Quenched <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>g</mml:mi><mml:mi>A</mml:mi></mml:msub></mml:math> in Nuclei and Emergent Scale Symmetry in Baryonic Matter
Yong-Liang Ma, Mannque Rho
Abstract
The recent RIKEN experiment on the quenched g_{A} in the superallowed Gamow-Teller transition from ^{100}Sn indicates the role of scale anomaly encoded in the anomalous dimension β^{'} of the gluonic stress tensor Tr G_{μν}^{2}. This observation provides support to the notion of hidden scale symmetry emerging by strong nuclear correlations with an infrared (IR) fixed point realized-in the chiral limit-in the Nambu-Goldstone mode. We suggest there is an analogy in the way scale symmetry manifests in a nuclear medium to the continuity from the unitarity limit at low density (in light nuclei) to the dilaton limit at high density (in compact stars). In between the limits, say, at normal nuclear matter density, the symmetry is not visible, hence hidden.