Coupling of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mspace width="0.2em" /><mml:mmultiscripts><mml:mi mathvariant="bold-italic">Σ</mml:mi><mml:none /><mml:mo>+</mml:mo><mml:mprescripts /><mml:none /><mml:mn>1</mml:mn></mml:mmultiscripts></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mspace width="0.2em" /><mml:mmultiscripts><mml:mi mathvariant="bold">Σ</

Pashov, A.; Docenko, O.; Tamanis, M.; Ferber, R.; Knöckel, H.; Tiemann, E.

doi:10.1103/physreva.76.022511

Cited by 115 publications

(111 citation statements)

References 30 publications

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“…Such a theoretical approach has been described in several papers, e.g. [35], so we invite the reader to follow our construction of the theoretical model that is able to reproduce all existing measurements within their reported experimental uncertainty.…”

Section: Theoretical Descriptionmentioning

confidence: 99%

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Potassium ground-state scattering parameters and Born-Oppenheimer potentials from molecular spectroscopy

et al. 2008

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We present precision measurements with MHz uncertainty of the energy gap between asymptotic and well bound levels in the electronic ground state X 1 Σ + g of the 39 K2 molecule. The molecules are prepared in a highly collimated particle beam and are interrogated in a Λ-type excitation scheme of optical transitions to long range levels close to the asymptote of the ground state, using the electronically excited state A 1 Σ + u as intermediate one. The transition frequencies are measured either by comparison with I2 lines or by absolute measurements using a fs-frequency comb. The determined level energies were used together with Feshbach resonances from cold collisions of 39 K and 40 K reported from other authors to fit new ground state potentials. Precise scattering lengths are determined and tests of the validity of the Born-Oppenheimer approximation for the description of cold collisions at this level of precision are performed.

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Section: Theoretical Descriptionmentioning

confidence: 99%

“…[35,36,37], for a pair of atoms A and B with electron and nuclear spin s and i, respectively, can be written in the form:…”

Section: Theoretical Descriptionmentioning

confidence: 99%

Potassium ground-state scattering parameters and Born-Oppenheimer potentials from molecular spectroscopy

et al. 2008

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“…Figure 1 shows a schematic representation of our present work. The excited state potentials are ab initio potentials obtained from [18] and the X and a state potentials correlating with two groundstate atoms are obtained from the experimental work reported in [19].…”

Section: Methodsmentioning

confidence: 99%

Direct photoassociative formation of ultracold KRb molecules in the lowest vibrational levels of the electronic ground state

et al. 2012

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We report continuous direct photoassociative formation of ultracold KRb molecules in the lowest vibrational levels (v ′′ = 0 − 10) of the electronic ground state (X 1 Σ + ), starting from 39 K and 85 Rb atoms in a magneto-optical trap. The process exploits a newfound resonant coupling between the 2(1), v ′ = 165 and 4(1), v ′ = 61 levels, which exhibit an almost equal admixture of the uncoupled eigenstates. The production rate of the X 1 Σ + (v ′′ =0) level is estimated to be 5 × 10 3 molecules/sec.

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“…This approximation becomes less valid for more deeply bound states. We use as input parameters C 6 = 4274E h a 6 0 [22], a S = −111.5a 0 , and a T = −215.6a 0 [23]. Figure 5 shows the spectrum of bound states with respect to the threshold energy for the spin mixture of |f,m f = |9/2, − 9/2 K and |1,1 Rb states.…”

Section: B 40 K-87 Rbmentioning

confidence: 99%

“…We consider s-wave (l = 0) resonances. Although accurate K-Rb scattering potentials are known [23], we choose to use the accumulated phase method as discussed in Sec. II E using only three ABM 042712-6 parameters to demonstrate the accuracy of the ABM for a more complex system like 40 K-87 Rb.…”

Section: B 40 K-87 Rbmentioning

confidence: 99%

Asymptotic-bound-state model for Feshbach resonances

et al. 2010

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We present an asymptotic-bound-state model which can be used to accurately describe all Feshbach resonance positions and widths in a two-body system. With this model we determine the coupled bound states of a particular two-body system. The model is based on analytic properties of the two-body Hamiltonian and on asymptotic properties of uncoupled bound states in the interaction potentials. In its most simple version, the only necessary parameters are the least bound state energies and actual potentials are not used. The complexity of the model can be stepwise increased by introducing threshold effects, multiple vibrational levels, and additional potential parameters. The model is extensively tested on the 6 Li-40 K system and additional calculations on the 40 K-87 Rb system are presented.

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Coupling of theXΣ+1andaΣ

Cited by 115 publications

References 30 publications

Potassium ground-state scattering parameters and Born-Oppenheimer potentials from molecular spectroscopy

Potassium ground-state scattering parameters and Born-Oppenheimer potentials from molecular spectroscopy

Direct photoassociative formation of ultracold KRb molecules in the lowest vibrational levels of the electronic ground state

Asymptotic-bound-state model for Feshbach resonances

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