High sensitive photoassociation spectroscopy of the Cs molecular and 1g long-range states below the 6S1/2+6P3/2 limit

Ma, Jie; Wang, Lirong; Zhao, Yanting; Liu, Xiao; Jia, Suotang

doi:10.1016/j.jms.2009.03.003

Cited by 19 publications

(30 citation statements)

References 21 publications

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“…To find an expression for the tail contribution (8) to the quantization function, we need to determine the energydependent outer reflection phase φ out (E) occurring in Eq. (7).…”

Section: A Outer Reflection Phasementioning

confidence: 99%

“…According to (9) and (11) the difference of the actions is, for α = 3, given by Note that this contribution from the outer reflection phase cancels exactly with the contribution of the action integrals to the quantization function (8).…”

Section: Low-energy Expansionmentioning

confidence: 99%

“…The tail contribution to the quantization function is constructed according to (8) with the analytical expression (19) for the outer reflection phase…”

Section: B Explicit Expression For the Quantization Functionmentioning

confidence: 99%

“…In recent works [6][7][8], downward quantum numbersñ = n th − n counting from 0 at the highest-lying state to n th for the ground state are assigned to the observed states. The observed data can be extrapolated to threshold using the quantization function (20).…”

Section: B Extrapolation and Number Of Bound Statesmentioning

confidence: 99%

“…The inverse-cube law (α = 3) can describe the potential of an atom approaching a conducting wall or the interaction potential of two dipoles, which can be responsible for the formation of long-range homonuclear dimers [3]. The ability to make ultracold atomic samples created the possibility of photoassociation spectroscopy [4], which has pioneered the high-precision measurement of high-lying vibrational states essentially for binding potentials between ultracold alkali-metal atoms [5][6][7][8]. A main interest of these measurements is the determination of the value of the strength coefficient C 3 and of the number of bound states above the energy regime that is accessed in a particular experiment.…”

Section: Introductionmentioning

confidence: 99%

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Near-threshold quantization for potentials with inverse-cube tails

Müller

Friedrich

2011

Phys. Rev. A

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For potential wells with long-range attractive tails proportional to −1/r 3 , as occur in the resonant dipole-dipole interaction in homonuclear alkali-metal dimers, we present a highly accurate analytical expression for the tail contribution to the quantization function F (E). This quantization function determines the near-threshold bound-state energies via the quantization rule n th − n = F (E n ). The performance of the quantization function derived in this paper is demonstrated by applying it to a model Lennard-Jones potential and to vibrational bound-state spectra of sodium dimers (Na 2 ). These results are compared with those obtained via the semiclassical LeRoy-Bernstein formula which neglects quantum effects that are important in the near-threshold regime.

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“…To find an expression for the tail contribution (8) to the quantization function, we need to determine the energydependent outer reflection phase φ out (E) occurring in Eq. (7).…”

Section: A Outer Reflection Phasementioning

confidence: 99%

Section: Low-energy Expansionmentioning

confidence: 99%

“…The tail contribution to the quantization function is constructed according to (8) with the analytical expression (19) for the outer reflection phase…”

Section: B Explicit Expression For the Quantization Functionmentioning

confidence: 99%