Gamow-Teller transition (source code)

= Gamow-Teller transition
{c}
{title2=$\mathbf M_{GT}=\langle f|\sum_k\boldsymbol\sigma_k\tau_k^\pm|i\rangle$}

The spin-dependent axial-vector contribution to an <allowed beta decay>. Its rotational rank is one, permitting $\Delta J=0,1$ with unchanged <parity>, but excluding $0\to0$. Here $\boldsymbol\sigma_k$ acts on <nucleon> <spin> and $\tau_k^\pm$ on <isospin>. Higher-orbital spin-dependent contributions are conventionally described as Gamow-Teller-type forbidden transitions.