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Corpus ID: 119240545

Finite-size corrections to Fermi's Golden rule II: Quasi-stationary composite states

@article{Ishikawa2016FinitesizeCT,
title={Finite-size corrections to Fermi's Golden rule II: Quasi-stationary composite states},
author={Kenzo Ishikawa and Yutaka Tobita},
journal={arXiv: High Energy Physics - Phenomenology},
year={2016}
}

Many-body states described by a Schr\"{o}dinger equation include states of overlapping waves of non-vanishing interaction energies. These peculiar states formed in many-body transitions remain in asymptotic regions, and lead a new component to the transition probability. The probability is computed rigorously following the von Neumann's fundamental principle of quantum mechanics with an S-matrix that is defined with normalized functions, instead of plane waves. That includes the intriguing… Expand

We derive the Fermi's golden rule in the Gaussian wave-packet formalism of quantum field theory, proposed by Ishikawa, Shimomura, and Tobita, for the particle decay within a finite time interval. We… Expand

In a transition amplitude of wave-packets, e.g., that of the Φ → φφ decay process, there are in and out time boundaries for the initial Φ and ﬁnal φφ conﬁgurations, respectively, when the transition… Expand

We compute an $s$-channel $2\to2$ scalar scattering $\phi\phi\to\Phi\to\phi\phi$ in the Gaussian wave-packet formalism at the tree-level. We find that wave-packet effects, including shifts of the… Expand