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The Spin-Flavor Dependence of Nuclear Forces from Large-N QCD
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The Spin-Flavor Dependence of Nuclear Forces from Large-N QCD
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We show that nuclear interactions are SU(4) symmetric at leading order in chiral perturbation theory in the large-N limit of QCD. The nucleons and delta resonances form a 20-dimensional representation of SU(4) and we show how Wigner's supermultiplet symmetry SU(4)_{sm}, under which the nucleons transform as a 4-dimensional representation, follows as an accidental low energy symmetry. Exploiting SU(4) symmetry allows one to express the 18 independent leading nucleon, delta interaction operators invariant under spin and isospin symmetries in terms of only two couplings. The three flavor analogue allows one to express the 28 leading octet, decuplet interactions also in terms of only two couplings, which has implications for hypernuclei and strangeness in ``neutron'' stars.
Forward citations
Cited by 2 Pith papers
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Quantum Resources and Wigner Symmetry in Nucleon-Nucleon Scattering from Effective Field Theory
Under Wigner's SU(4) symmetry the neutron-proton scattering amplitude generates no new quantum resources while same-nucleon channels do due to identical-particle constraints.
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Quantum Simulation of Nucleon-Antinucleon Interaction in Large-$N$ QCD$_2$ on an IBM Quantum Nighthawk Processor
Quantum simulation on IBM Nighthawk extracts attractive kink-antikink potential in large-N QCD2 mapped to XXZ chain, agreeing with exact diagonalization benchmarks.
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