Eur. Phys. J. A (2004) 19: 61-75
https://doi.org/10.1140/epja/i2003-10109-0

Spherical Hartree-Fock calculations with linear-momentum projection before the variation

Part II: Spectral functions and spectroscopic factors

Institut für Theoretische Physik der Universität Tübingen, Auf der Morgenstelle 14, D-72076, Tübingen, Germany

^* e-mail: karl-wilhelm.schmid@uni-tuebingen.de

Abstract

The hole spectral functions and from these the spectroscopic factors have been calculated in a Galilei-invariant way for the ground-state wave functions resulting from spherical Hartree-Fock calculations with projection onto zero total linear momentum before the variation for the nuclei ⁴He, ¹²C, ¹⁶O, ²⁸Si, ³²S and ⁴⁰Ca. The results are compared to those of the conventional approach which uses the ground states resulting from usual spherical Hartree-Fock calculations subtracting the kinetic energy of the center-of-mass motion before the variation and to the results obtained analytically with oscillator occupations.