Pressure shifts and broadenings of Rb Rydberg states by Ne, Kr, and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Thompson, D. C.; Kammermayer, E.; Stoicheff, B. P.; Weinberger, E.

doi:10.1103/physreva.36.2134

Cited by 25 publications

(22 citation statements)

References 43 publications

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“…The curves representing the shift cross sections as functions of n* are shifted to the higher n* by a factor 1.3 n* for np and nd states and by a factor 1.07 n* for nP,/, states in comparison with those for ns and nP,/2 states. This agrees with the experimental results of Thompson et al (1987) and Bontel et a/ (1988). According to equations (15).…”

Section: 'I3supporting

confidence: 92%

Dependence of collisional broadening and shift of Rydberg levels on the angular momentum of the state

Hermann¹,

Kaulakys²,

Lasnitschka³

et al. 1992

J. Phys. B: At. Mol. Opt. Phys.

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A theoretical analysis of the collisional broadening and shift of Rydberg levels: with angular momenta J 1 taking into account the anisotropy of the Rydberg-perlurber potential is presented. The symmetry of the problem is used far the calculation of the collision S matrix in a semiclassical approximation with rectilinear trajenories. The obtained expressions for the broadening and shift cross sections allow an explanation of the observed differences between the broadening and shift of the anisotropic np, nd and IIP,,~ levels in comparison with those for the spherical ns and "PI,, states a L J "~v J v uu ll= 1-(25+1)-' Tr S (b) t Alexander van Humbaldt Foundation Research Fellow 1990/92.

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Section: 'I3supporting

confidence: 92%

Dependence of collisional broadening and shift of Rydberg levels on the angular momentum of the state

Hermann¹,

Kaulakys²,

Lasnitschka³

et al. 1992

J. Phys. B: At. Mol. Opt. Phys.

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“…Rydberg spectroscopy is au seful technique for probingm any of the subtle properties of an atomico rm olecular core, for measuring the Rydberg constant, and probing interactions in the surrounding gaso rp lasma. [5] The form of zero-energy scattering of an s-waveelectron from ap erturber is then given by Equation (1) wherer is the electronic coordinate, measured from the Rydberg core,R is the vector connecting the Rydberg nucleust o the perturber atom nucleus,a nd a s (0) is the zero-energy swave scattering length. The seminalm easurements of Amaldi and Segr [3] confirmed that the classical macroscopic polarization of the dielectric medium wasi nsufficientt od escribe the Rydberg line shifts and that the scattering of Rydberg electrons from the perturber gas atomsw ould have to be accountedf or.T hisl ed Fermi to develop az ero-range scattering theory,n ow called the Fermi pseudopotential (or contact potential) method.…”

Section: Introductionmentioning

confidence: 99%

“…[4] Fermi realized that the low-energy scattering of aR ydberg electron from ap erturberg as atom can be effectively described by as hort-range elastic scattering interaction;t his modelh as had much subsequents uccessi nd etermining lowenergy electron-atom scattering lengths of many other species. [5] The form of zero-energy scattering of an s-waveelectron from ap erturber is then given by Equation (1) wherer is the electronic coordinate, measured from the Rydberg core,R is the vector connecting the Rydberg nucleust o the perturber atom nucleus,a nd a s (0) is the zero-energy swave scattering length. The delta-function contact interaction formalism can be extended to highers catteringa ngular momenta;a na nalytical form for p-wave scattering was derived by Omont, [6] as Equation (2):…”

Section: Introductionmentioning

confidence: 99%

“…Fermi realized that the low‐energy scattering of a Rydberg electron from a perturber gas atom can be effectively described by a short‐range elastic scattering interaction; this model has had much subsequent success in determining low‐energy electron‐atom scattering lengths of many other species . The form of zero‐energy scattering of an s‐wave electron from a perturber is then given by Equation :

true H_{s} (\vec{r}, \vec{R}) = 2 π a_{s} (k) δ^{(3)} (\vec{r} - \vec{R}),

…”

Section: Introductionmentioning

confidence: 99%

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Theory of Ultralong‐Range Rydberg Molecule Formation Incorporating Spin‐Dependent Relativistic Effects: Cs(6s)–Cs(np) as Case Study

et al. 2016

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We calculate vibrational spectra of ultralong-range Cs(32p) Rydberg molecules that form in an ultracold gas of Cs atoms. We account for the partial-wave scattering of the Rydberg electrons from the Cs perturber atoms by including the full set of spin-resolved S and P scattering phase shifts, and allow for the mixing of singlet (S=0) and triplet (S=1) spin states through Rydberg electron spin-orbit and ground state electron hyperfine interactions. Excellent agreement with observed data in Saßmannshausen et al. [Phys. Rev. Lett. 2015, 113, 133201] in line positions and profiles is obtained. We also determine the spin-dependent permanent electric dipole moments for these molecules. This is the first such calculation of ultralong-range Rydberg molecules for which all of the relativistic contributions are accounted.

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“…Fermi realized that the low-energy scattering of a Rydberg electron from a perturber gas atom can be effectively described by a short-range elastic scattering interaction; this model has had much subsequent success in determining low-energy electron-atom scattering lengths of many other species [5]. The form of zero-energy scattering of an s-wave electron from a perturber is then,…”

Section: Introductionmentioning

confidence: 99%

Spin mixing in Cs ultralong-range Rydberg molecules: a case study

Markson¹,

Rittenhouse²,

Schmidt³

et al. 2016

Preprint

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We calculate vibrational spectra of ultralong-range Cs(32p) Rydberg molecules which form in an ultracold gas of Cs atoms. We account for the partial-wave scattering of the Rydberg electrons from the ground Cs perturber atoms by including the full set of spin-resolved 1,3 SJ and 1,3 PJ scattering phase shifts, and allow for the mixing of singlet (S = 0) and triplet (S = 1) spin states through Rydberg electron spin-orbit and ground electron hyperfine interactions. Excellent agreement with observed data in Saßmannshausen et al. [Phys. Rev. Lett. 113, 133201(2015)] in line positions and profiles is obtained. We also determine the spin-dependent permanent electric dipole moments for these molecules. This is the first such calculation of ultralong-range Rydberg molecules in which all of the relativistic contributions are accounted for.

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Pressure shifts and broadenings of Rb Rydberg states by Ne, Kr, andH2

Cited by 25 publications

References 43 publications

Dependence of collisional broadening and shift of Rydberg levels on the angular momentum of the state

Dependence of collisional broadening and shift of Rydberg levels on the angular momentum of the state

Theory of Ultralong‐Range Rydberg Molecule Formation Incorporating Spin‐Dependent Relativistic Effects: Cs(6s)–Cs(np) as Case Study

Spin mixing in Cs ultralong-range Rydberg molecules: a case study

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