Hidden Spin-Isospin Exchange Symmetry

Lee, Dean; Bogner, Scott; Brown, B. Alex; Elhatisari, Serdar; Epelbaum, Evgeny; Hergert, Heiko; Hjorth-Jensen, Morten; Krebs, Hermann; Li, Ning; Lu, Bing-Nan; Meißner, Ulf-G

doi:10.1103/physrevlett.127.062501

Title: Hidden Spin-Isospin Exchange Symmetry

Journal Article · 02 August 2021 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.127.062501 · OSTI ID:1852433

^[1]; Bogner, Scott ^[2]; Brown, B. Alex ^[2];

^[3]; Epelbaum, Evgeny ^[4];

^[2];

^[5];

^[4];

^[6]; Lu, Bing-Nan ^[7];

^[8]

Michigan State Univ., East Lansing, MI (United States); OSTI
Michigan State Univ., East Lansing, MI (United States)
Karamanoglu Mehmetbey University, Karaman (Turkey)
Ruhr Univ., Bochum (Germany)
Michigan State Univ., East Lansing, MI (United States); Univ. of Oslo (Norway)
Sun Yat-Sen Univ., Guangzhou (China)
China Academy of Engineering Physics, Beijing (China)
Univ. of Bonn (Germany); Forschungszentrum Juelich (Germany); Tbilisi State University (Georgia)

The strong interactions among nucleons have an approximate spin-isospin exchange symmetry that arises from the properties of quantum chromodynamics in the limit of many colors, N_c. However this large- N c symmetry is well hidden and reveals itself only when averaging over intrinsic spin orientations. Furthermore, the symmetry is obscured unless the momentum resolution scale is close to an optimal scale that we call Λ_{large-N_c}. We show that the large-N_c derivation requires a momentum resolution scale of Λ_{large-N_c} ~ 500 MeV. We derive a set of spin-isospin exchange sum rules and discuss implications for the spectrum of ³⁰P and applications to nuclear forces, nuclear structure calculations, and three-nucleon interactions.

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Research Organization:: Michigan State Univ., East Lansing, MI (United States)

Sponsoring Organization:: USDOE Office of Science (SC); National Science Foundation (NSF)

Grant/Contract Number:: SC0017887; SC0018083; SC0018638

OSTI ID:: 1852433

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 6 Vol. 127; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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