The Spin-Flavor Dependence of Nuclear Forces from Large-N QCD

Details The Spin-Flavor Dependence of Nuclear Forces from Large-N QCD The Spin-Flavor Dependence of Nuclear Forces from Large-N QCD

1995-09-22

arxiv.org/abs/hep-ph/9509371v3

Phys.Lett. B365 (1996) 244

Physics

High Energy Physics

High Energy Physics - Phenomenology

Discussion of the form of the Savage-Wise coefficients corrected; reference added

Scientific paper

10.1016/0370-2693(95)01277-X

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.

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