Abstract
We study the theoretical structure of compositeness with explicit energy dependency and find a possible explanation for the difficulty in the interpretation of compositeness of deuteron. Many approaches, including the weak-binding limit, calculate the deuteron compositeness as greater than unity, regardless of its interpretation as a proportion. The widely adopted surjective interpretation, which assumes the energy dependency in the interaction always comes from other states, is challenged by our study on deuteron. Based on numerical and perturbative calculations, we conclude that if the energy-dependent part of the interaction contributes to attraction, compositeness is likely to be enhanced from unity. Since the scattering length of the deuteron is insufficient to explain its binding energy, we are forced to use attractive energy-dependent interactions, resulting in unreasonable value of deuteron compositeness. We discuss the implications of this outcome and the model dependency of compositeness. To address this problem, we propose a straightforward extension, though it comes at the expense of model-independent calculations promised by the surjective interpretation. Published by the American Physical Society 2024
Published Version
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