Neutron skin and giant resonances in nuclei

Abstract

Some aspects, both experimental and theoretical, of extracting the neutron skin ∆R from properties of isovector giant resonances are discussed. Existing proposals are critically reviewed. The method relying on the energy difference between the GTR and IAS is shown to lack sensitivity to ∆R. A simple explanation of the linear relation between the symmetry energy and the neutron skin is also presented.

Effective surface properties of light, heavy, and superheavy nuclei

“…Here, the quantities on the left-hand-side of Eqs. (18)(19)(20) are surface weighted average of the corresponding nuclear matter quantities with local density approximation, which have been determined within the method of Brueckner et. al., [50,51].…”

“…These quantities are folded in the Eqs. (18)(19)(20) with the weight function to find the corresponding quantities of finite nuclei within the CDFM.…”

“…It would be worth to illustrate the point that why these quantities are referred as the surface properties and how to find the limits of integration (Eqs. [18][19][20].…”

“…The limits are used in Eqs. (18)(19)(20) to find the symmetry energy, neutron pressure, and symmetry energy curvature, respectively. It can be notice from Fig.…”

Surface properties of neutron-rich exotic nuclei: A source for studying the nuclear symmetry energy

“…The nuclear symmetry energy is a quantity of crucial importance in different areas of nuclear physics, including structure of ground-state nuclei [1][2][3], dynamics of heavy-ion reactions [4][5][6], physics of giant collective excitations [7] and physics of neutron stars [8][9][10]. Recently, the interest in the symmetry energy has been stirred up by novel astrophysical observations and by the availability of exotic beams in accelerators that provide additional information to the standard nuclear asymmetry studies based on stable nuclei.…”