期刊
PHYSICAL REVIEW C
卷 88, 期 6, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevC.88.064323
关键词
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资金
- Agence Nationale de la Recherche [ANR 2010 BLANC 0407]
- CNRS/IN2P3 through the PICS [5994]
- European Union's Seventh Framework Programme ENSAR [n262010]
- Belgian Office for Scientific Policy [PAI-P7-12]
- Academy of Finland
- University of Jyvaskyla within the FIDIPRO program
- F.R.S.-FNRS Belgium
Background: It is known that some well established parametrizations of the nuclear energy density functional (EDF) do not always lead to converged results for nuclei. Earlier studies point towards the existence of a qualitative link between this finding and the appearance of finite-size instabilities of symmetric nuclear matter (SNM) near saturation density when computed within the random phase approximation (RPA). Purpose: We aim to establish a stability criterion based on computationally friendly RPA calculations that can be incorporated into fitting procedures of the coupling constants of the EDF. Therefore, a quantitative and systematic connection between the impossibility to converge self-consistent calculations of nuclei and the occurrence of finite-size instabilities in SNM is investigated for the scalar-isovector (S = 0, T = 1) instability of the standard Skyrme EDF. Results: Tuning the coupling constant C-1(rho Delta rho) of the gradient term that triggers scalar-isovector instabilities of the standard Skyrme EDF, we find that the occurrence of instabilities in finite nuclei depends strongly on the numerical scheme used to solve the self-consistent mean-field equations. Once the critical value of the coupling constant C-1(rho Delta rho) is determined in nuclei, one can extract the corresponding lowest density rho(crit) at which a pole appears at zero energy in the RPA response function. Conclusions: Instabilities of finite nuclei can be artificially hidden due to the choice of inappropriate numerical schemes or overly restrictive, e. g., spherical, symmetries. Our analysis suggests a twofold stability criterion to avoid scalar-isovector instabilities.
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