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Effective field theory with resonant P-wave interaction
Nuclear Theory · Submitted 30 Mar 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A new effective field theory has been developed to describe shallow $P$-wave resonances using nonlocal, momentum-dependent two-body potentials. | contribution 0.97 | 0.91 | 0.40 | asserted 1.00 |
| s1 | 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. | interpretation 0.42 | 0.49 | 0.23 | asserted 0.62 |
| s2 | 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. | result 0.98 | 0.87 | 0.21 | asserted 1.00 |
| s3 | 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. | result 1.00 | 0.84 | 0.15 | asserted 1.00 |
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The paper
Original 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.
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References
How the literature uses it
4 arXiv papers cite this in 8 sentences
Papers citing it · 6 sentences without a confident label
Cites it as background 2 papers
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An implementation of finite-range interactions in a non-local version of Halo EFT was explored in the context of $^6$He in Ref. [ref] .
Finite-range EFT for the $E1$ strength distribution of ${}^6$He · Introduction · 0.96
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Similar approaches for nuclear systems with explicit pion fields [ref] and for halo nuclei with $P$-wave nucleon-core interactions [ref] have also been explored recently.
Two-body double pole and three-body bound states: physical and unphysical quark masses · Introduction · 0.95
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