Figure 1

Two typical dipole strength functions calculated in the nucleus ${}^{68}\mathrm{Ni}$. A nonrelativistic and a relativistic example are shown in panels (a) and (b) in which, respectively, the Skyrme force SkI3 and the NL3 parametrization of the effective RMF Lagrangian have been used. The sharp RPA peaks are averaged by using Lorentzian functions having a 1 MeV width.Reuse & Permissions

Figure 2

In panels (a) and (b), the correlation between $L$ and the percentage of TRK sum rule exhausted by the PDR in ${}^{68}\mathrm{Ni}$ and ${}^{132}\mathrm{Sn}$, respectively, is displayed. The computed data points are labeled, here and in what follows, by numbers. The correspondence with the parameter sets used is: $1=\mathrm{v}090$, $2=\mathrm{MSk}3$, $3=\mathrm{BSk}1$, $4=\mathrm{v}110$, $5=\mathrm{v}100$, $6=\mathrm{SkT}6$, $7=\mathrm{SkT}9$, $8=\mathrm{SGII}$, $9={\mathrm{SkM}}^{*}$, $10=\mathrm{SLy}4$, $11=\mathrm{SLy}5$, $12=\mathrm{SLy}230\mathrm{a}$, $13=\mathrm{LNS}$, $14=\mathrm{SkMP}$, $15=\mathrm{SkRs}$, $16=\mathrm{SkGs}$, $17=\mathrm{SK}255$, $18=\mathrm{SkI}3$, $19=\mathrm{SkI}2$, $20=\mathrm{NLC}$, $21=\mathrm{TM}1$, $22=\mathrm{PK}1$, $23=\mathrm{NL}3$, $24=\mathrm{NLBA}$, $25=\mathrm{NL}3+$, and $26=\mathrm{NLE}$. The straight lines correspond to the results of the fits. In panel (c) we show the same straight lines displayed in (a) and (b), together with the correlation coefficient $r$ and the constraints from the experiments [6, 14]. In panel (d) the correlation between $L$ and $J$ is shown. The box corresponds to the value of $L$ deduced from the weighted average of the two values extracted from ${}^{68}\mathrm{Ni}$ and ${}^{132}\mathrm{Sn}$.Reuse & Permissions

Figure 3

Panels (a), (b), and (c) display the correlations between the neutron skin thickness $\Delta R$ and the slope parameter $L$ in the case of the three nuclei analyzed in this work. The convention is the same as in the previous figure. Under the constraint for $L$ emerging from our analysis [shaded area in panel (d)], the values displayed for the neutron skin thickness in the three nuclei are obtained.Reuse & Permissions

Figure 4

Comparison between the values of $L$ extracted in the present work and those from the existing literature. In panel (a), we compare our separate results from the PDR’s of ${}^{68}\mathrm{Ni}$ and ${}^{132}\mathrm{Sn}$ with the result of Klimkiewicz et al. [6]. In panel (b) we compare with values extracted from completely different kinds of analyses: Tsang et al. [9], Shetty et al. [10], Chen et al. [8], Danielewicz [26], Danielewicz and Lee [25], Centelles et al. [11], and Klimkiewicz et al. [6].Reuse & Permissions