Critical electron state in heavy-ion collisions

Lisin, V. I.; Marinov, M. S.; Попов, В. С.

doi:10.1016/0370-2693(80)90652-8

Cited by 22 publications

(30 citation statements)

References 10 publications

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“…As to the extendednucleus case, we can systematically compare our results only with the data obtained in Ref. [18]. The discrepancy between our data and those from Ref.…”

Section: Resultscontrasting

confidence: 75%

“…While our results for b are in a good agreement with those from Ref. [18], our values of D are systematically smaller than the ones obtained by an approximate analytical formula in Ref. [18].…”

Section: Resultssupporting

confidence: 59%

“…[18], our values of D are systematically smaller than the ones obtained by an approximate analytical formula in Ref. [18]. Together with the approximations used in the derivation of Eq.…”

Section: Resultsmentioning

confidence: 54%

“…We think this is due to a rather crude analytical estimate of the nuclear size effect in Ref. [18]. Namely, in Ref.…”

Section: Resultsmentioning

confidence: 95%

“…Namely, in Ref. [18] the critical distances for the extended-nucleus case were evaluated by the following approximate formula…”

Section: Resultsmentioning

confidence: 99%

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Relativistic calculations of the ground state energies and the critical distances for one-electron homonuclear quasi-molecules

et al. 2015

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a b s t r a c tThe ground-state energies of one-electron homonuclear quasi-molecules for the nuclear charge number in the range Z ¼ 1 À 100 at the ''chemical'' distances R ¼ 2=Z (in a.u.) are calculated. The calculations are performed for both point-and extended-charge nucleus cases using the Dirac-Fock-Sturm approach with the basis functions constructed from the one-center Dirac-Sturm orbitals. The critical distances R cr , at which the ground-state level reaches the edge of the negative-energy Dirac continuum, are calculated for homonuclear quasi-molecules in the range: 85 6 Z 6 100. It is found that in case of U 183þ 2 the critical distance R cr ¼ 38:42 fm for the point-charge nuclei and R cr ¼ 34:72 fm for extended nuclei.

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“…As to the extendednucleus case, we can systematically compare our results only with the data obtained in Ref. [18]. The discrepancy between our data and those from Ref.…”

Section: Resultscontrasting

confidence: 75%

Section: Resultssupporting

confidence: 59%

“…[18], our values of D are systematically smaller than the ones obtained by an approximate analytical formula in Ref. [18]. Together with the approximations used in the derivation of Eq.…”

Section: Resultsmentioning

confidence: 54%

“…We think this is due to a rather crude analytical estimate of the nuclear size effect in Ref. [18]. Namely, in Ref.…”

Section: Resultsmentioning

confidence: 95%

“…Namely, in Ref. [18] the critical distances for the extended-nucleus case were evaluated by the following approximate formula…”

Section: Resultsmentioning

confidence: 99%

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Relativistic calculations of the ground state energies and the critical distances for one-electron homonuclear quasi-molecules

et al. 2015

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Ground‐state energy of uranium diatomic quasimolecules with one and two electrons

et al. 2019

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Ground-state energies of the one-and two-electron uranium dimers are calculated for internuclear distances in the range = 40-1000 fm and compared with the previous calculations. The generalization of the dual-kinetic-balance approach for axially symmetric systems is employed to solve the two-center Dirac equation without the partial-wave expansion for the potential of two nuclei. The one-electron one-loop QED contributions (self-energy and vacuum polarization) to the ground-state energy are evaluated using the monopole approximation for the two-center potential. Interelectronic interaction of the first and second order is taken into account for the two-electron quasimolecule. Within the QED approach one-photon-exchange contribution is calculated in the two-center potential, while the two-photon-exchange contribution is treated in the monopole approximation.

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Heavy-Ion Atomic Physics—Theoretical

Reinhardt¹,

Greiner²

1985

Treatise on Heavy-Ion Science

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Critical electron state in heavy-ion collisions

Cited by 22 publications

References 10 publications

Relativistic calculations of the ground state energies and the critical distances for one-electron homonuclear quasi-molecules

Relativistic calculations of the ground state energies and the critical distances for one-electron homonuclear quasi-molecules

Ground‐state energy of uranium diatomic quasimolecules with one and two electrons

Heavy-Ion Atomic Physics—Theoretical

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