2015
DOI: 10.1142/s0218301315500834
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Systematics of nucleon density distributions and neutron skin of nuclei

Abstract: Proton and neutron density profiles of 760 nuclei in the mass region of are analyzed using the Skyrme energy density for the parameter set SLy4. Simple formulae are obtained to fit the resulting radii and diffuseness data. These formulae are useful to estimate the values of the unmeasured radii, and especially in extrapolating charge radii values for nuclei which are far from the valley of stability or to perform analytic calculations for bound and/or scattering problems. The obtained neutron and proton root-m… Show more

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Cited by 58 publications
(64 citation statements)
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“…It is possible to estimate the neutron density at the scission point and to understand whether the density values derived from the Pauli blocking estimates are reasonable. For an exploratory calculation, we use the parametrization of neutron/proton densities in nuclei n n/ p (r ) = n 0,n/ p 1 + e (r −R n/ p )/a n/ p (12) with R n = (0.953N 1/3 + 0.015Z + 0.774) fm, R p = (1.322Z 1/3 + 0.007N + 0.0224) fm, and diffusivities a n = (0.446 + 0.072N /Z ) fm, a p = (0.449 + 0.071Z /N ) fm [47]. The neutron density at distance d sc /2 = 2.85 fm from the surface is n n = 0.0005965 fm −3 for each 124 48 Cd nucleus so that the value of the neutron density in the neck region is about n n (z = 0) = n scission n ≈ 0.0012 fm −3 .…”
Section: External Mean-field Potentialmentioning
confidence: 99%
“…It is possible to estimate the neutron density at the scission point and to understand whether the density values derived from the Pauli blocking estimates are reasonable. For an exploratory calculation, we use the parametrization of neutron/proton densities in nuclei n n/ p (r ) = n 0,n/ p 1 + e (r −R n/ p )/a n/ p (12) with R n = (0.953N 1/3 + 0.015Z + 0.774) fm, R p = (1.322Z 1/3 + 0.007N + 0.0224) fm, and diffusivities a n = (0.446 + 0.072N /Z ) fm, a p = (0.449 + 0.071Z /N ) fm [47]. The neutron density at distance d sc /2 = 2.85 fm from the surface is n n = 0.0005965 fm −3 for each 124 48 Cd nucleus so that the value of the neutron density in the neck region is about n n (z = 0) = n scission n ≈ 0.0012 fm −3 .…”
Section: External Mean-field Potentialmentioning
confidence: 99%
“…For the proton and neutron radii, we use the fits for the half density radii of nuclei (in units of femtometer) given in ref. [19].…”
Section: Nuclear Density Corrections To K P F and K N Fmentioning
confidence: 99%
“…The alpha transfer reaction 28 Si 20 Ne, 16 O 32 S at 52.3 and 70 MeV was measured by using ICARE target facility of the Heavy Ion Laboratory of the University of Warsaw [4,5]. The experimental data were analyzed theoretically.…”
Section: Introductionmentioning
confidence: 99%
“…
The α-transfer reaction 28 Si 20 Ne, 16 O 32 S at 52.3 and 70 MeV is examined by using the double-folding (DF) based on the optical model.The real part is obtained for ten different density distributions of 20 Ne projectile. For the imaginary part, the Woods-Saxon potential is used.The obtained results are compared with the experimental data of α-transfer reaction as well as the literature results.
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mentioning
confidence: 99%
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