Neutron-skin thickness determines the surface tension of a compressible nuclear droplet

Abstract

We systematically investigate the neutron-skin thickness of neutron-rich nuclei within a compressible droplet model, which includes several parameters characterizing the surface tension and the equation of state (EOS) of asymmetric nuclear matter as well as corrections due to the surface diffuseness. Such a systematic analysis helps towards constraining the EOS parameters of asymmetric nuclear matter and the poorly known density dependence of the surface tension; the latter is estimated with help of available experimental data for the neutron and proton density distributions and the nuclear masses. Validity of the present approach is confirmed by calculating realistic density distributions of Ca, Ni, Zr, Sn, Yb, and Pb isotopes within a microscopic Skyrme-Hartree-Fock+BCS method for various sets of the effective nuclear force. Our macroscopic model accompanied by the diffuseness corrections works well in the sense that it well reproduces the evolution of the microscopically deduced neutron-skin thickness with respect to the neutron number for selected sets of the effective nuclear force. We find that the surface tension of the compressible nuclear droplet is a key to bridging a gap between microscopic and macroscopic approaches.

arXiv comment11 pages, 7 figures

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Cited by in corpus (8)

• Swelling of doubly magic ${}^{48}$Ca core in Ca isotopes beyond $N=28$
• Nuclear surface diffuseness revealed in nucleon-nucleus diffraction
• Core swelling in spherical nuclei: An indication of the saturation of nuclear density
• Large enhancement of total reaction cross sections at the edge of the island of inversion in Ti, Cr, and Fe isotopes
• The relationship of the neutron-skin thickness to the symmetry energy and its slope
• Nuclear jets in heavy-ion collisions recall a stream of sand
• Utility of antiproton-nucleus scattering for probing nuclear surface density distributions
• Dynamic description of ternary and quaternary splits of heavy nuclear systems in the deep-inelastic regime