We consider a version of the symmetric Anderson impurity model (compactified) which has a non-Fermi liquid weak coupling regime. We find that in the Majorana fermion representation the perturbation theory can be conveniently developed in terms of Pfaffian determinants and we use this formalism to calculate the impurity free energy, self energies, and vertex functions. We also derive expressions...

All-order relativistic many-body calculations of removal energies are carried out for 3s , 3p1/2 , 3p3/2 , 3d3/2 , 3d5/2 , and 4s states of sodium and sodiumlike ions with nuclear charges Z in the range 12–16. Hyperfine constants are evaluated for each state, and reduced dipole matrix elements are determined for 3p1/2-3s , 3p3/23s , 3d3/2-3p1/2 , 3d3/2-3p3/2 , 3d5/2-3p3/2 , 4s-3p1/2 , and 4s-3p...

Background Baseline offset errors on phase-contrast velocity images can be corrected using stationary tissue, for example subtracting fitted corrections from the image (1). Although corrections are often curved over the FOV, 1st order (linear) fitting is typical. This may partly be due to low SNR of static tissue making higher-order fitting unreliable (2). Aim: To evaluate a new method acquirin...