Surface and curvature properties of neutron-rich nuclei

Kolehmainen, Karen; Prakash, Madappa; Lattimer, James M.; Treiner, J.

doi:10.1016/0375-9474(85)90425-7

Cited by 59 publications

(54 citation statements)

References 44 publications

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“…When δ 0 is not very large, so that occurrence of drip nucleons does not take place (which is the situation in all cases considered in the present work), the constrained energy per unit area reads [53,59,72] …”

Section: Appendixmentioning

confidence: 99%

“…Previous literature [53,59] has shown that the systematics of experimental binding energies relates increasing values of J with decreasing values of Q in nuclear effective interactions whose parameters have been adjusted to describe experimental data. We note this same trend in Table I, where the RMF sets that in general have larger J values also tend to have smaller Q values than their nonrelativistic counterparts.…”

Section: B Properties Of the Nuclear Symmetry Energymentioning

confidence: 99%

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Neutron skin thickness in the droplet model with surface width dependence: Indications of softness of the nuclear symmetry energy

et al. 2009

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We analyze the neutron skin thickness in finite nuclei with the droplet model and effective nuclear interactions. The ratio of the bulk symmetry energy J to the so-called surface stiffness coefficient Q has in the droplet model a prominent role in driving the size of neutron skins. We present a correlation between the density derivative of the nuclear symmetry energy at saturation and the J /Q ratio. We emphasize the role of the surface widths of the neutron and proton density profiles in the calculation of the neutron skin thickness when one uses realistic mean-field effective interactions. Next, taking as experimental baseline the neutron skin sizes measured in 26 antiprotonic atoms along the mass table, we explore constraints arising from neutron skins on the value of the J /Q ratio. The results favor a relatively soft symmetry energy at subsaturation densities. Our predictions are compared with the recent constraints derived from other experimental observables. Though the various extractions predict different ranges of values, one finds a narrow window L ∼ 45-75 MeV for the coefficient L that characterizes the density derivative of the symmetry energy that is compatible with all the different empirical indications.

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Section: Appendixmentioning

confidence: 99%

Section: B Properties Of the Nuclear Symmetry Energymentioning

confidence: 99%

Neutron skin thickness in the droplet model with surface width dependence: Indications of softness of the nuclear symmetry energy

et al. 2009

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“…In Fig. 4, we show the average total energy densities minus the bulk term for several values of ω, which are taken in the range ω ≤ 1 MeV fm −1 by reference to the calculations from the Skyrme interactions [39,43]. We can recognize that the curvature effect on this energy density difference is at most ∼10% and that the assumption that the curvature energy is small is good for ω ≤ 1 MeV fm −1 .…”

Section: B Curvature Effectmentioning

confidence: 96%

“…In Ref. [39], the curvature coefficient was obtained by calculating the curvature thermodynamic potential in the Thomas-Fermi approximation with Skyrme interactions in a manner consistent with calculations of the surface tension. It was also shown that there are large variations in the curvature energy among the results for different interactions.…”

Section: Figmentioning

confidence: 99%

Curvature effect on nuclear “pasta”: Is it helpful for gyroid appearance?

2011

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In supernova cores and neutron star crusts, nuclei are thought to deform to rodlike and slablike shapes, which are often called nuclear pasta. We study the equilibrium properties of the nuclear pasta by using a liquid drop model with curvature corrections. It is confirmed that the curvature effect acts to lower the transition densities between different shapes. We also examine the gyroid structure, which was recently suggested as a different type of nuclear pasta by analogy with the polymer systems. The gyroid structure investigated in this paper is approximately formulated as an extension of the periodic minimal surface whose mean curvature vanishes. In contrast to our expectations, we find from the present approximate formulation that the curvature corrections act to slightly disfavor the appearance of the gyroid structure. By comparing the energy corrections in the gyroid phase and the hypothetical phases composed of d-dimensional spheres, where d is a general dimensionality, we show that the gyroid is unlikely to belong to a family of the generalized dimensional spheres.

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“…This coefficient is a property of each nuclear model and can be extracted from semi-infinite nucler matter calculations [43,44,45,46,47,48,49]. On the other hand, the symmetry energy around the saturation density can be expanded using the coefficients defined in Eqs.…”

Section: The Neutron Skin Thickness From Antiprotonic Atomsmentioning

confidence: 99%

Density dependence of the nuclear symmetry energy from measurements of neutron radii in nuclei

Viñas¹,

Centelles²,

Roca-Maza³

et al. 2014

AIP Conference Proceedings

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Abstract. We study the density dependence of the nuclear symmetry energy, characterized by its slope parameter L, by means of the information provided by the neutron radius and the neutron skin thickness in finite nuclei. These quantities are extracted from the analysis of data obtained in antiprotonic atoms, from the parity-violating asymmetry at low-momentum transfer in polarized electron scattering in 208 Pb, and from the electric dipole polarizability obtained via polarized proton inelastic scattering at forward angles in 208 Pb. All these experiments provide different constraints on the slope L of the symmetry energy but the corresponding values have a considerable overlap in a range around 50 MeV ≤ L ≤ 70 MeV, in a reasonable agreement with other estimates that use different observables and methods to extract L.

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Surface and curvature properties of neutron-rich nuclei

Cited by 59 publications

References 44 publications

Neutron skin thickness in the droplet model with surface width dependence: Indications of softness of the nuclear symmetry energy

Neutron skin thickness in the droplet model with surface width dependence: Indications of softness of the nuclear symmetry energy

Curvature effect on nuclear “pasta”: Is it helpful for gyroid appearance?

Density dependence of the nuclear symmetry energy from measurements of neutron radii in nuclei

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