Abstract:
How the axial coupling constant gA in nuclear Gamow-Teller transitions described in shell model gets "quenched" to a universal constant close to 1 can be explained by nuclear correlations in Fermi-liquid fixed point theory using a scale-symmetric chiral Lagrangian supplemented with hidden local symmetric vector mesons. Contrary to what one might naively suspect -- and has been discussed in some circles, there is no fundamental quenching at nuclear matter density due to QCD condensates. When the density of many-body systems treated with the same Lagrangian increases beyond the density $n=n_{1/2}gsim 2n_0$ (where n0 is the normal nuclear matter density) at which skyrmions representing baryons fractionize to half-skyrmions, with the ρ meson driven toward the vector manifestation fixed point and a scalar meson σ driven to the dilaton-limit fixed point with the nucleons parity-doubled, the dense matter supports the "pseudo-conformal" sound velocity for $ngsim n_{1/2}$ while the trace of the energy momentum tensor remains non-vanishing. A plausible interpretation is that this signals the emergence of scale symmetry not explicitly present or hidden in QCD in the vacuum. The fundamental constant gA, unaffected by QCD condensates for nAnnée de publication : 2018
Preprint : arXiv:1804.00310
Langue : Anglais
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