On two nucleons near unitarity with perturbative pions

Teng, Yu-Ping; Grießhammer, Harald W.

doi:10.1140/epja/s10050-025-01675-6

On two nucleons near unitarity with perturbative pions

Journal Article · Wed Sep 17 00:00:00 EDT 2025 · European Physical Journal. A, Hadrons and Nuclei (Online)

DOI:https://doi.org/10.1140/epja/s10050-025-01675-6· OSTI ID:3021440

^[1]; ^[2]

The George Washington University, Washington, DC (United States); University of Wisconsin-Milwaukee, WI (United States)
The George Washington University, Washington, DC (United States)

We explore the impact of perturbative pions on the Unitarity Expansion in the two-nucleon S-waves of Chiral Effective Field Theory at next-to-next-to leading order (N²LO). Pion exchange explicitly breaks the nontrivial fixed point’s universality, i.e. invariance of S waves under both conformal and Wigner’s combined SU(4) spin–isospin transformations. On the other hand, Unitarity explicitly breaks chiral symmetry. The two seem incompatible in their respective exact-symmetry limits. χEFT with Perturbative Pions in the Unitarity Expansion resolves the apparent conflict in the Unitarity Window (phase shifts 45° ≲ δ(k) ≲ 135°), i.e. around momenta most relevant for low-energy nuclear systems. Its only LO scale is the scattering momentum; NLO adds only scattering length, effective range and non-iterated one-pion exchange (OPE); and N²LO only once-iterated OPE. Agreement in the ¹S₀ channel is very good.

View Accepted Manuscript (DOE)

Research Organization:: The George Washington University, Washington, DC (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0015393

OSTI ID:: 3021440

Journal Information:: European Physical Journal. A, Hadrons and Nuclei (Online), Journal Name: European Physical Journal. A, Hadrons and Nuclei (Online) Journal Issue: 9 Vol. 61; ISSN 1434-601X

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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On two nucleons near unitarity with perturbative pions

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