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The vertex constant for the virtual decay of a nucleus into two charged particles within the effective range theory

V. EremenkoSkobel’tsyn Research Institute of Nuclear Physics, Moscow State University, Moscow, 119992, RussiaЛ. И. НикитинаSkobel’tsyn Research Institute of Nuclear Physics, Moscow State University, Moscow, 119992, RussiaYu. V. OrlovSkobel’tsyn Research Institute of Nuclear Physics, Moscow State University, Moscow, 119992, Russia
2007en
ABI

Аннотация

Explicit expressions for the virtual a → b + c decay vertex constant (or the asymptotic normalization factor) for charged particles b and c are obtained for the first time using the effective range function K(k 2) for the standard effective range expansion and for the case where K(k 2) has a pole. The bound and resonant states of the 2He nucleus and the resonant states of the 2He and 8Be nuclei are considered as physical examples. A trajectory in the complex momentum plane is constructed for the transition from the resonant state to the virtual state while the Coulomb interaction gradually decreases.

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