A unitary transformation allows to remove redundant terms in the two-nucleon (2⁢𝑁) contact interaction at the fourth order (N3LO) in the low-energy expansion of chiral effective field theory. In so doing a three-nucleon (3⁢𝑁) interaction is generated. We express its short-range component in terms of five combinations of low-energy constants (LECs) parametrizing the N3LO 2⁢𝑁 contact Lagrangian. Within a hybrid approach, in which this interaction is considered in conjunction with the phenomenological AV18 2⁢𝑁 potential, we show that the involved LECs can be used to fit very accurate data on polarization observables of low-energy 𝑝−𝑑 scattering, in particular the 𝐴𝑦 asymmetry. The resulting interaction is of the right order of magnitude for a N3LO contribution.

Effect of the N3LO three-nucleon contact interaction on p−d scattering observables

E. Filandri;
2023-01-01

Abstract

A unitary transformation allows to remove redundant terms in the two-nucleon (2⁢𝑁) contact interaction at the fourth order (N3LO) in the low-energy expansion of chiral effective field theory. In so doing a three-nucleon (3⁢𝑁) interaction is generated. We express its short-range component in terms of five combinations of low-energy constants (LECs) parametrizing the N3LO 2⁢𝑁 contact Lagrangian. Within a hybrid approach, in which this interaction is considered in conjunction with the phenomenological AV18 2⁢𝑁 potential, we show that the involved LECs can be used to fit very accurate data on polarization observables of low-energy 𝑝−𝑑 scattering, in particular the 𝐴𝑦 asymmetry. The resulting interaction is of the right order of magnitude for a N3LO contribution.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11582/351887
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