bateman equation
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2021 ◽  
Vol 57 (4) ◽  
Author(s):  
J. Heery ◽  
L. Barber ◽  
J. Vilhena ◽  
B. S. Nara Singh ◽  
R.-D. Herzberg ◽  
...  

AbstractLifetime measurements in $$^{178}$$ 178 Pt with excited states de-exciting through $$\gamma $$ γ -ray transitions and internal electron conversions have been performed. Ionic charges were selected by the in-flight mass separator MARA and measured at the focal plane in coincidence with the $$4_1^+\rightarrow 2_1^+$$ 4 1 + → 2 1 + $$257\,$$ 257 keV $$\gamma $$ γ -ray transition detected using the JUROGAM 3 spectrometer. The resulting charge-state distributions were analysed using the differential decay curve method (DDCM) framework to obtain a lifetime value of 430(20) ps for the $$2_1^+$$ 2 1 + state. This work builds on a method that combines the charge plunger technique with the DDCM analysis. As an alternative analysis, ions were selected in coincidence with the $$^{178}$$ 178 Pt alpha decay ($$E_{\mathrm {alpha}} = 5.458(5)$$ E alpha = 5.458 ( 5 ) MeV) at the focal plane. Lifetime information was obtained by fitting a two-state Bateman equation to the decay curve with the lifetime of individual states defined by a single quadrupole moment. This yielded a lifetime value of 430(50) ps for the $$2_1^+$$ 2 1 + state, and 54(6) ps for the $$4_1^+$$ 4 1 + state. An analysis method based around the Bateman equation will become especially important when using the charge plunger method for the cases where utilising coincidences between prompt $$\gamma $$ γ rays and recoils is not feasible.


2006 ◽  
Vol 37 (4) ◽  
pp. 326
Author(s):  
Raymond N. Greenwell ◽  
Eugenio Roanes-Lozano ◽  
Alfonso González-Bermije ◽  
Eugenio Roanes-Macías ◽  
Justo Cabezas

SIAM Review ◽  
2006 ◽  
Vol 48 (1) ◽  
pp. 133-146 ◽  
Author(s):  
Eugenio Roanes-Lozano ◽  
Alfonso González-Bermejo ◽  
Eugenio Roanes-Macías ◽  
Justo Cabezas

2001 ◽  
Vol 42 (1) ◽  
pp. 453-462 ◽  
Author(s):  
D. B. Fairlie ◽  
A. N. Leznov

1995 ◽  
Vol 207 (3-4) ◽  
pp. 147-152
Author(s):  
J.A Mulvey
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