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Causality and universality in low-energy quantum scattering

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arxiv 0907.1763 v2 pith:5YIG3T4L submitted 2009-07-10 nucl-th cond-mat.quant-gasphysics.atom-ph

H.-W. Hammer , Dean Lee This is my paper · ORCID
classification nucl-thcond-mat.quant-gasphysics.atom-ph
keywords arbitrarycausalitylow-energyquantumscatteringuniversalityangularbethe
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We generalize Wigner's causality bounds and Bethe's integral formula for the effective range to arbitrary dimension and arbitrary angular momentum. Moreover, we discuss the impact of these constraints on the separation of low- and high-momentum scales and universality in low-energy quantum scattering.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Universal Properties of Near-Threshold Single-Neutron Resonances

    nucl-th 2026-07 conditional novelty 6.0 of 10

    Near-threshold p- and d-wave neutron resonance widths are predicted by a square-well baseline that depends only on channel radius, angular momentum, and energy.

  2. Finite-range EFT for the $E1$ strength distribution of ${}^6$He

    nucl-th 2026-06 unverdicted novelty 6.0 of 10

    Finite-range Halo EFT with separable interactions computes the E1 strength distribution of ⁶He at NLO and rms charge radius 2.00 ± 0.09 fm, both agreeing with data within theory errors.

  3. Short-distance production of three particles with large scattering length

    nucl-th 2026-01 conditional novelty 6.0 of 10

    Short-distance production of three neutrons in pionless EFT is dominated by the P-wave and shows no resonance-like structure; three bosons show Efimov-resonance peaks, and effective-range corrections are small.

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