Effect of deformations on the binding energy of centrally depressed nuclei

Ismail, M.; Ellithi, A. Y.; Adel, A.; Abdulghany, A. R.

doi:10.1088/0954-3899/42/7/075108

Cited by 7 publications

(4 citation statements)

References 36 publications

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“…The application of double-folding potentials for αdecay in a simple α+nucleus two-body model has been described in detail already in [2], and it has been applied and further developed in a series of α-decay studies in the last years (e.g., [17][18][19][20][21][22][23][24][25][26][27]). Here I briefly repeat the essential points.…”

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α -decay properties of 118296 from double-folding potentials

Mohr

2017

Phys. Rev. C

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α-decay properties of the yet unknown nucleus 296 118 are predicted using the systematic behavior of parameters of α-nucleus double-folding potentials. The results are Qα = 11.655 ± 0.095 MeV and T 1/2 = 0.825 ms with an uncertainty of about a factor of 4.PACS numbers: 23.60.+e,27.90.+b,21.60.Gx Very recently, Sobiczewski [1] has analyzed the decay properties of the yet unknown nucleus 296 118 using a combination of Q α values from mass models and a phenomenological formula for the α-decay half-lives. This study was motivated by ongoing experiments which attempt to synthesize this heaviest nucleus to date. The present work uses a completely different approach which is based on the smooth and systematic bahavior of α-decay parameters using double-folding potentials [2].Sobiczewski Cn ("chain-2") where only the two latter α-decays are known from experiment. The selection of the mass formulae leads to a restricted range of Q α for 296 118 from 11.62 MeV (WS3+), 11.73 MeV (WS4+), and 12.06 MeV (HN), and the corresponding α-decay half-lives are 4.8 ms (WS3+), 2.7 ms (WS4+), and 0.50 ms (HN). This range of predictions of almost one order of magnitude for the α-decay half-life of 296 118 does not yet include an additional uncertainty of the phenomenological formula of [3] which is on average a factor of 1.34 for even-even nuclei and does not exceed a factor of 1.78 in most cases [3].In a further study Budaca et al. [9] have applied empirical fitting formulae for the prediction of the decay properties of 296 118. They obtain a slightly lower Q α = 11.45 MeV and half-lives of about 3 ms. A very low value of Q α = 10.185 MeV is derived from mass formulae in [10,11], leading to predicted half-lives up to minutes for 296 118. Half-lives of the order of 1 ms have been obtained in [12] using the WS4+ Q α and various empirical formulae for the half-life, and similar half-lives slightly below 1 ms were found very recently in [13, 14] * Email: WidmaierMohr@t-online.de; mohr@atomki.mta.hu which are also based on Q α from WS4+.For completeness it has to be mentioned that α-decay is the dominant decay mode of 296 118. Partial half-lives of 296 118 for spontaneous fission have been estimated in [1,15]; they exceed the α-decay half-life by several orders of magnitude.Contrary to the study of Sobiczewski and the other recent calculations for 296 118 [9][10][11][12], the present approach does not use mass models for the prediction of the unknown Q α of 296 118 which is the most important quantity for the prediction of its half-life. Instead, the smooth behavior of parameters is used which is obtained in calculations with systematic double-folding potentials [2]. This method is particularly well suited for the present case where the available experimental results for chain-1 and chain-2 have to be extrapolated only to a very close neighbor. For completeness it should be noted that there is another method for an independent determination of Q α from the systematics of Q α differences of neighboring nuclei; unfortunately, the publishe...

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α -decay properties of 118296 from double-folding potentials

Mohr

2017

Phys. Rev. C

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“…Such forms are commonly used in nuclear reaction and nuclear structure studies. For ρ 0 most applications, two-parameter Fermi (2pF) distributions and three-parameter Fermi (3pF) distributions are acceptable approximations for nuclear charge and matter distributions [16][17][18]. The 2pF and 3pF distributions are obtained from equations 1 and 2, respectively; where a is the diffuseness parameter; R is the radius of the nucleus; and w is the central depression parameter.…”

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Investigation of neutron density distribution of ²⁰⁸Pb nucleus when the proton density is constrained to its experimental distribution

Abdulghany¹

2020

Chinese Phys. C

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In this study, two novel improvements for the theoretical calculation of neutron distributions are presented. First, the available experimental proton distributions are used as a constraint rather than inferred from the calculation. Second, the recently proposed distribution formula, d3pF, is used for the neutron density, which is more detailed than the usual shapes, for the first time in a nuclear structure calculation. A semi-microscopic approach for binding energy calculation is considered in this study. However, the proposed improvements can be introduced to any other approach. The ground state binding energy and neutron density distribution of 208Pb nucleus are calculated by optimizing the binding energy considering three different distribution formulae. The implementation of the proposed improvements leads to qualitative and quantitative improvements in the calculation of the binding energy and neutron density distribution. The calculated binding energy agrees with the experimental value, and the calculated neutron density exhibits fluctuations within the nuclear interior, which corresponds with the predictions of self-consistent approaches.

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“…The central depression parameter allows the central density to be depressed or raised, depending on the sign of w. The 2pF function is the most widely used analytical formula in the study of nuclear structure, nuclear reactions, alpha decay and cluster decay [6,[8][9][10][11][12][13]. Although the 2pF function gives acceptable results, using the 3pF distribution improves the binding energy calculation, especially for superheavy and ultraheavy regions, as the ground state has a depression in the central density [14]. Moreover, the calculation of alpha decay half-life and preformation probability is very sensitive to the central depression parameter [15].…”

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confidence: 99%

An analytical formula for fluctuations in nuclear charge density

Abdulghany

2018

Chinese Phys. C

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The experimental charge densities of atomic nuclei show fluctuations in their distributions. This paper investigates the limits of accuracy of two-parameter Fermi and three-parameter Fermi distributions in describing the charge density. An improved analytical function for density distribution is proposed, which allows for density fluctuation. The experimental charge densities of 40 Ca, 60 Ni, 100 Mo, 152 Sm and 208 Pb, representing the various shapes of density fluctuation, are used to assess the accuracy of the proposed formula. The proposed function reproduces the experimental charge densities with significant improvement in accuracy over other commonly used formulae. A compilation of charge density distribution parameters of 73 nuclei is presented based on the proposed formula.

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Effect of deformations on the binding energy of centrally depressed nuclei

Cited by 7 publications

References 36 publications

α -decay properties of 118296 from double-folding potentials

α -decay properties of 118296 from double-folding potentials

Investigation of neutron density distribution of ²⁰⁸Pb nucleus when the proton density is constrained to its experimental distribution

An analytical formula for fluctuations in nuclear charge density

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Effect of deformations on the binding energy of centrally depressed nuclei

Cited by 7 publications

References 36 publications

α -decay properties of 118296 from double-folding potentials

α -decay properties of 118296 from double-folding potentials

Investigation of neutron density distribution of 208Pb nucleus when the proton density is constrained to its experimental distribution

An analytical formula for fluctuations in nuclear charge density

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Investigation of neutron density distribution of ²⁰⁸Pb nucleus when the proton density is constrained to its experimental distribution