English

A Solution to the Quenched ${g_A}$ Problem in Nuclei and Dense Baryonic Matter

Nuclear Theory 2019-09-17 v2

Abstract

When scale symmetry is combined with chiral symmetry in a scale-chiral Lagrangian, it can be shown in Fermi-liquid fixed point theory that gAeff1g_A^{\rm eff}\approx 1 in finite nuclei {\it as well as} in dense baryonic matter. This is suggested as a signal for emergence of hidden symmetries of QCD in baryonic matter from low to very high density. This calculation throws doubt on the "first principles" explanation of the quenching of gAg_A in nuclei with two-body meson-exchange currents. It also has relevance to Gamow-Teller matrix elements in neutrinoless double β\beta decay.

Keywords

Cite

@article{arxiv.1903.09976,
  title  = {A Solution to the Quenched ${g_A}$ Problem in Nuclei and Dense Baryonic Matter},
  author = {Mannque Rho},
  journal= {arXiv preprint arXiv:1903.09976},
  year   = {2019}
}

Comments

9 pages, 2 figures; this version gives a firmer conclusion