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Contact operators in renormalization of attractive singular potentials

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arxiv 2407.08342 v2 pith:I5KWWGKX submitted 2024-07-11 nucl-th

Contact operators in renormalization of attractive singular potentials

classification nucl-th
keywords contactpotentialschiralexceptionalleadingmakingorderrenormalization
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss renormalization of chiral nuclear forces in the 3P0 channel of N N scattering at next- to-next-to leading order (N2LO) if the one-pion exchange is treated nonperturbatively at leading order. The matrix elements of the subleading contact potentials become nearly dependent of each other for the so-called exceptional ultraviolet momentum cutoff, making it difficult to determine the strengths of those contact potentials from the empirical phase shifts, as reported in Ref. [1]. We argue that this issue can be resolved by adjusting the strategy by which the low-energy constants are deduced from the data, thus making those exceptional cutoffs amenable to chiral effective field theory.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Three- and four-boson systems expanded around the unitarity limit: Application to $^4$He

    cond-mat.quant-gas 2026-05 unverdicted novelty 6.0

    EFT study of ^4He trimers and tetramers around unitarity limit yields binding energies and radii that converge to phenomenological potential results after including finite-range and four-body corrections.

  2. Perturbative calculations of light nuclei up to N$^3$LO in chiral effective field theory

    nucl-th 2026-04 unverdicted novelty 5.0

    Perturbative N3LO calculations in chiral EFT with RG-guided power counting yield robust predictions for light nuclei energies when calibrated on the tritium binding energy.

  3. Auxiliary counterterms and their role in effective field theory

    nucl-th 2026-03 unverdicted novelty 5.0

    Auxiliary counterterms provide exact cutoff independence in EFTs but encode no new physics and aid renormalization consistency and convergence.