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Do we understand Quantum Decay? Vladimir Zelevinsky NSCL/ Michigan State University

Do we understand Quantum Decay? Vladimir Zelevinsky NSCL/ Michigan State University FUSTIPEN, Caen May 28, 2014. Quantum Decay: exponential versus non-exponential * [Kubo] - exponential decay corresponds to the condition for

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Do we understand Quantum Decay? Vladimir Zelevinsky NSCL/ Michigan State University

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  1. Do we understand Quantum Decay? Vladimir Zelevinsky NSCL/ Michigan State University FUSTIPEN, Caen May 28, 2014

  2. Quantum Decay: exponential versus non-exponential * [Kubo] - exponential decay corresponds to the condition for a physical process to be approximated as a Markovian process * [Silverman] - indeed a random process, no “cosmic force” * [Merzbacher] - result of “delicate” approximations Three stages: short-time main (exponential)Oscillations? long-time

  3. Remote power-law Initial state “memory” time • There are “free” slow-moving non-resonant particles, they escape slowly Why and when decay cannot be exponential Internal motion in quasi-bound state Example 14C decay: E0=0.157 MeV t2=10-21 s • =73

  4. Time dependence of decay, Winter’s model Winter, Phys. Rev., 123,1503 1961.

  5. Winter’s model: Dynamics at remote times • resonance • background

  6. Probability distribution Scattering cross section off a single resonance near threshold and survival probability Radiating state and parameters of the time dependence of its wave function

  7. Internal dynamics in decaying system Winter’s model t2 t1

  8. Is it possible to have oscillatory decay? • Decay oscillations are possible • Kinetic energy - mass eigenstates • Interaction (barrier)- flavor eigenstates • Fast and slow decaying modes • Current • oscillations • Survival probability • [1] A Volya, M. Peshkin, and V. Zelevinsky, work in progress

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