{'fraction_non_alphanumeric': 0.06213872832369942, 'fraction_numerical': 0.017341040462427744, 'mean_word_length': 5.243243243243243, '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}}
Analytic formulae for interacting boson model matrix elements in the SU(3) basis.

A simple analytic expression is reported for U(6) matrix elements in the totally symmetric irreducible representations relevant to the interacting boson model. With respect to the SU(3) symmetry-adapted basis, the U(6) generators are given explicitly as SU(3) reduced matrix elements. The two-body Hamiltonian is expressed as a linear combination of SU(3) tensor operators. In particular, the Casimir invariants of the SU(5), O(6), and O(5) algebras are given in terms of SU(3) tensors. By using 9-({lambda}{mu}) coefficients, the SU(3) tensor method is extended to the proton-neutron interacting boson model.