$Λ$$Λ$ interactions in finite-density QCD sum rules

dc.creatorZhong, X. H.
dc.creatorNing, P. Z.
dc.date2006-09-11
dc.date2007-05-30
dc.date.accessioned2026-07-07T11:07:37Z
dc.date.available2026-07-07T11:07:37Z
dc.descriptionThe properties of $Λ$-hyperons in pure $Λ$ matter are studied with the finite-density QCD sum rule approach. The first order quark and gluon condensates in $Λ$ nuclear matter are deduced from the chiral perturbation theory. The sum rule predictions are sensitive to the four-quark condensates, $<\bar{q}q>^2_ρ$ and $<\bar{q}q>_ρ<\bar{s}s>_ρ$, and the $πN$ sigma term. When $<\bar{q}q>^2_ρ$ is nearly independent of density and $<\bar{q}q>_ρ<\bar{s}s>_ρ$ depends strongly on density, we can obtain weakly attractive $Λ$$Λ$ potentials (about several MeV) in low $Λ$ density region, which agree with the information from the latest double $Λ$ hyper-nucleus experiments. The nearly no density dependence of $<\bar{q}q>^2_ρ$ and strong density dependence of $<\bar{q}q>_ρ<\bar{s}s>_ρ$ can be explained naturally if the properties of $<\bar{q}q>^2_ρ$ and $<\bar{q}q>_ρ<\bar{s}s>_ρ$ are assumed to be similar to those of $ππ$ and $\bar{K} K$ in nuclear medium, respectively.
dc.description10 pages and 7 figures
dc.identifierhttps://arxiv.org/abs/nucl-th/0609022
dc.identifierhttp://arxiv.org/abs/nucl-th/0609022
dc.identifierPhys.Rev.C75:055206,2007
dc.identifierdoi:10.1103/PhysRevC.75.055206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189903
dc.subjectNuclear Theory
dc.title$Λ$$Λ$ interactions in finite-density QCD sum rules
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