Hidden Spin-Isospin Exchange Symmetry

Dean Lee, Scott Bogner, B. Alex Brown, Serdar Elhatisari, Evgeny Epelbaum, Heiko Hergert, Morten Hjorth-Jensen, Hermann Krebs, Ning Li, Bing-Nan Lu, and Ulf-G. Meißner
Phys. Rev. Lett. 127, 062501 – Published 2 August 2021
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Abstract

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, Nc. However this large-Nc 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 ΛlargeNc. We show that the large-Nc derivation requires a momentum resolution scale of ΛlargeNc500MeV. We derive a set of spin-isospin exchange sum rules and discuss implications for the spectrum of P30 and applications to nuclear forces, nuclear structure calculations, and three-nucleon interactions.

  • Figure
  • Received 9 November 2020
  • Revised 24 April 2021
  • Accepted 23 June 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.062501

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Dean Lee1, Scott Bogner1, B. Alex Brown1, Serdar Elhatisari2, Evgeny Epelbaum3, Heiko Hergert1, Morten Hjorth-Jensen1,4, Hermann Krebs3, Ning Li5, Bing-Nan Lu6, and Ulf-G. Meißner7,8,9

  • 1Facility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
  • 2Faculty of Engineering, Karamanoglu Mehmetbey University, Karaman 70100, Turkey
  • 3Ruhr-Universität Bochum, Fakultät für Physik und Astronomie, Institut für Theoretische Physik II, D-44780 Bochum, Germany
  • 4Department of Physics and Center for Computing in Science Education, University of Oslo, N-0316 Oslo, Norway
  • 5Sun Yat-sen University, School of Physics, 135 Xingang Road, Haizhu District, Guangzhou, Guangdong Province, 510000, China
  • 6China Academy of Engineering Physics, Graduate School, Building 8, No. 10 Xi’er Road, ZPark II, Haidian District, Beijing, 100193, China
  • 7Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, Germany
  • 8Institute for Advanced Simulation, Institut für Kernphysik, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425 Jülich, Germany
  • 9Tbilisi State University, 0186 Tbilisi, Georgia

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Issue

Vol. 127, Iss. 6 — 6 August 2021

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