Nuclear shapes and interaction potentials of two colliding208Pb nuclei at finite temperature

Faessler, Amand; Rashdan, M.; Ismail, M.; Ohtsuka, N.; Wadia, W.

doi:10.1007/bf01565146

Cited by 4 publications

(6 citation statements)

References 15 publications

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“…( 16) are the deciding system of equations in evaluating both the Fermi level λ and the gap parameter ∆. The residual pairing correction energy can be calculated as δE pairing = E pair − Ẽpair where the energy of the pairing corrections, E pair and the pairing correlation energy for the uniform distribution Ẽpair take the following forms [34,38,39]:…”

Section: Residual Pairing Correction Energy Methodologymentioning

confidence: 99%

Islands of stability and quasi-magic numbers for super- and ultra-heavy nuclei

et al. 2016

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In the framework of Strutinsky’s approach, we calculated the shell and the residual pairing correction energies for 5569 even-even nuclei in the range 72 ⩽ Z ⩽ 282 and 96 ⩽ N ⩽ 540. Quasi-magic numbers and deformed islands of stability that reside in a range defined by Green’s formula and the two-neutrons drip line are introduced. We present 36 quasi-magic proton and 53 quasi-magic neutron magic numbers that contribute to the formation of 133 deformed islands of stability along the N-Z space. The quasi-magic proton and neutron magic numbers volatile as the mass number increases and other magic numbers take over. Consequently, the deformed islands of stability fail to exhibit a pattern along the search space covered.

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Section: Residual Pairing Correction Energy Methodologymentioning

confidence: 99%

Islands of stability and quasi-magic numbers for super- and ultra-heavy nuclei

et al. 2016

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“…(12) together with equation(14) one can determine the Fermi level λ and the gap parameter Δ. Now the residual pairing energy correction is defined asE E E pairing pair pair d = -in which E pair is the energy of the pairing corrections that takes the following form[27,51]: ˜is the pairing correlation energy for the uniform distribution[27,51,52] …”

mentioning

confidence: 99%

On magic numbers for super- and ultraheavy systems and hypothetical spherical double-magic nuclei

Ismail

Ellithi

Adel

et al. 2015

J. Phys. G: Nucl. Part. Phys.

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Based on the calculations of the shell and the residual pairing correction energies in the framework of Strutinskyʼs approach, we evaluated the proton and neutron magic numbers in the range 72 Z 282 and 96 N 540. New magic numbers and new islands of stability lie in a range defined by Greenʼs formula and the two-neutrons drip lines are presented. Our calculations reproduced known spherical double-magic nuclei and present evidences on new spherical double-magic nuclei in super-and ultraheavy regions.

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“…The energy level density parameter should also depend on the shell, pairing, and deformation effects. However, all these effects disappear at high excitations, T )3 MeV [2], and a would mainly depend on the model equation of state.…”

Section: Application To Finite Nucleimentioning

confidence: 99%

“…Rp is a length-scale parameter taken to be 1 fm. In a previous work [1,2,24] 5 was taken to be 0.2 for the heavy nuclei. This value is consistent with the present approximation which is more general and directly relates the increase in the neutron radius to the increase in the neutron number of the nucleus.…”

Section: Application To Finite Nucleimentioning

confidence: 99%

Statistical properties and stability of hot nuclei in a semiclassical relativistic approach

Rashdan

1993

Phys. Rev. C

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Within the finite-temperature relativistic mean field theory models (linear and nonlinear) and using the local density approximation, the statistical properties and stability of hot nuclei are investigated. It is found that the nonlinear model presents higher thermal response than the linear model. The critical temperature is found to be about 9 MeV for the linear model and about 8 MeV for the nonlinear one. The value of the energy level density parameter obtained by the nonlinear model is found to be of the order of 0.11 MeV ', in good agreement with the empirical value =0.12 MeV '. The linear model gives smaller values. The nonrelativistic limit of the linear model indicates that the relativistic treatment increases the excitation.PACS number(s): 21.65.+f

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Nuclear shapes and interaction potentials of two colliding208Pb nuclei at finite temperature

Cited by 4 publications

References 15 publications

Islands of stability and quasi-magic numbers for super- and ultra-heavy nuclei

Islands of stability and quasi-magic numbers for super- and ultra-heavy nuclei

On magic numbers for super- and ultraheavy systems and hypothetical spherical double-magic nuclei

Statistical properties and stability of hot nuclei in a semiclassical relativistic approach

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