Quantum reflection and dwell times of metastable states

Abstract

The concept of phase and dwell times used in tunneling is extended to quantum collisions to derive a relation between the phase and dwell time delays in scattering. This relation can be used to remove the near threshold s-wave singularities in the Wigner-Eisenbud delay times and amounts to an extension of the concept of quantum reflection to strong interactions. Dwell time delay emerges as the quantity which gives the correct behaviour of the density of states of a metastable state at all energies. This fact is demonstrated by investigating some recently found metastable states of mesic-nuclei.

10 pages, 2 figures

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Cited by in corpus (28)

• No classical limit of quantum decay for broad states
• Interaction of eta mesons with nuclei
• Quantum time scales in alpha tunneling
• Search for eta-mesic 4He in the dd->3He n pi0 and dd->3He p pi- reactions with the WASA-at-COSY facility
• Analysis of averaged multichannel delay times
• Constraining the optical potential in the search for eta-mesic 4He
• $\eta$-nucleus interaction from the $d+d$ reaction around the $\eta$ production threshold
• Momentum distribution of N${}^{\ast }$ in nuclei
• Signature of the N=126 shell closure in dwell times of alpha-particle tunneling
• Quantum decay law: Critical times and the Equivalence of approaches
• The time distribution of quantum events
• Qubit residence time measurements with a Bose-Einstein condensate
• Relation between quantum dwell times and flux-flux correlations
• Eta meson rescattering effects in the p + 6Li --> eta + 7Be reaction near threshold
• Weak value of Dwell time for Quantum Dissipative spin-1/2 System
• Search for eta mesic 3He with the WASA-at-COSY facility in the pd-> 3He 2gamma and pd-> 3He 6gamma reactions
• Deuteron properties from muonic atom spectroscopy
• Different manifestations of S-matrix poles
• Time in dissipative tunneling: subtleties and applications
• Experimental determination of the absorption strength in absorbing chaotic cavities
• Tunneling times and bremsstrahlung in alpha decay
• Uncovering anisotropic effects of electric high-moment dipoles on the tunneling current in $\delta$-layer tunnel junctions
• Dwell-time distributions in quantum mechanics
• Interference effects in tunnelling of "cat" wave packet states
• Pairwise final state interactions in the p d --> p d eta reaction near threshold
• Wheeler-DeWitt equation and the late gravitational collapse: effects of factor ordering and the tunneling scenario
• Electron interaction with the environment in tunnel ionization
• Three body dwell time