly describe the average energy of the isoscalar giant monopole resonance for stable nuclei, to predict average properties for nuclei near the drip lines is also analyzed. We show that when hbar corrections are included, the semiclassical estimates reproduce, on average, the quantal excitation energies of the giant monopole resonance for nuclei with extreme isospin values.
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"abstract": "Using the density-dependent Hartree-Fock approximation and Skyrme forces\ntogether with the scaling method and constrained Hartree-Fock calculations, we\nobtain the average energies of the isoscalar giant monopole resonance. The\ncalculations are done along several isotopic chains from the proton to the\nneutron drip lines. It is found that while approaching the neutron drip line,\nthe scaled and the constrained energies decrease and the resonance width\nincreases. Similar but smaller effects arise near the proton drip line,\nalthough only for the lighter isotopic chains. A qualitatively good agreement\nis found between our sum rule description and the presently existing random\nphase approximation results. The ability of the semiclassical approximations of\nthe Thomas-Fermi type, which properly describe the average energy of the\nisoscalar giant monopole resonance for stable nuclei, to predict average\nproperties for nuclei near the drip lines is also analyzed. We show that when\nhbar corrections are included, the semiclassical estimates reproduce, on\naverage, the quantal excitation energies of the giant monopole resonance for\nnuclei with extreme isospin values.",
"arxiv_id": "nucl-th/0502055",
"authors": [
"M. Centelles",
"X. Vinas",
"S. K. Patra",
"J. N. De",
"Tapas Sil"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.72.014304",
"journal_ref": "Phys.Rev.C72:014304,2005",
"title": "Sum Rule Approach to the Isoscalar Giant Monopole Resonance in Drip Line Nuclei",
"url": "https://arxiv.org/abs/nucl-th/0502055"
},
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