{'fraction_non_alphanumeric': 0.01867219917012448, 'fraction_numerical': 0.006224066390041493, 'mean_word_length': 4.75, '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}}
A new form for the close-coupling equations

It is shown that the non-uniqueness of the scattering solutions of the close-coupling equations can be resolved in a natural way without recourse to the usual orthogonality conditions. The new equations have a different structure for the exchange terms but their computation involves no extra effort. Two examples based on the 1s-2s-2p close-coupling model for electron scattering by atomic hydrogen are given to illustrate the new form.