New formula for calculating coulomb energies in the liquid-drop model

Курманов, Р. С.; Kosenko, G. I.; Адеев, Г. Д.

doi:10.1134/1.1326978

Cited by 6 publications

(3 citation statements)

References 12 publications

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“…Notice that the integrals have been carried out over nuclear volume, and the lengths have been measured in units of the radius parameter R o of the nucleus with zero deformation. The transformation from six-dimensional to four-dimensional integrals has been accomplished by following the technique developed by Kurmanov et al [24]. The surface term, on the other hand, is simply modified by the ratio of the deformed to the corresponding spherical surface areas.…”

Section: Calculation Of Binding Energiesmentioning

confidence: 99%

Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method. II. Deformed nuclei

et al. 2012

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The binding energies of deformed even-even nuclei have been analyzed within the framework of a recently proposed microscopic-macroscopic model. We have used the semiclassical Wigner-Kirkwoodh expansion up to fourth order, instead of the usual Strutinsky averaging scheme, to compute the shell corrections in a deformed Woods-Saxon potential including the spin-orbit contribution. For a large set of 561 even-even nuclei with Z 8 and N 8, we find an rms deviation from the experiment of 610 keV in binding energies, comparable to the one found for the same set of nuclei using the finite range droplet model of Möller and Nix (656 keV). As applications of our model, we explore its predictive power near the proton and neutron drip lines as well as in the superheavy mass region. Next, we systematically explore the fourth-order Wigner-Kirkwood corrections to the smooth part of the energy. It is found that the ratio of the fourth-order to the second-order corrections behaves in a very regular manner as a function of the asymmetry parameter I = (N − Z)/A. This allows us to absorb the fourth-order corrections into the second-order contributions to the binding energy, which enables us to simplify and speed up the calculation of deformed nuclei.

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Section: Calculation Of Binding Energiesmentioning

confidence: 99%

Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method. II. Deformed nuclei

et al. 2012

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show abstract

“…Notice that the integrals have been carried out over nuclear volume, and the lengths have been measured in units of the radius parameter R o of the nucleus with zero deformation. The transformation from six dimensional to four dimensional integrals has been accomplished by following the technique developed by Kurmanov et al [24]. The surface term, on the other hand, is simply modified by the ratio of deformed to the corresponding spherical surface areas.…”

Section: Calculation Of Binding Energiesmentioning

confidence: 99%

Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method

et al. 2010

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The semiclassical Wigner-Kirkwoodh expansion method is used to calculate shell corrections for spherical and deformed nuclei. The expansion is carried out up to fourth order inh. A systematic study of Wigner-Kirkwood averaged energies is presented as a function of the deformation degrees of freedom. The shell corrections, along with the pairing energies obtained by using the Lipkin-Nogami scheme, are used in the microscopic-macroscopic approach to calculate binding energies. The macroscopic part is obtained from a liquid drop formula with six adjustable parameters. Considering a set of 367 spherical nuclei, the liquid drop parameters are adjusted to reproduce the experimental binding energies, which yields a root mean square (rms) deviation of 630 keV. It is shown that the proposed approach is indeed promising for the prediction of nuclear masses.

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“…def and E (p) def of colliding ions and E def of the combined system are calculated within the macroscopic-microscopic shell-correction approach proposed by Strutinsky [4][5][6]. The interaction potential between the colliding ions consists of Coulomb part V Coul [19] and nuclear V GK -Gross-Kalinowski potential [20] , which was modified [17] in order to describe the interaction of deformed ions. The rotation of the system is also taken into account on the both stages of calculations:…”

Section: The Two-stage Approachmentioning

confidence: 99%

Description of the mass-asymmetric fission of the Pt isotopes, obtained in the reaction $^{36}$Ar + $^{142}$Nd within the two-stage fusion-fission model

Litnevsky,

Ivanyuk,

Kosenko

et al. 2019

Preprint

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The two stages dynamical stochastic model developed earlier for description of fusion-fission reactions is applied to the calculation of mass-and energy-distributions of fission fragments of platinum isotopes in reaction 36 Ar + 142 Nd → 178−x Pt + xn. The first stage of this model is the calculation of the approaching of projectile nucleus to the target nucleus. On the second stage of the model, the evolution of the system formed after the touching of the projectile and target nuclei is considered. The evolution of the system on both stages is described by three-dimensional Langevin equations for the shape parameters of the system. The mutual orientation of the colliding ions and tunneling through the Coulomb barrier in the entrance channel are also taken into account. The potential energy of the system is calculated within the macroscopic-microscopic approach. The calculated mass-energy distributions of fission fragments are compared with the available experimental data. The impact of shell effects, rotation of the system and neutron evaporation on the calculated results is discussed.

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New formula for calculating coulomb energies in the liquid-drop model

Cited by 6 publications

References 12 publications

Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method. II. Deformed nuclei

Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method. II. Deformed nuclei

Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method

Description of the mass-asymmetric fission of the Pt isotopes, obtained in the reaction $^{36}$Ar + $^{142}$Nd within the two-stage fusion-fission model

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