Systematics of Nuclear Charge Radii

Nadjakov, E.; Marinova, K. P.; Gangrsky, Yu. P.

doi:10.1006/adnd.1994.1004

Cited by 157 publications

(115 citation statements)

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“…However, at these very places, there appears another solution at a small ( 0.5 MeV) excitation with β having the same sign as and value close to that of MN. The calculated charge radii differ from their corresponding experimental values (where available) [19][20][21][22][23] only at second decimal place of a Fermi. These observations are now standard and well established (see, for example, Refs.…”

Section: Rmf Calculation: Results and Discussion Of Ground State mentioning

confidence: 57%

Recently measured reaction cross sections with low energy fp-shell nuclei as projectiles: Microscopic description

Bhagwat

Gambhir²

2006

Phys. Rev. C

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The finite range Glauber model along with the Coulomb modification is used to analyze recently measured reaction cross sections with neutron-deficient Ga, Ge, As, Se, and Br isotopes as low-energy projectiles incident on 28 Si target. The required input, namely the neutron and proton density distributions of the relevant projectiles and the target, are calculated in the relativistic mean-field framework. Though the calculations qualitatively agree with the experiment, on the average, slightly overestimate the cross sections. A phenomenological expression with a single parameter is proposed that consistently improves the agreement with the experiment.

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Section: Rmf Calculation: Results and Discussion Of Ground State mentioning

confidence: 57%

Recently measured reaction cross sections with low energy fp-shell nuclei as projectiles: Microscopic description

Bhagwat

Gambhir²

2006

Phys. Rev. C

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“…We now present the calculated charge radii for the parent nuclei in Fig. 1 along with the experimental values [27][28][29][30][31]. The calculated r c are found to be in good agreement with the corresponding experimental values.…”

supporting

confidence: 57%

Relativistic mean field description of cluster radioactivity

Bhagwat

Gambhir

2005

Phys. Rev. C

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Comprehensive investigations of the observed cluster radioactivity are carried out. First, the relativistic mean field (RMF) theory is employed for the calculations of the ground-state properties of relevant nuclei. The calculations reproduce the experiment well. The calculated RMF point densities are folded with the densitydependent M3Y nucleon-nucleon interaction to obtain the cluster-daughter interaction potential. This, along with the calculated and experimental Q values, is used in the WKB approximation for estimating the half-lives of the parent nuclei against cluster decay. The calculations qualitatively agree with the experiment. The discovery of the spontaneous emission of clusters heavier than α from very heavy nuclei is one of the most exciting findings in nuclear physics. The first successful experiment [1] on cluster radioactivity reported the observation of spontaneous emission of 14 C from 223 Ra. This observation substantiated the theoretical prediction of the cluster decays from heavier nuclei by Sandulescu et al. [2]. A number of experimental investigations since then have been reported (e.g., [3][4][5][6]), confirming the first experiment and adding some heavier decay modes. So far, about 30 such decays have been reported [7], and the search for other possible cluster decays is ongoing. However, such measurements are difficult to make because of the very small branching ratio of the cluster decay mode to the α decay mode of the parent nuclei [6,7].On the theoretical front, primarily two kinds of models have been advanced to describe the cluster decay modes: 1) the unified models, which treat the alpha decay, heavy cluster decay, and cold fission on similar footings, and 2) the cluster models. The analytic super asymmetric fission model (ASAFM) [8] and the effective liquid drop model (ELDM) [9] are examples of the former, whereas the 'square well' approach of Price et al.[4], the Buck-Merchant model [10], and the preformed cluster model [11] belong to the latter category. In addition, the R-matrix theory for the calculation of decay widths using the required input information obtained from the shell model/cluster model + BCS framework has been employed with reasonable success [12].Here, we present a comprehensive theoretical investigation of all the observed cluster (heavier than α) decay modes. First, we calculate the cluster-daughter interaction potential (nuclear) using the well-tested double-folding procedure [13,14]. This, along with the cluster-daughter Coulomb potential and the Q values, is used to obtain the decay half-lives in the WKB approximation.Explicit calculations are carried out in three steps. The ground-state properties are calculated first within the framework of the relativistic mean field (RMF) model [15][16][17]. * E-mail address: yogy@phy.iitb.ac.inThe required cluster-daughter potential is calculated next using the double-folding procedure [13,14]. Here, the densitydependent M3Y nucleon-nucleon interaction potential is folded with the calculated (RMF) daughter and cluste...

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“…10 we compare the calculated charge radii with data from Ref. [58]. The charge density is constructed by folding the calculated (point) proton density distribution with the empirical proton-charge distribution.…”

Section: Deformed Nucleimentioning

confidence: 99%

“…For each "empirical" quantity we include the range of values within which the quantity was allowed to vary during the fit. Table 2 Empirical properties of finite nuclei [57,58] employed in the fitting procedure: binding energies (E b ), charge radii (r ch ) and differences between r.m.s. neutron and proton radii (r n − r p ).…”

Section: The Coefficient D (π)mentioning

confidence: 99%

“…(63) - (67)) are listed in Table 6. [57,58] for the density-dependent point-coupling interaction FKVW with explicit inclusion of ∆(1232) excitations (diamonds) used in the present work, and for the previous version [12] which did not include the ∆(1232) degree of freedom (cirles). [57], and the calculated charge isotope shifts in comparison with data [61], for the chain of even-A P b isotopes.…”

Section: Appendixmentioning

confidence: 99%

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Relativistic nuclear energy density functional constrained by low-energy QCD

et al. 2006

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A relativistic nuclear energy density functional is developed, guided by two important features that establish connections with chiral dynamics and the symmetry breaking pattern of low-energy QCD: a) strong scalar and vector fields related to inmedium changes of QCD vacuum condensates; b) the long-and intermediate-range interactions generated by one-and two-pion exchange, derived from in-medium chiral perturbation theory, with explicit inclusion of ∆(1232) excitations. Applications are presented for binding energies, radii of proton and neutron distributions and other observables over a wide range of spherical and deformed nuclei from 16 O to 210 P o. Isotopic chains of Sn and P b nuclei are studied as test cases for the isospin dependence of the underlying interactions. The results are at the same level of quantitative comparison with data as the best phenomenological relativistic mean-field models.

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Systematics of Nuclear Charge Radii

Cited by 157 publications

References 0 publications

Recently measured reaction cross sections with low energy fp-shell nuclei as projectiles: Microscopic description

Recently measured reaction cross sections with low energy fp-shell nuclei as projectiles: Microscopic description

Relativistic mean field description of cluster radioactivity

Relativistic nuclear energy density functional constrained by low-energy QCD

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