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@MISC{Leckenby:353553,
      author       = {Leckenby, Guy and Sidhu, Ragandeep Singh and Chen, Rui Jiu
                      and Szányi, Balázs and Dillmann, Iris and Gernhäuser,
                      Roman and Glorius, Jan and Griffin, Chris and Litvinov, Yuri
                      A. and Lugaro, Maria and Sanjari, Shahab and Yagüe Lopéz,
                      Andrés},
      title        = {{M}easurement of the bound-state beta decay of
                      205{T}l(81+): analysis scripts and figures; 1.0},
      reportid     = {GSI-2024-00936},
      year         = {2024},
      note         = {GNU General Public License v3.0 or later},
      abstract     = {The scripts presented here are Monte Carlo half-life
                      analysis for the measurement of the bound-state beta decay
                      of 205Tl(81+), experiment G-20-0E121, that was performed at
                      the Experimental Storage Ring (ESR) at the GSI
                      Helmholtzzentrum für Schwerionenforschung, Darmstadt
                      (Germany) in the frame of FAIR Phase-0. The experimental
                      measurement was done from the 26th March 2020 to 6th April
                      2020, whilst the analysis was developed over the course of
                      2020--2023. In addition, scripts for creating the figures
                      for application to 205Pb in the early Solar System, namely
                      the publication Leckenby et al. (2024) Nature... are also
                      provided. The data used by these scripts is provided in the
                      data release: DOI 10.5281/zenodo.11556665. Monte Carlo
                      Half-life AnalysisThe Monte Carlo half-life analysis is
                      provided in the Mathematica notebook
                      $'final_halflife_MC-s6_clsd.nb'$ (a static PDF copy is
                      provided for those without access to a Mathematica kernel).
                      This notebook requires the input data file
                      $'BSBD_205Tl-finals_vals.txt'$ from the data release and a
                      supplementary input file $'SC_MC_vals.txt'$ provided here,
                      both of which should be in the same directory as the
                      notebook. The supplementary input file $'SC_MC_vals.txt'$
                      contains Monte Carlo sampled values for the Saturation
                      Correction parameter, which was not automated due to
                      formatting complexities. The notebook contains 4 sections:1.
                      Monte Carlo Error Analysis - this section runs the main
                      Monte Carlo analysis and produces an N-dimensional array of
                      best fit parameters for both λβb and R0.2. Analyse Results
                      - this section produces helpful plots and does the half-life
                      calculation correctly.3. Missing Exp Uncertainty - this
                      section estiamtes the contamination variation from the
                      observed missing stochastic uncertainty in the chi
                      squared.4. Uncertainty Components - this section records the
                      results of MC runs that isolated specific sources of
                      uncertainties and evaluates the fractional contribution to
                      the final uncertainty. 205Pb in the early Solar System
                      FiguresThe code used to create the figures for the
                      publication Leckenby et al. (2024) Nature... are provided in
                      the Mathematica notebook $`isolation_time_figures.nb'$
                      (again, a static PDF copy is provided). This notebook
                      requires the input files
                      $`mcHist-box_1e8_1e10-gamma_X-tau_Y.dat'$ files, which are
                      found in the $`SLR_abund_MC_hists.tar.gz'$ repository. These
                      files encode the Monte Carlo results described in Côté et
                      al. (2019) ApJ 887(2):213 to simulate the stochastic
                      variation of the radioactive abundance in the interstellar
                      medium. Kernel densities are used to describe Monte Carlo
                      distributions to create smooth probability distribution
                      functions.},
      cin          = {ATP},
      cid          = {I:(DE-Ds200)ATP-20051214OR020},
      pnm          = {631 - Matter – Dynamics, Mechanisms and Control
                      (POF4-631) / ASTRUm - Astrophysics with Stored Highy Charged
                      Radionuclides (682841) / DFG project G:(GEPRIS)390783311 -
                      EXC 2094: ORIGINS: Vom Ursprung des Universums bis zu den
                      ersten Bausteinen des Lebens (390783311)},
      pid          = {G:(DE-HGF)POF4-631 / G:(EU-Grant)682841 /
                      G:(GEPRIS)390783311},
      experiment   = {EXP:(DE-Ds200)E121-20200803},
      typ          = {PUB:(DE-HGF)33},
      doi          = {10.5281/ZENODO.11560338},
      url          = {https://repository.gsi.de/record/353553},
}