Abstract:The cranked relativistic Hartree-Bogoliubov (CRHB) theory has been applied for a systematic study of pairing and rotational properties of actinides and light superheavy nuclei. Pairing correlations are taken into account by the Brink-Booker part of finite range Gogny D1S force. For the first time in the covariant density functional theory (CDFT) framework the pairing properties are studied via the quantities (such as three-point ∆ (3) indicators) related to odd-even mass staggerings. The investigation of the m… Show more
“…3 in the present paper). The weak dependence of the scaling factor f on the CEDF has already been seen in the studies of pairing and rotational properties in the actinides [11,17]. Considering the global character of the study in Ref.…”
Section: E Comments On Pairing Uncertaintiesmentioning
confidence: 99%
“…15 in Ref. [11]). This mechanism combined with the gradual increase of the deformation and neutron number allows to keep the neutron chemical po-tential in the vicinity of zero energy for an extended range of neutron numbers (Fig.…”
Section: The Impact Of Pairing Properties On the Position Of Twomentioning
confidence: 99%
“…15 in Ref. [11]). In the NL3* CEDF the energies of the spherical single-particle orbitals, from which these deformation driving intruder orbitals emerge, are such that lowering of the low Ω orbitals due to deformation triggers the chemical potential to become negative ( Fig.…”
Section: A Representative Example Of the Rn Isotopesmentioning
confidence: 99%
“…The weak dependence of the scaling factor f on the CEDF has been seen in the studies of pairing and rotational properties in the actinides in Refs. [11,17] and pairing gaps in spherical nuclei in Ref. [3].…”
Section: B Pairing Forcementioning
confidence: 99%
“…The effective pairing interaction is treated in DFT in a phenomenological way with its strength fixed by a fit to experimental observables such as odd-even mass staggerings [3,10] or moments of inertia in rotating nuclei [11]. While in light nuclei the comparison with experiment in the vicinity of two-neutron drip line will be possible in future, the situation is different in medium and heavy mass nuclei for which the neutron drip line is located far away from existing or future experimental data.…”
The sources of theoretical uncertainties in the prediction of the two-neutron drip line are analyzed in the framework of covariant density functional theory. We concentrate on single-particle and pairing properties as potential sources of these uncertainties. The major source of these uncertainties can be traced back to the differences in the underlying single-particle structure of the various covariant energy density functionals (CEDF). It is found that the uncertainties in the description of single-particle energies at the two-neutron drip line are dominated by those existing already in known nuclei. Only approximately one third of these uncertainties are due to the uncertainties in the isovector channel of CEDF's. Thus, improving the CEDF description of single-particle energies in known nuclei will also reduce the uncertainties in the prediction of the position of two-neutron drip line. The predictions of pairing properties in neutron rich nuclei depend on the CEDF. Although pairing properties affect moderately the position of the two-neutron drip line they represent only a secondary source for the uncertainties in the definition of the position of the two-neutron drip line.
“…3 in the present paper). The weak dependence of the scaling factor f on the CEDF has already been seen in the studies of pairing and rotational properties in the actinides [11,17]. Considering the global character of the study in Ref.…”
Section: E Comments On Pairing Uncertaintiesmentioning
confidence: 99%
“…15 in Ref. [11]). This mechanism combined with the gradual increase of the deformation and neutron number allows to keep the neutron chemical po-tential in the vicinity of zero energy for an extended range of neutron numbers (Fig.…”
Section: The Impact Of Pairing Properties On the Position Of Twomentioning
confidence: 99%
“…15 in Ref. [11]). In the NL3* CEDF the energies of the spherical single-particle orbitals, from which these deformation driving intruder orbitals emerge, are such that lowering of the low Ω orbitals due to deformation triggers the chemical potential to become negative ( Fig.…”
Section: A Representative Example Of the Rn Isotopesmentioning
confidence: 99%
“…The weak dependence of the scaling factor f on the CEDF has been seen in the studies of pairing and rotational properties in the actinides in Refs. [11,17] and pairing gaps in spherical nuclei in Ref. [3].…”
Section: B Pairing Forcementioning
confidence: 99%
“…The effective pairing interaction is treated in DFT in a phenomenological way with its strength fixed by a fit to experimental observables such as odd-even mass staggerings [3,10] or moments of inertia in rotating nuclei [11]. While in light nuclei the comparison with experiment in the vicinity of two-neutron drip line will be possible in future, the situation is different in medium and heavy mass nuclei for which the neutron drip line is located far away from existing or future experimental data.…”
The sources of theoretical uncertainties in the prediction of the two-neutron drip line are analyzed in the framework of covariant density functional theory. We concentrate on single-particle and pairing properties as potential sources of these uncertainties. The major source of these uncertainties can be traced back to the differences in the underlying single-particle structure of the various covariant energy density functionals (CEDF). It is found that the uncertainties in the description of single-particle energies at the two-neutron drip line are dominated by those existing already in known nuclei. Only approximately one third of these uncertainties are due to the uncertainties in the isovector channel of CEDF's. Thus, improving the CEDF description of single-particle energies in known nuclei will also reduce the uncertainties in the prediction of the position of two-neutron drip line. The predictions of pairing properties in neutron rich nuclei depend on the CEDF. Although pairing properties affect moderately the position of the two-neutron drip line they represent only a secondary source for the uncertainties in the definition of the position of the two-neutron drip line.
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