Simple new methods for deducing lifetimes in recoil distance Doppler-shift measurements

Petkov, P.; Müller-Gatermann, C.

doi:10.1063/5.0083043

Simple new methods for deducing lifetimes in recoil distance Doppler-shift measurements

Journal Article · Tue Mar 01 00:00:00 EST 2022 · Review of Scientific Instruments

DOI:https://doi.org/10.1063/5.0083043· OSTI ID:1905068

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STIINTA PENTRU TOTI S.R.L., Bucharest (Romania)
Argonne National Lab. (ANL), Lemont, IL (United States)

In this work, new approaches for lifetime determination using data from recoil distance Doppler-shift experiments are presented based on the fundamental properties of the functions describing the time evolution of the population of excited nuclear states. To some extent, one of them represents a contraction of the well-known Differential decay-curve method (DDCM) by using the most reliable data point [the maximum of the $$n_i(t)$$ function describing the population of level $$\textit{i}$$ in time] and a purely numerical procedure avoiding any fitting of decay curves. The combination with the standard DDCM analysis is promising for improving the reliability and the precision of the results for the lifetimes obtained. The novel part of the approach consists of using a chain of equations at the consecutive maxima of the ni(t) functions, which allow us to precisely determine the ratio of the lifetimes of two consecutive levels and, in the case where one of these lifetimes is known, to determine the unknown one. In addition, a simple integral derivation of the lifetime is presented involving the peak areas measured at different distances, and an application of the first moments (expectation values and centroids in time) of the $$n_i(t)$$ functions for determining lifetimes is also demonstrated to be useful.

Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1905068

Journal Information:: Review of Scientific Instruments, Journal Name: Review of Scientific Instruments Journal Issue: 3 Vol. 93; ISSN 0034-6748

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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