Collective energies from momentum- and angular momentum-projected determinantal wavefunctions
✍ Scribed by Felix Villars; Nancy Schmeing-Rogerson
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 704 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0003-4916
No coin nor oath required. For personal study only.
✦ Synopsis
Determinantal many-particle wavefunctions, as used in Hartree-Fock theory of finite nuclei, are not eigenfunctions of the total linear momentum, nor, generally, of the total angular momentum. A simple derivation is given for the expression for the energy in terms of momentum-or angular momentum projected determinants. A variational principle based on this expression is used to determine the collective energy (center of mass kinetic and rotational energy). This method gives the correct energy of center of mass motion, and in the case of strong deformation, the Thouless-Valatin self-consistent cranking result for the rotational energy.