Bayesian and Monte Carlo approaches to estimating uncertainty for the measurement of the bound-state β- decay of 205Tl81+

[1]
R. Daudel, M. Jean, and M. J. Lecoin, Phys. Rad. 8, 238 (1947)
[2]
J. N. Bahcall, Phys. Rev. 124, 495 (1961)
[3]
K. Takahashi et al., Phys. Rev. C 36, 1522 (1987)
[4]
M. Jung et al., Phys. Rev. Lett. 69, 2164 (1992)
[5]
F. Bosch et al., Phys. Rev. Lett. 77, 5190 (1996)
[6]
T. Ohtsubo et al., Phys. Rev. Lett. 95, 052501 (2005)
[7]
J. Kurcewicz et al., Acta Phys. Polon. B 41, 525 (2008)
[8]
Y. A. Litvinov and F. Bosch, Rep. Prog. Phys. 74, 016301 (2011)
[9]
F. Bosch, Y. A. Litvinov, and T. Stöhlker, Prog. Part. Nucl. Phys. 73, 84 (2013)
[10]
M. Steck and Y. A. Litvinov, Prog. Part. Nucl. Phys. 115, 103811 (2020)
[11]
G. Leckenby et al., Nature 634, 321 (2024)
[12]
R. S. Sidhu et al., Phys. Rev. Lett. 133, 232701 (2024)
[13]
M. K. Pavićević et al., Nucl. Instr. Meth. A 895, 62 (2018)
[14]
K. Takahashi and K. Yokoi, At. Data Nucl. Data Tables 36, 375 (1987)
[15]
K. Ogawa and K. Arita, Nucl. Instrum. Methods Phys. Res. Sect. A 271, 280 (1988)
[16]
E. K. Warburton, Phys. Rev. C 44, 233 (1991)
[17]
Y. Xiao and L. J. Wang, Phys. Rev. C 110, 054308 (2024)
[18]
G. Leckenby, Exotic decay measurements at the Experimental Storage Ring for neutron capture processes, PhD thesis (University of British Columbia, 2025) https://open.library.ubc.ca/soa/cIRcle/collections/ubctheses/24/items/1.0447637
[19]
R. S. Sidhu, Measurement of the bound-state beta decay of bare 205Tl81+ ions at the ESR, PhD thesis (Heidelberg University, 2021) https://www.ub.uni-heidelberg.de/archiv/30275
[20]
H. Geissel et al., Nucl. Instrum. Methods Phys. Res. Sect. B 70, 286 (1992)
[21]
F. Nolden et al., Nucl. Instr. Meth. A 659, 69 (2011)
[22]
M. S. Sanjari et al., Phys. Scripta T156, 014088 (2013)
[23]
R. J. Chen et al. Eur. Phys. J. A, in press (2025)
[24]
G. Leckenby et al, Measurement of the bound-state beta decay of 205Tl(81+): intermediate and result data (Zenodo, 2024) https://zenodo.org/records/11556665
[25]
G. Leckenby et al, Measurement of the bound-state beta decay of 205Tl(81+): analysis scripts and figures (Zenodo, 2024) https://zenodo.org/records/11560338
[26]
BIPM, IEC, IFCC, ILAC, ISO, IUPAC, IUPAP and OIML. Evaluation of Measurement Data — Supplement 1 to the “Guide to the expression of uncertainty in measurement” — Propagation of distributions using a Monte Carlo method. Technical Report JCGM 101: 2008, International Bureau of Weights and Measures (BIPM, 2008)
[27]
A. Possolo and H. K. Iyer, Rev. Sci. Instrum. 88, 011301 (2017)
[28]
M. G. Cox and B. R. L. Siebert, Metrologia S178, 43 (2006)
[29]
R. T. Birge, Phys. Rev. 40, 207 (1932)
[30]
M. Trassinelli and M. A. Maxton, arXiv: 2406.08293
[31]
W. von der Linden, V. Dose, and U. von Toussaint, Bayesian Probability Theory: Applications in the Physical Sciences (Cambridge University Press, 2014)
[32]
P. Rousseeuw and A. Leroy, Robust Regression and Outlier Detection (Wiley, 2005)
[33]
J. Skilling, AIP Conf. Proc. 735, 395 (2004)
[34]
G. Ashton et al., Nat. Rev. Methods Primers 2, 39 (2022)
[35]
M. Trassinelli, Nucl. Instrum. Methods B 408, 301 (2017)
[36]
M. Trassinelli, Proceedings 33, 14 (2019)
[37]
L. Maillard, F. Finocchi, and M. Trassinelli, Entropy 25, 347 (2023)
[38]
D. S. Sivia and J. Skilling, Data analysis: a Bayesian tutorial (Oxford University Press, 2006)
[39]
R. M. Neal, Ann. Statist. 31, 705 (2003)