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Phys. Rev. C 49, 1190–1204 (1994)

QCD sum rules for Λ hyperons in nuclear matter

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Xuemin Jin
Department of Physics and Center for Theoretical Physics, University of Maryland, College Park, Maryland 20742

R. J. Furnstahl
Department of Physics, The Ohio State University, Columbus, Ohio 43210

Received 9 August 1993; published in the issue dated February 1994

The self-energies of a Λ hyperon propagating in nuclear matter are studied using finite-density QCD sum-rule methods. A correlator of Λ interpolating fields is evaluated in the nuclear matter ground state using both an operator product expansion and a dispersion relation with a spectral ansatz. The Lorentz vector self-energy of the Λ is found to be substantially smaller than the corresponding nucleon vector self-energy. The magnitude of Lorentz scalar self-energy of the Λ is also smaller than the corresponding value for nucelon; however, this prediction is sensitive to the assumed density dependence of certain four-quark condensates. The scalar and vector self-energies tend to cancel, but not completely. The implications for the Λ spin-oribt force in a finite nucleus are discussed.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.49.1190
DOI:
10.1103/PhysRevC.49.1190
PACS:
24.85.+p, 21.65.+f, 21.80.+a, 11.55.Hx