{'fraction_non_alphanumeric': 0.021834061135371178, 'fraction_numerical': 0.0, 'mean_word_length': 5.557142857142857, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Third-Born-approximation calculation of electron capture.

Calculations of electron-capture cross sections are presented in the symmetrized strong-potential Born approximation for p+H. These calculations are complete through the third Born term. Our amplitudes may be expressed as a finite sum of hypergeometric functions and derivatives of hypergeometric functions. No evidence is found for new observable singular structure due to third Born contributions.