Anisotropic interaction potential between a Rydberg electron and an open-shell ion

Clark, William R.; Greene, Chris H.; Miecznik, Gregory

doi:10.1103/physreva.53.2248

Cited by 25 publications

(37 citation statements)

References 25 publications

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“…The two terms proportional to r −6 agree with the results of Clark, Greene, and Miecznik [12]. The other terms are new.…”

supporting

confidence: 85%

“…The effective potential provides a framework for extracting ion properties from measurements of high-L fine-structure patterns. )] 2 .The two terms proportional to r −6 agree with the results of Clark, Greene, and Miecznik [12]. The other terms are new.…”

supporting

confidence: 83%

“…Others are new. Many of the higher-order terms occur in a related treatment of Rydberg electrons bound to anisotropic core ions, treated in a coupled-channel approach by Clark, Greene, and Miecznik [12]. The approach presented here differs from that calculation in several ways.…”

Section: Introductionmentioning

confidence: 99%

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Effective-potential model for high-LRydberg atoms

Woods

Lundeen

2012

Phys. Rev. A

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A description of fine-structure patterns in nonpenetrating high-L Rydberg atoms and ions is derived in a perturbative model in which the energy denominators occurring in the second-order perturbation theory are evaluated using the adiabatic expansion. The patterns of Rydberg energies that result are dominated by the expectation value of an effective potential containing a range of tensor orders and increasing negative powers of the Rydberg electron's radial coordinate. The coefficients of each term in the effective potential are expressed in terms of matrix elements and energies of the free ion at the core of the Rydberg system. Smaller corrections to these patterns due to application of the effective potential in second order and due to relativistic and spin contributions are also described. The effective potential provides a framework for extracting ion properties from measurements of high-L fine-structure patterns. )] 2 .The two terms proportional to r −6 agree with the results of Clark, Greene, and Miecznik [12]. The other terms are new. This completes the list of terms which contribute to E [2] proportional to r −s with s 8, as long as J c < 3. This is sufficient to account for all cases studied experimentally to date. The full effective potential to this point consists of the sum of all the second-order terms listed above plus the two first-order terms from Sec. II A. C. Rydberg intermediate statesThe expression for the second-order perturbation energy derived in Sec. II B excluded the contributions to E [2] from intermediate states where the core was in its ground electronic state. The number of such states depends on the ion in question. For an ion with 042505-8 1 2in which α D,2 (J c ) is given by Eq. (77) and

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“…The two terms proportional to r −6 agree with the results of Clark, Greene, and Miecznik [12]. The other terms are new.…”

supporting

confidence: 85%

supporting

confidence: 83%

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Effective-potential model for high-LRydberg atoms

Woods

Lundeen

2012

Phys. Rev. A

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“…where Z is the core charge, and E [2] is small correction due to the second-order effects of the leading dipole polarization potential ͓11͔. The radial expectation values are assumed to take their hydrogenic values ͓12͔, accounting for both the charge and mass of the core ion.…”

Section: Discussionmentioning

confidence: 99%

Determination of the polarizability of Na-like silicon by study of the fine structure of high-LRydberg states ofSi2+

et al. 2003

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The fine-structure intervals in the nϭ29 state of Si 2ϩ separating levels from Lϭ8 to Lϭ14 have been measured by microwave spectroscopy. A beam of Si 3ϩ ͑Na-like silicon͒ captures a single electron from an n ϭ10 Rydberg target, forming highly excited Rydberg states of Si 2ϩ near nϭ29. Specific L levels within n ϭ29 are selectively detected by excitation with a Doppler-tuned CO 2 laser, followed by Stark ionization. This allows the detection of microwave induced transitions between different L levels in the nϭ29 state, determining the fine-structure intervals. The fine-structure pattern can be used to deduce the dipole polarizability of the Si 3ϩ ion, which forms the core of the Rydberg system. The result ␣ d ϭ7.404(11) is in good agreement with calculations that are comparable in precision.

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“…The derivation of the effective potential having to do with systems of higher J c is discussed in Refs. [1,14]. The most significant terms in such a potential are shown in Eq.…”

Section: A Adiabatic Modelmentioning

confidence: 99%

Properties of Fr-like Th3+from spectroscopy of high-LRydberg levels of Th
Keele
¹
,
Hanni
²
,
Woods
³

et al. 2011
Phys. Rev. A
15
0
29
0
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Binding energies of high-L Rydberg states (L 7) of Th 2+ with n = 27-29 were studied using the resonant excitation Stark ionization spectroscopy (RESIS) method. The core of the Th 2+ Rydberg ion is the Fr-like ion Th 3+ whose ground state is a 5 2 F 5/2 level. The large-core angular momentum results in a complex Rydberg fine-structure pattern consisting of six levels for each value of L that is only partially resolved in the RESIS excitation spectrum. The pattern is further complicated, especially for the relatively-low-L levels, by strong nonadiabatic effects due to the low-lying 6d levels. Analysis of the observed RESIS spectra leads to determination of five properties of the Th 3+ ion: its electric quadrupole moment Q = 0.54(4); its adiabatic scalar and tensor dipole polarizabilities α d ,0 = 15.42(17) and α d ,2 = -3.6(1.3); and the dipole matrix elements connecting the ground 5 2 F 5/2 level to the low-lying 6 2 D 3/2 and 6 2 D 5/2 levels, | 5 2 F 5/2 ||D||6 2 D 3/2 | = 1.435(10) and | 5 2 F 5/2 ||D||6 2 D 5/2 | = 0.414(24). All are in atomic units. These are compared with theoretical calculations.

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Anisotropic interaction potential between a Rydberg electron and an open-shell ion

Cited by 25 publications

References 25 publications

Effective-potential model for high-LRydberg atoms

Effective-potential model for high-LRydberg atoms

Determination of the polarizability of Na-like silicon by study of the fine structure of high-LRydberg states ofSi2+

Properties of Fr-like Th3+from spectroscopy of high-LRydberg levels of Th
Keele
¹
,
Hanni
²
,
Woods
³

et al. 2011
Phys. Rev. A
15
0
29
0
View full text Add to dashboard Cite

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Anisotropic interaction potential between a Rydberg electron and an open-shell ion

Cited by 25 publications

References 25 publications

Effective-potential model for high-LRydberg atoms

Effective-potential model for high-LRydberg atoms

Determination of the polarizability of Na-like silicon by study of the fine structure of high-LRydberg states ofSi2+

Properties of Fr-like Th3+from spectroscopy of high-LRydberg levels of ThKeele1, Hanni2, Woods3 et al. 2011Phys. Rev. A150290View full textAdd to dashboardCite

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Properties of Fr-like Th3+from spectroscopy of high-LRydberg levels of Th
Keele
¹
,
Hanni
²
,
Woods
³

et al. 2011
Phys. Rev. A
15
0
29
0
View full text Add to dashboard Cite