Abstract
The smooth N and Z dependence of nuclear rms charge radii is interpereted by a two-liquid drop model with ϱp+ϱn=ϱ0=const. Proton and neutron radii R p and R n are given in closed form. In addition to rms charge radii, the model yields the nucleon number dependence of the skin thickness, s, e.g. ds=0.00124×dA for Sn isotopes, in agreement with experimental results and theoretical calculations. A strong correlation between the two global parameters of the model — including s stthe skin thickness of the stable isotope — is established. If s stis taken from experiment, the other parameter is also fixed; this parameter (m) characterizes the restoring force responsible for the skin thickness. Its value m=2.2 suggests that — in addition to the number of nucleons in the skin — the skin thickness also influences the distribution of “surplus” nucleons between volume and skin.
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References
Angeli, Atomic Data and Nuclear Data Tables 87 (2004) 185.
A. Krasznahorkay et al., Phys. Rev. Lett. 82 (1999) 3216.
R. Schmidt et al., Phys. Rev. C67 (2003) 44308.
A. Krasznahorkay et al., Nucl. Phys. A731 (2004) 224, and private communication.
L.R.B. Elton, Nuclear Sizes, Oxford University Press, 1961.
C. Batty et al., Adv. Nucl. Phys. 19 (1989) 1.
S. Mizutori et al., Phys. Rev. C61 (2000) 44326.
G.A. Lalazissis et al., Phys. Rev. C57 (1998) 2294.
R.C. Barrett and D.F. Jackson, Nuclear Sizes and Structure, Clarendon Press, Oxford, 1977.
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Angeli, I. Description of the smooth rms charge radius surface R(N, Z) and prediction of neutron skin by a two-liquid drop model. Acta Phys. Hung. A 25, 47–56 (2006). https://doi.org/10.1556/APH.25.2006.1.4
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DOI: https://doi.org/10.1556/APH.25.2006.1.4