#### A. Neumaier

Science Advisor

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No. Resonances areResonances are indeed states in the continuous-spectrum part of the Hamiltonian. [...]

In QFT it's an internal line in a Feynman diagram (in the case that the corresponding "particles" are described as an elementary field in the Lagrangian). As such it's as "virtual" as any internal line in a Feynman diagram.

**definitely not**internal lines in a Feynmn diagram, since the latter have arbitrary

**real**4-momentum and no associated states, while resonances have

**complex**4-momentum and unnormalized states.

There is no normalizable state directly corresponding to the resonance pole on the second sheet of the S-matrix's analytic continuation. But there are wave packets made from the energy eigenstates with energies in the region thatI just want to understand this better. So if we take a reasonably long lived particle like a free neutron, ultimately it is still a resonance. What's going on during those ~15 minutes? Surely there is a state representing what is occurring in some manner. Or do you mean there is no state directly corresponding to the resonance pole on the second sheet of the S-matrix's analytic continuation.

**approximate**the resonance state. This shows in a modified short time behavior - unlike normalizable states, resonances decay purely exponentially at all times (which is impossible at times before preparation).