Theoretical Analysis Supports Darmstadt Oscillations Crucial Roles of Wave Function Collapse and Dicke Superradiance

Details Theoretical Analysis Supports Darmstadt Oscillations Crucial Roles of Wave Function Collapse and Dicke Superradiance Theoretical Analysis Supports Darmstadt Oscillations Crucial Roles of Wave Function Collapse and Dicke Superradiance

2009-10-27

arxiv.org/abs/0910.5049v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, no figures, introduction and abstract revised for clarification

Scientific paper

Darmstadt $\nu$ oscillations in decay of radioactive ion can only come from initial state wave function. Causality forbids any influence on transition probability by detection of $\nu$ or final state interference after decay. Energy-time uncertainty allows two initial state components with different energies to decay into combination of two orthogonal states with same energy, different momenta and different $\nu$ masses. Final amplitudes completely separated at long times have broadened energy spectra overlapping at short times. Their interference produces oscillations between Dicke superradiant and subradiant states having different transition probabilities. Repeated monitoring by interactions with laboratory environment at regular time intervals and same space point in laboratory collapses wave function and destroys entanglement. First-order time dependent perturbation theory gives probability for initial state decay during small interval between two monitoring events. Experiment measures momentum difference between two contributing coherent initial states and obtains information about $\nu$ masses without detecting $\nu$. Simple model relates observed oscillation to squared $\nu$ mass difference and gives value differing by less than factor of three from values calculated from KAMLAND experiment. Monitoring simply expressed in laboratory frame not easily transformed to other frames and missed in Lorentz-covariant descriptions based on relativistic quantum field theory.

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