Abstract
The difference between the pseudoscalar and pseudovector \ensuremath{\pi}N couplings are examined in the context of the nucleonic axion bremsstrahlung rate. With the pseudovector coupling, eight diagrams contribute to the matrix element for axion bremsstrahlung. A naive use of the pseudoscalar coupling for these eight diagrams, on the other hand, gives a different matrix element and overestimates the energy-loss rate of degenerate neutron-star matter via neutron-neutron axion bremsstrahlung typically by an order of magnitude.
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