Effective field theory with resonant P-wave interaction

Abstract

A new effective field theory has been developed to describe shallow $P$-wave resonances using nonlocal, momentum-dependent two-body potentials. This approach is expected to facilitate many-body calculations and has been demonstrated to converge and to be renormalizable in perturbative calculations at subleading orders. The theory has been applied to the neutron-alpha system, with good agreement found between its predictions and a phase-shift analysis of neutron-alpha elastic scattering. In the three-body system consisting of two neutrons and an alpha particle, the nonlocal potential in this framework has been found to recover the same qualitative features as previously shown with energy-dependent formulations.

18 pages, 4 figures

References in corpus (8)

• ${}^6$He nucleus in halo effective field theory
• Power counting in chiral effective field theory and nuclear binding
• Weinberg's Compositeness
• Constructing chiral effective field theory around unnatural leading-order interactions
• Nonrelativistic Effective Field Theory with a Resonance Field
• Effective Field Theory for Two-Body Systems with Shallow S-Wave Resonances
• Effective field theory for shallow P-wave states
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Cited by in corpus (3)

• A further study on the renormalization group aspect of perturbative corrections
• Feasibility of perturbative generation of bound-states from resonances or virtual states
• The ${}^9$Be photodisintegration cross section within Cluster Effective Field Theory