Effective liquid drop description for the exotic decay of nuclei

Gonçalves, Marco Antônio; Duarte, S. B.

doi:10.1103/physrevc.48.2409

Cited by 99 publications

(118 citation statements)

References 16 publications

(27 reference statements)

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“…In Refs. [40,41], Gonçalves and Duarte proposed the effective liquid drop model to describe exotic decays. Two kinds of shape parametrization mode and two kinds of inertial coefficient are introduced in this model.…”

Section: Introductionmentioning

confidence: 99%

Investigation of proton radioactivity with the effective liquid drop model

et al. 2015

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Proton radioactivity has been investigated using the effective liquid drop model with varying mass asymmetry shape and effective inertial coefficient. An effective nuclear radius constant formula replaces the old empirical one in the calculations. The theoretical halflives are in good agreement with the available experimental data. All the deviations between the calculated logarithmic half-lives and the experimental values are less than 0.8. The root-mean-square deviation is 0.523. Predictions for the half-lives of proton radioactivity are made for elements across the periodic table. From the theoretical results, there are 11 candidate nuclei for proton radioactivity in the region Z < 51. In the region Z > 83, no nuclei are suggested as probable candidate nuclei for proton radioactivity within the selected range of half-lives studied.

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Section: Introductionmentioning

confidence: 99%

Investigation of proton radioactivity with the effective liquid drop model

et al. 2015

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“…Here, the nuclear radius parameter r 0 is adjusted to reproduce the available experimental data of α decay and cluster emission and the most suited value is found to be 1.37 [17], [18], [22], [23]. The interacting potential V is the effective liquid drop one [22], which is the sum of Coulumb V c and surface V s potentials plus the centrifugal part V l .…”

Section: Theoretical Formalismsmentioning

confidence: 99%

“…The interacting potential V is the effective liquid drop one [22], which is the sum of Coulumb V c and surface V s potentials plus the centrifugal part V l . The expression for V c developed by Gaudin [24] is given as:…”

Section: Theoretical Formalismsmentioning

confidence: 99%

“…Here the shell effects reduce the Q value and hence enhance the height of the barrier V-Q, which causes a decrease in penetrability and a longer half-life. To determine the inertia coefficient µ , the Werner-Wheeler approximation [22] is made use of. To be consistent with the uniform charge distribution considered in the Coulomb potential, the final radii of fragments should be [18]:…”

Section: Theoretical Formalismsmentioning

confidence: 99%

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A fission model approach to alpha decay and cluster radioactivity of Dy, Er and Yb isotopes

Girija¹

2013

Turk J Phys

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Rare earth nuclei are probable candidates for exhibiting cluster radioactivity. In the present work, a theoretical study of α decay and heavy cluster emission from Dy, Er, and Yb nuclei in the mass range 150 < A < 190 has been carried out in a fission model approach. Some of the proton-rich isotopes of these nuclei are found to have long half-lives, but within the measurable range. Many of the neutron-rich isotopes under consideration are far from β stability and the most probable light clusters predicted are highly exotic in nature and the corresponding half-lives are extremely short.However, the decays of most probable heavy clusters predicted have half-lives in the measurable range. The calculations on neutron-rich isotopes indicate the emergence of new magic numbers for protons and neutrons. The centrifugal barrier effect on decay rate of some proton-rich Er isotopes is also investigated.

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“…The traditional methods [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]such as the WKB approximation, and empirical formulas [23][24][25][26] are constantly evolving. Among these methods the microscopic * Corresponding author:lixiaohuaphysics@126.com double-folding model adopting density dependent M3Y force and the liquid drop model adopting the proximity potential have been researched frequently.…”

Section: Introductionmentioning

confidence: 99%

Systematic study ofαdecay half-lives for even-even nuclei within a two-potential approach

Sun

Guo

2016

Phys. Rev. C

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α decay is a common and important process for natural radioactivity of heavy and superheavy nuclei. The α decay half-lives for even-even nuclei from Z=62 to Z=118 are systematically researched based on the two-potential approach with a quasi-stationary state approximation. To describe the deviations between experimental half-lives and calculated results due to the nuclear shell structure, a hindrance factor related with α particle preformation probability is introduced. Our results can well reproduce the experimental data equally to the density-dependent cluster model and the generalized liquid drop model. We also study the isospin effect of nuclear potential in this work. Considering the isospin effect the calculated results improved about 7.3%.

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Effective liquid drop description for the exotic decay of nuclei

Cited by 99 publications

References 16 publications

Investigation of proton radioactivity with the effective liquid drop model

Investigation of proton radioactivity with the effective liquid drop model

A fission model approach to alpha decay and cluster radioactivity of Dy, Er and Yb isotopes

Systematic study ofαdecay half-lives for even-even nuclei within a two-potential approach

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