
These tables consist of critical screening lengths accurate to 30 significant digits for Hulthén, Yukawa/Debye, and Exponential Cosine Screened Coulomb Potentials. Care should be taken to preserve the precision of 30 digits.  The numbers are formatted as plain text.

Each file is for a single potential and angular momentum value indicated in the file names. All of the bound states up to D=10^5 au are listed.  There are 13 files(l=0…12) for each potential, 39 total.  

The first paper (March 5 2016) describing the computational method is in the open access journal Atoms  https://doi.org/10.3390/atoms14030018

A second paper is forthcoming in 2026

If you have a particular interest in extensions of these table in angular momentum, higher precision, or applied to other potentials, feel free to email me. 

This work has received no external funding and is entirely the work of the author.

Grant Bunker
Professor of Physics
Illinois Institute of Technology

bunker@illinoistech.edu