New “USD” Hamiltonians for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="italic">sd</mml:mi></mml:mrow></mml:math>shell

Abstract

We derive new Hamiltonians for the $\mathit{sd}$ shell, USDA and USDB, based on a renormalized $G$ matrix with linear combinations of two-body matrix elements adjusted to fit a complete set of data for experimental binding energies and excitation energies for the $\mathit{sd}$-shell nuclei. These Hamiltonians provide a new level of precision for realistic $\mathit{sd}$-shell wave functions for applications to nuclear structure and nuclear astrophysics.