On the Accuracy of Wave Functions and Charge Form Factors Obtained from ATMS Calculations

Abstract

A function B(E) is introduced which measures the impurity of a trial wave function coming form the admixture of eigenstates with energies equal to or larger than E. An upper bound of B(E) is derived from the gap between the Ritz and Temple bounds of the energy. A small energy gap means a very small impurity at large values of E. Implications on form factor calculations based on the ATMS method are discussed. Around and above the region of the second maximum of the elastic charge form factor, in particular, the ATMS results are very reliable.