Scattering Wave Functions at Bound State Poles

Abstract

The normalisation relation between the bound and scattering S-state wave functions, extrapolated to the bound state pole, is derived from the Schroedinger equation. It is shown that, unlike previous work, the result does not depend on the details of the potential through the corresponding Jost function but is given uniquely in terms of the binding energy. The generalisations to higher partial waves and one-dimensional scattering are given.

15 pages Latex. No graphs

References in corpus (1)

• Triplet np Final State Interactions at Large Momentum Transfers

Cited by in corpus (15)

• The production of eta-mesons in nucleon-nucleon collisions near threshold
• The pion-nucleon scattering lengths from pionic deuterium
• Estimation of the ratio of the pn -> pn pi0 pi0/pn -> d pi0 pi0 cross sections
• Eigenvector continuation for emulating and extrapolating two-body resonances
• Model-independent analysis of the neutron-proton final-state interaction region in the pp -> pn pi^+ reaction
• Strangeness Production Process $pp\to n{K}^{+}{\Sigma }^{+}$ within Resonance Model
• Charged-particle bound states in periodic boxes
• Detailed comparison of the pp -> π^+pn and pp -> π^+d reactions at 951 MeV
• Spin-triplet final-state dominance in the pp -> pn pi+ reaction at 492 MeV
• Complex scaling in finite volume
• Bound and Unbound Wave Functions at Short Distances
• Singlet-to-triplet ratio in the deuteron breakup reaction $pd\to pnp$ at 585 MeV
• Comparison of the pp -> pi+ pn and pp -> pi+ d production rates
• Short-range NN-properties in the processes $pd\to dp$ and $pd\to (pp)n$
• Phenomenological study of the pp -> pi+ pn reaction