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

Ismail, M.; Ellithi, A. Y.; Adel, A.; Anwer, Hisham

doi:10.1088/0954-3899/43/1/015101

Cited by 25 publications

(28 citation statements)

References 70 publications

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“…Moreover, the region of dominance of each magic number is reproduced in both of them; see Figures 3 and 4. Similarly, the proton subsystem results are reproduced exactly of same nature using both These results are also in good agreement with those reported by Ismail et al [8]. It remains for us to check that these nuclei indeed have a spherical shape at ground state, which will be investigated in Sec.…”

Section: Spherical Calculationssupporting

confidence: 89%

“…To completely identify a shell closure for the spherical nuclei, there are three conditions that must be satisfied [30] and similar to the approach in Ismail et al [8]:…”

Section: Resultsmentioning

confidence: 99%

“…However, there have been many studies that enriched our knowledge about superheavy nuclei using different models: Mic-Mac [1,2] and the covariant density functional [3][4][5][6][7]. In Ismail et al [8] the framework of Strutinsky's approach is used and the authors cover a wide range of nuclei going into a region with a high number of protons including 72 ≤ Z ≤ 282. Most of these studies focus their attentions on spherical shapes and perform all of the calculations.…”

Section: Introductionmentioning

confidence: 99%

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Search of islands of stability for hypothetical superheavy nuclei using covariant density functional theory

Abusara¹,

Ahmad²

2017

Turk J Phys

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Abstract:A systematic search for the location of islands of stability has been performed for the proton number 100 ≤ Z ≤ 220 and the neutron number Z + 30 ≤ N ≤ 2Z + 30 using covariant density functional theory (CDFT), a relativistic Hartree-Bogoliubov (RHB) formalism with separable pairing, for two different force parameters, DD-ME2 and NL3*. Locations of the islands of stability are identified by analysis of the two-neutron and two-proton separation energy, two-nucleon shell gaps, vanishing neutron and proton pairing gap, energy surface, and the single particle states.The results show that beyond 292 120 only Z = 154 and N > 220 can be a center of a new island of stability.

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Section: Spherical Calculationssupporting

confidence: 89%

“…To completely identify a shell closure for the spherical nuclei, there are three conditions that must be satisfied [30] and similar to the approach in Ismail et al [8]:…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Search of islands of stability for hypothetical superheavy nuclei using covariant density functional theory

Abusara¹,

Ahmad²

2017

Turk J Phys

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“…al., [45] wherein they made an extensive investigation by performing calculations within relativistic continuum Hartree-Bogoliubov theory and established that Z = 120, 132, 138 and N = 172, 184, 198, 228, 238 and 258 might be the possible nucleonic magic numbers. Further, Ismail et.al., [50] have made more exhaustive investigation about to search of nucleonic closed shell within ultra heavy region and predicted a huge number of magic candidates of ultra heavy region. We extend the thought of nuclear magicity towards strangeness sector with more exotic lambda region and try to predict a triple magic multi-Λ system having doubly magic superheavy nucleonic core.…”

Section: Resultsmentioning

confidence: 99%

“…[48,49] where Gogny DIS and DIM interactions was used respectively. Further, Ismail et.al., [50] have also made more exhaustive investigation about to search of nucleonic closed shell within ultra heavy region and predicted a huge number of magic candidates. These predictions have been made on the basis of separation energy, shell gaps, pairing energy and shell correction energy etc.…”

Section: Introductionmentioning

confidence: 99%

A Study of Multi-Λ Hypernuclei Within Spherical Relativistic Mean-Field Approach

et al. 2017

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Abstract. This research article is a follow up of earlier work by M. Ikram et al., reported in International Journal of Modern Physics E 25, 1650103 (2016) wherein we searched for Λ magic numbers in experimentally confirmed doubly magic nucleonic cores in light to heavy mass region (ie.16 O − 208 P b) by injecting Λ's into them. In present manuscript, working within the state-of-art relativistic mean field theory with inclusion of ΛN and ΛΛ interaction in addition to nucleon-meson NL3* effective force, we extend the search of lambda magic numbers in multi-Λ hypernuclei using the predicted doubly magic nucleonic cores 292 120, 304 120, 360 132, 370 132, 336 138, 396 138 of elusive superheavy mass regime. In analogy to well established signatures of magicity in conventional nuclear theory, the prediction of hypernuclear magicity are made on the basis of one-, two-Λ separation energy (SΛ, S2Λ) and two lambda shell gaps (δ2Λ) in multi-Λ hypernuclei. The calculations suggest that the Λ numbers 92, 106, 126, 138, 184, 198, 240, and 258 might be the Λ shell closures after introducing the Λ's in elusive superheavy nucleonic cores. The appearance of new lambda shell closures other than the nucleonic ones predicted by various relativistic and non-relativistic theoretical investigations can be attributed to the relatively weak strength of spin-orbit coupling in hypernuclei compared to normal nuclei. Further, the predictions made in multi-Λ hypernuclei under study resembles quite closely with the magic numbers in conventional nuclear theory suggested by various relativistic and non-relativistic theoretical models. Moreover, in support of Λ shell closure the investigation of Λ pairing energy and effective Λ pairing gap has been made. We noticed a very close agreement of the predicted Λ shell closures with the survey made on the pretext of SΛ, S2Λ and δ2Λ except for the appearance of magic numbers corresponding to Λ = 156 which manifest in Λ effective pairing gap and pairing energy. Also, lambda single-particle spectrum is analyzed to mark the energy shell gap for further strengthening the predictions made on the basis of separation energies and shell gaps. Lambda and nucleon spin-orbit interactions are analyzed to confirm the reduction in magnitude of Λ spin-orbit interaction compared to the nucleonic case, however interaction profile is similar in both the cases. Lambda and nucleon density distributions have been investigated to reveal the impurity effect of Λ hyperons which make the depression of central density of the core of superheavy doubly magic nuclei. Lambda skin structure is also seen.

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Correlation between the behavior of α-decay half-lives and the energy levels of parent nuclei as supply of α nucleons

2021

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

Cited by 25 publications

References 70 publications

Search of islands of stability for hypothetical superheavy nuclei using covariant density functional theory

Search of islands of stability for hypothetical superheavy nuclei using covariant density functional theory

A Study of Multi-Λ Hypernuclei Within Spherical Relativistic Mean-Field Approach

Correlation between the behavior of α-decay half-lives and the energy levels of parent nuclei as supply of α nucleons

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