Survival probability of a single resonance

Autor:	Roberto Romo, Verónica Riquer, Gastón García-Calderón
Rok vydání:	2001
Předmět:	Nuclear magnetic resonance Survival probability General Physics and Astronomy Resonance Interval (graph theory) Statistical and Nonlinear Physics Constant (mathematics) Mathematical Physics Mathematics Mathematical physics
Zdroj:	Journal of Physics A: Mathematical and General. 34:4155-4165
ISSN:	1361-6447 0305-4470
DOI:	10.1088/0305-4470/34/19/313
Popis:	An exact single-level resonance formula for the survival probability S(t) in the full time interval, that depends only on the resonance energy r and the decay width ?r and fulfils time-reversal invariance, is used to discuss the non-exponential contributions to decay. At short times the formula behaves as S(t)?1-ct1/2 with c a constant, whereas at long times it behaves as S(t)?dt-3, d being a constant. With the time expressed in lifetime units, the onset of non-exponential decay is given at short times by ?S?4/[?(R2 + R + 1/4)] and at long times by ?L?5.41?ln (R) + 12.25, where R = r?/?r. The predictions of the formula are compared with numerical examples and some experimental results searching for non-exponential contributions to decay.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::87bba28da71b164d8e617ff552bd948d https://doi.org/10.1088/0305-4470/34/19/313 Zobrazit plný text záznamu