Resonant continuum in the Hartree-Fock+BCS approximation

Sandulescu, N.; Giai, Nguyen Van; Liotta, R. J.

doi:10.1103/physrevc.61.061301

Cited by 89 publications

(130 citation statements)

References 15 publications

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“…Later on, the calculation was improved by adopting a constant-gap BCS method and calculated 1200 even-even nuclei with 10 ≤ Z ≤ 98 [28], most of which are close to the β-stability line. More recently, using the statedependent BCS method with a δ-force [29,30], the first systematic study of the ground state properties of over 7000 nuclei ranging from the proton drip line to the neutron drip line was performed [31]. Comparison of this calculation with experimental data and to the predictions of other mass models will be presented in more detail in Sec II.…”

Section: Introductionmentioning

confidence: 99%

Application of the relativistic mean-field mass model to ther-process and the influence of mass uncertainties

et al. 2008

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A new mass table calculated by the relativistic mean field approach with the state-dependent BCS method for the pairing correlation is applied for the first time to study r-process nucleosynthesis. The solar r-process abundance is well reproduced within a waiting-point approximation approach. Using an exponential fitting procedure to find the required astrophysical conditions, the influence of mass uncertainty is investigated. R-process calculations using the FRDM, ETFSI-Q and HFB-13 mass tables have been used for that purpose. It is found that the nuclear physical uncertainty can significantly influence the deduced astrophysical conditions for the r-process site. In addition, the influence of the shell closure and shape transition have been examined in detail in the r-process simulations.

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Section: Introductionmentioning

confidence: 99%

Application of the relativistic mean-field mass model to ther-process and the influence of mass uncertainties

et al. 2008

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“…The interesting result of these investigation is that only a few low energy resonant states, especially those near the Fermi surface influence in an appreciable way the pairing properties of nuclei far from the β-stability. Indeed, comparison between the results given by the resonant continuum HF+BCS 6 and the continuum HFB calculations 7 shows that a few low-lying resonances give practically the full effect of the continuum on pairing related properties. This finding has proved to be of immense significance because one can eventually make systematic studies of a large number of nuclei by using a simpler HF+BCS approximation.…”

Section: Introductionmentioning

confidence: 99%

“…A detailed comparative study of the HFB approach with those of the HFB based on the box boundary conditions, and the HF+BCS+Resonant continuum approach has been carried out by Grasso et al 7 providing insight to the validity of different approaches for the treatment of drip-line nuclei. Earlier Sandulescu et al 6 have also studied the effect of resonant continuum on the properties of neutron rich nuclei within the HF+BCS approximation. The interesting result of these investigation is that only a few low energy resonant states, especially those near the Fermi surface influence in an appreciable way the pairing properties of nuclei far from the β-stability.…”

Section: Introductionmentioning

confidence: 99%

Description of Drip-Line Nuclei Within the Relativistic Mean Field Plus BCS Approach

Yadav

Kaushik

Toki

2004

Int. J. Mod. Phys. E

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RMF + BCS description of drip-line nucleiRecently it has been demonstrated, considering Ni and Ca isotopes as prototypes, that the relativistic mean-field plus BCS (RMF+BCS) approach wherein the single particle continuum corresponding to the RMF is replaced by a set of discrete positive energy states for the calculation of pairing energy provides a good approximation to the full relativistic Hartree-Bogoliubov (RHB) description of the ground state properties of the drip-line neutron rich nuclei. The applicability of RMF+BCS approach even for the drip-line nuclei is essentially due to the fact that the main contribution to the pairing correlations for the neutron rich nuclei is provided by the low-lying resonant states, in addition to the contributions coming from the states close to the Fermi surface. In order to show the general validity of this approach we present here the results of our detailed calculations for the ground state properties of the chains of isotopes of O, Ca, Ni, Zr, Sn and Pb nuclei. The TMA force parameter set has been used for the effective meanfield Lagrangian with the nonlinear terms for the sigma and omega mesons. Further, to check the validity of our treatment for different mean-field descriptions, calculations have also been carried out for the NL-SH force parameterization usually employed for the description of drip-line nuclei. Comprehensive results for the two neutron separation energy, rms radii, single particle pairing gaps and pairing energies etc. are presented. Especially, the Ca isotopes are found to exhibit distinct features near the neutron drip line whereby it is found that further addition of neutrons causes a rapid increase in the neutron rms radius with almost no increase in the binding energy, indicating the occurrence of halos. It is mainly caused by the pairing correlations and results in the existence of bound states of extremely neutron rich exotic nuclei. Similar characteristics though less pronounced, are also exhibited by the neutron rich Zr isotopes. A comparison of these results with the available experimental data and with the recent continuum relativistic Hartree-Bogoliubov (RCHB) calculations amply demonstrates the validity and usefulness of this fast RMF+BCS approach for the description of nuclei including those near the drip-lines.

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“…During the past decades, it has attracted more and more attention in nuclear physics since it plays important roles in understanding many exotic nuclear phenomena, such as the halo [1][2][3][4], giant halo [5,6], deformed halo [7,8], and collective giant resonance [9,10]. Therefore, investigation of single-particle resonances has become a hot topic in nuclear physics.…”

Section: Introductionmentioning

confidence: 99%

Influence of the Coulomb exchange term on nuclear single-proton resonances

2016

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Nuclear single-proton resonances are sensitive to the Coulomb field, while the exchange term of Coulomb field is usually neglected due to its nonlocality. By combining the complex scaling method with the relativistic meanfield model, the influence of the Coulomb exchange term on the single-proton resonances is investigated by taking Sn isotopes and N = 82 isotones as examples. It is found that the Coulomb exchange term reduces the single-proton resonance energy within the range of 0.4−0.6 MeV, and lead to similar isotopic and isotonic trends of the resonance energy as those without the Coulomb exchange term. Moreover, the single-proton resonance width is also reduced by the Coulomb exchange term, whose influence generally decreases with the increasing neutron number and increases with the increasing proton number. However, the influence of the Coulomb exchange term cannot change the trend of the resonance width with respect to the neutron number and proton number. Furthermore, the influence of the Coulomb exchange term on the resonance width is investigated for the doubly magic nuclei 40 Ca, 56,78 Ni, 100,132 Sn, and 208 Pb. It is found that the Coulomb exchange term reduces the proton resonance width within 0.2 MeV, whose magnitude depends on the specific nucleus and the quantum numbers of resonant states.

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Resonant continuum in the Hartree-Fock+BCS approximation

Cited by 89 publications

References 15 publications

Application of the relativistic mean-field mass model to ther-process and the influence of mass uncertainties

Application of the relativistic mean-field mass model to ther-process and the influence of mass uncertainties

Description of Drip-Line Nuclei Within the Relativistic Mean Field Plus BCS Approach

Influence of the Coulomb exchange term on nuclear single-proton resonances

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