Projector operators for the no-core shell model
- PDF / 399,288 Bytes
- 3 Pages / 612 x 792 pts (letter) Page_size
- 88 Downloads / 167 Views
70th BIRTHDAY OF Yu.F. SMIRNOV Theory
Projector Operators for the No-Core Shell Model* A. M. Shirokov Institute of Nuclear Physics, Moscow State University, Moscow, 119992 Russia Received August 19, 2005
Abstract—Projection operators for the use within the ab initio no-core shell model are suggested. PACS numbers : 21.60.Cz DOI: 10.1134/S1063778806060135
1. INTRODUCTION The shell model is a recognized tool for microscopic studies of nuclear structure. The no-core shell model (NCSM) [1–3], the version of the shell model where all A nucleons are spectroscopically active, is widely used now (see, e.g., [3–6]) for ab initio calculations of light nuclei (up through A = 16) with modern realistic nucleon–nucleon and three-nucleon forces. The NCSM utilizes the basis of Slater determinants of single-particle oscillator states. These basis functions are known to have spurious contributions of center-of-mass (CM) excitations. The wave functions of physically acceptable eigenstates of the intrinsic NCSM Hamiltonian 1 (pi − pj )2 + VN N,ij A 2m A
HA =
A
i
Data Loading...
