Relativistic Hartree Calculations for Axially Deformed Nuclei

Lee, Suk-Joon; Fink, J.; Balantekin, A. B.; Strayer, M. R.; Umar, A. S.; Reinhard, P.‐G.; Maruhn, J. A.; Greiner, A.

doi:10.1103/physrevlett.57.2916

Cited by 118 publications

(62 citation statements)

References 23 publications

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“…Our RTF and RETF results for the excitation energy of the isoscalar giant monopole resonance (GMR) obtained in the scaling approach are displayed in [45] (K ∞ = 399 MeV, m * ∞ /m = 0.67). The predictive power of these parametrizations is well known and some examples can be found, e.g., in Ref.…”

Section: Numerical Resultsmentioning

confidence: 99%

Scaling calculation of isoscalar giant resonances in relativistic Thomas–Fermi theory

et al. 2002

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Section: Numerical Resultsmentioning

confidence: 99%

Scaling calculation of isoscalar giant resonances in relativistic Thomas–Fermi theory

et al. 2002

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“…For the calculations of Carbon isotopes, the DWS basis parameters are taken as follows: the spherical box-size is fixed to 30 fm and consistently the numbers of basis states with positive and negative energies are chosen as 48 and 12, respectively. In this work, we performed systematical calculations for the Carbon isotopes from 10 C to 22 C by the RHFB and RHB theories, utilizing the effective interactions with density-dependent meson couplings, namely PKA1 [24], PKO2 [25] and PKO3 [25], PKDD [40] and DD-ME2 [41], and the ones with nonlinear self-couplings, i.e., PK1 [40] and NL2 [42]. The details of the selected effective Lagrangians are referred to Table I.…”

Section: Arxiv:12105388v2 [Nucl-th] 23 Feb 2013mentioning

confidence: 99%

Description of carbon isotopes within relativistic Hartree-Fock-Bogoliubov theory

Sun

Long

2013

Phys. Rev. C

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Within the relativistic Hartree-Fock-Bogoliubov (RHFB) theory, the structure properties of Carbon isotopes are systematically studied. To provide better overall description, the finite-range Gogny force D1S with an adjusted strength factor is adopted as the effective paring interaction in particle-particle channel. The selfconsistent RHFB calculations with density-dependent meson-nucleon couplings indicate the single-neutron halo structures in both 17 C and 19 C, whereas the two-neutron halo in 22 C is not well supported. It is also found that close to the neutron drip line there exists distinct odd-even staggering on neutron radii, which is tightly related with the blocking effects and correspondingly the blocking effect plays a significant role in the single-neutron halo formation.

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“…The earliest parameter sets obtained were NL1 (K ∞ = 211 MeV) [24] and NL2 (K ∞ = 399 MeV) [38]. However, due to the large asymmetry energy J, these sets were not appropriate for nuclei away from the stability line.…”

Section: The Nonlinear-σ Modelmentioning

confidence: 99%

The breathing-mode giant monopole resonance and the surface compressibility in the relativistic mean-field theory

Sharma

2009

Nuclear Physics A

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The breathing-mode isoscalar giant monopole resonance (GMR) is investigated using the generator coordinate method within the relativistic mean-field (RMF) theory. Employing the Lagrangian models of the nonlinear-σ model (NLσ), the scalarvector interaction model (SVI) and the σ-ω coupling model (SIGO), we show that each Lagrangian model exhibits a distinctly different GMR response. Consequently, Lagrangian models yield a different value of the GMR energy for a given value of the nuclear matter incompressibility K ∞ . It is shown that this effect arises largely from a different value of the surface incompressibility K surf inherent to each Lagrangian model, thus giving rise to the ratio K surf /K ∞ which depends upon the Lagrangian model used. This is attributed to a difference in the density dependence of the meson masses and hence to the density dependence of the nuclear interaction amongst various Lagrangian models. The sensitivity of the GMR energy to the Lagrangian model used and thus emergence of a multitude of GMR energies for a given value of K ∞ renders the method of extracting K ∞ on the basis of interpolation amongst forces as inappropriate. As a remedy, the need to 'calibrate' the density dependence of the nuclear interaction in the RMF theory is proposed.Key words: Relativistic mean-field theory, nonlinear-σ model, scalar-vector interaction model SVI, σ-ω coupling model SIGO, density dependence of meson masses, generator coordinate method, breathing-mode giant monopole resonance, incompressibility of nuclear matter, surface incompressibility.

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Relativistic Hartree Calculations for Axially Deformed Nuclei

Cited by 118 publications

References 23 publications

Scaling calculation of isoscalar giant resonances in relativistic Thomas–Fermi theory

Scaling calculation of isoscalar giant resonances in relativistic Thomas–Fermi theory

Description of carbon isotopes within relativistic Hartree-Fock-Bogoliubov theory

The breathing-mode giant monopole resonance and the surface compressibility in the relativistic mean-field theory

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