2020
DOI: 10.1103/physrevresearch.2.013291
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Characterizing quasibound states and scattering resonances

Abstract: Characterizing quasibound states from coupled-channel scattering calculations can be a laborious task, involving extensive manual iteration and fitting. We present an automated procedure that reliably converges on a quasibound state (or scattering resonance) from some distance away. It may be used for both single-channel and multichannel scattering. It produces the energy and width of the state and the phase (or S-matrix eigenphase sum) of the background scattering, and hence the lifetime of the state. It also… Show more

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Cited by 9 publications
(6 citation statements)
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References 30 publications
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“…For the case of λ scl = 1.0012, the state crosses threshold and causes a zero-energy Feshbach resonance near B = 13 G. At fields just below this, there are clear Breit-Wigner signatures in the calculated eigenphase sum below threshold. We have characterized these as described in the Supplemental Material [43] between 9 and 10 G, using the method of Frye and Hutson [44]. We obtain an energy gradient μ ≈ −0.5 MHz/G and energy widths close to threshold, inel E ≈ 0.06 MHz.…”
Section: Resonances At Rb( 2 S) + Yb( 3 P 2 ) Thresholdsmentioning
confidence: 99%
“…For the case of λ scl = 1.0012, the state crosses threshold and causes a zero-energy Feshbach resonance near B = 13 G. At fields just below this, there are clear Breit-Wigner signatures in the calculated eigenphase sum below threshold. We have characterized these as described in the Supplemental Material [43] between 9 and 10 G, using the method of Frye and Hutson [44]. We obtain an energy gradient μ ≈ −0.5 MHz/G and energy widths close to threshold, inel E ≈ 0.06 MHz.…”
Section: Resonances At Rb( 2 S) + Yb( 3 P 2 ) Thresholdsmentioning
confidence: 99%
“…IV), 1 4 |1 − S bb,bb | 2 = sin 2 δ bb . Just above threshold, the M L = 0 bound state and the two degenerate M L = ±1 states emerge as quasi-bound levels that act as isolated normal p-wave resonances with well-defined positions and widths, which we calculate using the algorithm in the molscat package [69,70,79].…”
Section: B Near-threshold Molecular Physicsmentioning
confidence: 99%
“…We characterize all the Feshbach resonances that exist below 500 G for each interaction potential, using the method of Frye and Hutson [79,80]. There are typically 50 resonances for each potential, and we obtain values of B res , Δ, and a bg for each resonance.…”
Section: Feshbach Resonances and Bound Statesmentioning
confidence: 99%