The Specific Mass Shift of the Ionisation Energy in Ne Calculated by Many-Body Perturbation Theory

Hörbäck, Sven; Pendrill, Ann-Marie; Salomonson, Sten; Österberg, Ulf L.

doi:10.1088/0031-8949/28/4/005

Cited by 9 publications

(8 citation statements)

References 14 publications

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“…In addition to the mass-dependent isotope shift decribed above, a shift in the electron affinity can also arise due to changes δ r 2 35:37 in the nuclear charge distribution, as shown in equation (6). The electronic factor F for the field shift is given by…”

Section: The Field Isotope Shiftmentioning

confidence: 98%

“…In this work, however, we have included only lowest order correlation effects, using direct summation of numerical relativistic basis functions obtained using the methods described by Salomonson andÖster [27]. This method has been applied to SMS calculations for Cs, Tl [7], and Yb + [28] and the generalization to a hole follows that used in the nonrelativistic calculation for the shift of the binding energy of Ne [6]. For scalar operators, like the SMS, the core gives very large contributions (≈ −144 THz u in this case), which, however, cancel between initial and final states.…”

Section: The Specific Mass Shiftmentioning

confidence: 99%

“…The ionization of Ne, studied in earlier work [6], involves the removal of a 2p 3/2 electron. In that case, the DF contribution to the mass shift constant, K SMS , is −9.00 THz u, of which the 1s-2p interaction accounts for −8.24 THz u.…”

Section: The Specific Mass Shiftmentioning

confidence: 99%

“…It seems like the lowest-order correlation effects are overestimated by a similar amount: the experimental value is about halfway between the result with and without lowest-order correlation. For comparison we shown in figure 6 also the experimental [12] and analogous theoretical values [6] for the specific mass shift in the ionization potenital of neon. The calculated specific mass shift for neon is −7 GHz, whereas the experimental value is −11.3 GHz.…”

Section: Comparison Between Theory and Experimentsmentioning

confidence: 99%

See 3 more Smart Citations

Isotope shift in the electron affinity of chlorine

Berzinsh

Gustafsson²,

Hanstorp³

et al. 1995

Phys. Rev. A

188

102

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The specific mass shift in the electron affinity between 35 Cl and 37 Cl has been determined by tunable laser photodetachment spectroscopy to be −0.51(14) GHz. The isotope shift was observed as a difference in the onset of the photodetachment process for the two isotopes. In addition, the electron affinity of Cl was found to be 29 138.59(22) cm −1 , giving a factor of 2 improvement in the accuracy over earlier measurements. Many-body calculations including lowest-order correlation effects demonstrates the sensitivity of the specific mass shift and show that the inclusion of higherorder correlation effects would be necessary for a quantitative description.

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Section: The Field Isotope Shiftmentioning

confidence: 98%

Section: The Specific Mass Shiftmentioning

confidence: 99%

Section: The Specific Mass Shiftmentioning

confidence: 99%

Section: Comparison Between Theory and Experimentsmentioning

confidence: 99%

See 2 more Smart Citations

Isotope shift in the electron affinity of chlorine

Berzinsh

Gustafsson²,

Hanstorp³

et al. 1995

Phys. Rev. A

188

102

View full text Add to dashboard Cite

show abstract

“…Early analyses of the experimental results were based on Hartree-Fock calculations by Bauche [103,104]. Many-body perturbation theory was first applied to the study of isotope shift of Li, K [63], Ne [105], Na [65], He [106] and Ca [107,108].…”

Section: Many-body Effects and Nuclear Charge Distributions In Franciummentioning

confidence: 99%

Atoms through the looking glass – a relativistic challenge

Pendrill¹

2008

Can. J. Phys.

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Abstract:The search for weak-interaction induced atomic parity non-conservation, initiated in the 70s, challenges both theory and experiment. Since the weak interaction is very short-range, the atomic effects increase rapidly with nuclear charge, as ¢ ¡. The focus has thus been on heavy atoms, where relativistic effects are essential, and nuclear size must be taken into account. The generalization of atomic many-body methods to relativistic systems involved both computational and formal difficulties, incorporating methods developed in quantum electrodynamics. Twenty years ago, the ability was emerging to treat atomic pair correlation in a relativistic framework. The application to many-electron systems opened for comparison with many atomic properties, such as isotope shifts, hyperfine structure and hyperfine anomalies, which reflect nuclear properties. In addition, the search for simultaneous violation of both parity and time reversal symmetry involves different types of effects, including nuclear "Schiff moments". Comparison between computed and experimental results for highly charged hydrogen-like systems provides a test of the theoretical and numerical treatment of the electron-nucleus interaction and of the description of nuclear distributions.

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Isotope shifts and energies of the 1s 2p states in helium

Lindroth

Pendrill

1984

Z Physik A

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The specific mass shift (SMS) and energies of the (ls2p) ~,3p states in helium are evaluated using wave functions expressed in terms of radial "pair functions" which are obtained by numerical solution of inhomogeneous two-particle differential equations. The results obtained when including successively higher angular symmetries in the wave function indicate that the SMS converges as lm~ x for the singlet state and between 12~,~ and lm6x for the triplet state. These convergence rates are considerably slower than the l~,Sx and lm] x behaviours found for the singlet and triplet energies. The total energies, E(2~P)=-2.123835 a.u. and E(23P)=-2.133155 a.u., are about 0.00001 a.u. above the "exact" non-relativistic results obtained with perimetric coordinates and also the SMS between 3He and ~He, SMS(21P)=0.4533cm -1 and SMS(23p)---0.6356cm -1, are very close to the "exact" results.

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The Specific Mass Shift of the Ionisation Energy in Ne Calculated by Many-Body Perturbation Theory

Cited by 9 publications

References 14 publications

Isotope shift in the electron affinity of chlorine

Isotope shift in the electron affinity of chlorine

Atoms through the looking glass – a relativistic challenge

Isotope shifts and energies of the 1s 2p states in helium

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