Giant monopole energies from a constrained relativistic mean-field approach

Chen, Wei-Chia; Piekarewicz, J.; Centelles, M.

doi:10.1103/physrevc.88.024319

Cited by 12 publications

(21 citation statements)

References 63 publications

(107 reference statements)

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“…However, if we select C = 70 − 80 for lighter mass isotopes and C = 80 − 86 for the super heavy region, then that fits well with our results, which are slightly different than C=80 obtained by fitting the data for stable nuclei [70][71][72]. In table 4, we have shown the results obtained in the RETF formalism with the FSUGold parameter set and compared with other predictions like the random phase approximation (RPA) and CRMF [75]. The experimental data are also given, where available, for comparison.…”

Section: Isoscalar Giant Monopole Resonancesupporting

confidence: 74%

Isoscalar giant monopole resonance for drip-line and super heavy nuclei in the framework of relativistic mean field formalism with scaling calculation

Biswal

Patra

2014

Open Physics

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Abstract:We study the isoscalar giant monopole resonance for drip-lines and super heavy nuclei in the framework of relativistic mean field theory with a scaling approach. The well known extended Thomas-Fermi approximation in the nonlinear σ -ω model is used to estimate the giant monopole excitation energy for some selected light spherical nuclei starting from the region of proton to neutron drip-lines. The application is extended to the super heavy region for Z=114 and 120, which are predicted by several models as the next proton magic numbers beyond Z=82. We compared the excitation energy obtained by four successful force parameters NL1, NL3, NL3 * , and FSUGold. The monopole energy decreases toward the proton and neutron drip-lines in an isotopic chain for lighter mass nuclei, in contrast to a monotonic decrease for super heavy isotopes. The maximum and minimum monopole excitation energies are obtained for nuclei with minimum and maximum isospin in an isotopic chain, respectively.

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Section: Isoscalar Giant Monopole Resonancesupporting

confidence: 74%

Isoscalar giant monopole resonance for drip-line and super heavy nuclei in the framework of relativistic mean field formalism with scaling calculation

Biswal

Patra

2014

Open Physics

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“…The theoretical results listed on the table were obtained by following the constrained RMF formalism developed in Ref. [67]. The same information has been displayed in graphical form in Fig.…”

Section: Giant Monopole Resonancesmentioning

confidence: 99%

“…Theoretical results were obtained by following the constrained RMF formalism developed in Ref. [67].…”

Section: Giant Monopole Resonancesmentioning

confidence: 99%

Building relativistic mean field models for finite nuclei and neutron stars

2014

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Background: Theoretical approaches based on density functional theory provide the only tractable method to incorporate the wide range of densities and isospin asymmetries required to describe finite nuclei, infinite nuclear matter, and neutron stars.Purpose: A relativistic energy density functional (EDF) is developed to address the complexity of such diverse nuclear systems. Moreover, a statistical perspective is adopted to describe the information content of various physical observables.Methods: We implement the model optimization by minimizing a suitably constructed χ 2 objective function using various properties of finite nuclei and neutron stars. The minimization is then supplemented by a covariance analysis that includes both uncertainty estimates and correlation coefficients.Results: A new model, "FSUGold 2 ", is created that can well reproduce the ground-state properties of finite nuclei, their monopole response, and that accounts for the maximum neutron star mass observed up to date. In particular, the model predicts both a stiff symmetry energy and a soft equation of state for symmetric nuclear matter-suggesting a fairly large neutron-skin thickness in 208 Pb and a moderate value of the nuclear incompressibility. Conclusions:We conclude that without any meaningful constraint on the isovector sector, relativistic EDFs will continue to predict significantly large neutron skins. However, the calibration scheme adopted here is flexible enough to create models with different assumptions on various observables. Such a scheme-properly supplemented by a covariance analysis-provides a powerful tool to identify the critical measurements required to place meaningful constraints on theoretical models.

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“…50,51 Since first identified, many explanations have been offered, including invoking the superfluid character of tin, to no avail. 4,8,[52][53][54][55][56][57][58][59][60][61][62] Note that the "softness of Tin" persists in the nearby (Z = 48) isotopic chain in Cadmium. 63 To underscore the challenge facing theoretical models we display in Fig.…”

Section: Isoscalar Giant Monopole Resonancementioning

confidence: 99%

Nuclear collective excitations: A relativistic density functional approach

Piekarewicz

2015

Int. J. Mod. Phys. E

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Density functional theory provides the most promising, and likely unique, microscopic framework to describe nuclear systems ranging from finite nuclei to neutron stars. Properly optimized energy density functionals define a new paradigm in nuclear theory where predictive capability is possible and uncertainty quantification is demanded. Moreover, density functional theory offers a consistent approach to the linear response of the nuclear ground state. In this paper, we review the fundamental role played by nuclear collective modes in uncovering novel excitations and in guiding the optimization of the density functional. Indeed, without collective excitations the determination of the density functional remains incomplete. Without collective excitations, the equation of state of neutron-rich matter continues to be poorly constrained. We conclude with a discussion of some of the remaining challenges in this field and propose a path forward to address these challenges. PACS Number(s): 21.60.Jz, 24.30.Cz, 21.65.Mn 1541003-1 Int. J. Mod. Phys. E 2015.24. Downloaded from www.worldscientific.com by FLINDERS UNIVERSITY LIBRARY on 10/04/15. For personal use only. J. PiekarewiczBesides being a fundamental nuclear structure question, its answer is vital to understanding the equation of state (EOS) of infinite nuclear matter. Indeed, the EOS plays a critical role in elucidating the dynamics of heavy ion collisions, the structure of neutron stars and the mechanism of core-collapse supernovae. Nuclear collective excitations, or "giant resonances", encapsulate the dynamic response of the nuclear ground state to external perturbations. As such, they offer a unique view of the nucleus that is often not accessible otherwise. Because of their relevance to the EOS, this paper will be limited to the study of two collective modes: the isoscalar monopole and the isovector dipole resonances. 3 Whereas the former is mostly sensitive to the incompressibility of symmetric nuclear matter, the latter constraints the density dependence of the nuclear symmetry energy. 4 For the possible impact of other nuclear modes on the nuclear EOS see Refs. 5-8. The isoscalar monopole resonance measures the collective response of the nucleus to small density fluctuations. Pictorially, this collective excitation in which protons and neutrons oscillate in phase around the equilibrium density may be perceived as a nuclear "breathing" mode. Given that nuclear matter saturates, the pressure at saturation density vanishes. Thus, the isoscalar monopole resonance probes the curvature of the EOS at saturation density, or equivalently, the incompressibility of symmetric nuclear matter. However, because heavy nuclei are typically neutron rich (e.g., 208 Pb) their monopole response probes the incompressibility of asymmetric matter, which in turn is sensitive to the density dependence of the symmetry energy. 9 Unfortunately, access to the symmetry energy is hindered by the relatively low neutron-proton asymmetry of stable nuclei, so one looks forward to the measurement ...

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Giant monopole energies from a constrained relativistic mean-field approach

Cited by 12 publications

References 63 publications

Isoscalar giant monopole resonance for drip-line and super heavy nuclei in the framework of relativistic mean field formalism with scaling calculation

Isoscalar giant monopole resonance for drip-line and super heavy nuclei in the framework of relativistic mean field formalism with scaling calculation

Building relativistic mean field models for finite nuclei and neutron stars

Nuclear collective excitations: A relativistic density functional approach

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