Crystal Ball function
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The Crystal Ball function is a probability density function commonly used to model various lossy processes in high-energy physics. It consists of a Gaussian core portion and an exponential low-end tail, below a certain threshold. The function itself and its first derivative are both continuous.
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J. E. Gaiser, Charmonium Spectroscopy from Radiative Decays of the J/Psi and Psi-Prime, Ph.D. Thesis, SLAC-R-255, Appendix-F (1982).