Using OPE matched to Pionless EFT, the authors reproduce the deuteron's high-momentum nucleon distribution from scattering-state inputs, validating the method against the AV18 potential.
Deciphering the coalescence behavior of Coulomb-Schr\"odinger atomic wave functions from an operator product expansion
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abstract
We revisit the coalescence behavior of the atomic Schr\"odinger wave functions from the angle of an operator product expansion (OPE) within the nonrelativistic Coulomb-Schr\"odinger effective field theory. We take the electron-nucleus coalescence as an explicit example to demonstrate our formalism, where the celebrated Kato's cusp condition can be easily reproduced. An exact OPE relation is rigorously proved to all orders in perturbation theory. Our approach can be readily extended to ascertain the multi-particle coalescence behaviors of atomic wave functions, as well as to take relativistic effects into account.
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Systematic study of large-momentum distribution in nuclei with the operator product expansion
Using OPE matched to Pionless EFT, the authors reproduce the deuteron's high-momentum nucleon distribution from scattering-state inputs, validating the method against the AV18 potential.