Purely-long-range bound states of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">He</mml:mi><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mi>s</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi /></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi>S</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mi mathvariant="normal">He</mml:mi><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mi>p</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi /></mml:mrow

Venturi, V.; Leo, Paul; Tiesinga, Eite; Williams, Carl J.; Whittingham, Ian B.

doi:10.1103/physreva.68.022706

Cited by 20 publications

(43 citation statements)

References 18 publications

(27 reference statements)

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“…In particular, a perturbative description of the electronic potentials is given, which provides a physical understanding of the formation of these molecules. Then, with a singlechannel adiabatic calculation of the effective molecular potentials we find purely long-range spectra that are in excellent agreement with those computed in [28] by more sophisticated techniques.…”

Section: Introductionsupporting

confidence: 68%

Analysis of photoassociation spectra for giant helium dimers

et al. 2004

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We perform a theoretical analysis to interpret the spectra of purely long-range helium dimers produced by photoassociation (PA) in an ultra-cold gas of metastable helium atoms. The experimental spectrum obtained with the PA laser tuned closed to the 2 3 S1 ↔ 2 3 P0 atomic line has been reported in a previous Letter. Here, we first focus on the corrections to be applied to the measured resonance frequencies in order to infer the molecular binding energies. We then present a calculation of the vibrational spectra for the purely long-range molecular states, using adiabatic potentials obtained from perturbation theory. With retardation effects taken into account, the agreement between experimental and theoretical determinations of the spectrum for the 0 + u purely long-range potential well is very good. The results yield a determination of the lifetime of the 2 3 P atomic state.

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Section: Introductionsupporting

confidence: 68%

Analysis of photoassociation spectra for giant helium dimers

et al. 2004

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“…u potential couples at long-range to the Hund's case (c) states 1 u and 2 u , for which is the interaction is well known [26,15]. The short-range part of this potential has never been considered by experiment or theory.…”

Section: Optical Feshbach Resonancementioning

confidence: 99%

“…For simplicity, the long-range part is represented by a −C 3 /R 3 − C 6 /R 6 potential (with the dispersion coefficients from Ref. [26]), which has a negligible effect on the wavefunction of the state bound by −250 GHz. The inner part of the excitedstate wavefunction thus remains unknown.…”

Section: Optical Feshbach Resonancementioning

confidence: 99%

Prospects for measurement and control of the scattering length of metastable helium using photoassociation techniques

Koelemeij

Leduc

2004

Eur. Phys. J. D

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Abstract. A numerical investigation of two-laser photoassociation (PA) spectroscopy on spin-polarized metastable helium (He*) atoms is presented within the context of experimental observation of the leastbound energy level in the scattering potential and subsequent determination of the s-wave scattering length. Starting out from the model developed by Bohn and Julienne [Phys. Rev. A 60, (1999) 414], PA rate coefficients are obtained as a function of the parameters of the two lasers. The rate coefficients are used to simulate one-and two-laser PA spectra. The results demonstrate the feasibility of a spectroscopic determination of the binding energy of the least-bound level. The simulated spectra may be used as a guideline when designing such an experiment, whereas the model may also be employed for fitting experimentally obtained PA spectra. In addition, the prospects for substantial modification of the He* scattering length by means of optical Feshbach resonances are considered. Several experimental issues relating to the numerical investigation presented here are discussed.

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“…Recently, there has been considerable interest in the study of helium dimers and ultracold helium collisions associated with metastable helium atoms [1,2,3,4,5,6,7,8,9,10,11].…”

mentioning

confidence: 99%

“…In the purely long-range 0 + u potential well (with a minimum internuclear distance reaching 150 bohr) associated with the He(2 3 S 1 )-He(2 3 P 0 ) asymptote, bound states of the helium dimer [1,2,5] can be used in measurements of the s-wave scattering length for collisions of two 4 He(2 3 S 1 ) atoms [4,7]. Molecular lines to the red of the D 2 atomic transition in helium dimers associated with the He(2 3 S)-He(2 3 P 2 ) asymptote are of interest for control of the scattering length using an "optical Feshbach resonance" [4,6].…”

mentioning

confidence: 99%

Long-range interactions between aHe(2S3)atom and a

et al. 2006

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Long-range interactions between a He(2 3 S) atom and a He(2 3 P ) atom for like isotopes AbstractFor the interactions between a He(2 3 S) atom and a He(2 3 P ) atom for like isotopes, we report perturbation theoretic calculations using accurate variational wave functions in Hylleraas coordinates of the coefficients determining the potential energies at large internuclear separations. We evaluate the coefficient C 3 of the first order resonant dipole-dipole energy and the van der Waals coefficients C 6 , C 8 , and C 10 for the second order energies arising from the mutual perturbations of instantaneous electric dipole, quadrupole, and octupole interactions. We also evaluate the coefficient C 9 of the leading contribution to the third order energy. We establish definitive values including treatment of the finite nuclear mass for the 3 He(2 3 S)-3 He(2 3 P ) and 4 He(2 3 S)-4 He(2 3 P ) interactions.

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Purely-long-range bound states ofHe(2s3S)+He(2p

Cited by 20 publications

References 18 publications

Analysis of photoassociation spectra for giant helium dimers

Analysis of photoassociation spectra for giant helium dimers

Prospects for measurement and control of the scattering length of metastable helium using photoassociation techniques

Long-range interactions between aHe(2S3)atom and a

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