Eur. Phys. J. A (2005) 25: 475-480
https://doi.org/10.1140/epjad/i2005-06-214-x

ENAM 2004

Ab initio No-Core Shell Model --Recent results and future prospects

¹ Department of Physics and Astronomy, Iowa State University, 50011, Ames, IA, USA
² Department of Physics, University of Arizona, 85721, Tucson, AZ, USA
³ Department of Physics, University of Jordan, Amman, Jordan
⁴ Theoretical Division, Los Alamos National Laboratory, 87545, Los Alamos, NM, USA
⁵ Department of Physics and Chemistry, Arkansas State University, 72467, AR, USA
⁶ Physics Department, Khabarovsk State Technical University, 680035, Khabarovsk, Russia
⁷ Lawrence Livermore National Laboratory, 94551, Livermore, CA, USA
⁸ Horia Hulubei National Institute of Physics and Nuclear Engineering, Bucharest-Magurele, Romania
⁹ Institut für Kernphysik, Forschungszentrum Jülich, 52425, Jülich, Germany
¹⁰ Skobeltsyn Institute of Nuclear Physics, Moscow State University, 119992, Moscow, Russia

^* e-mail: jvary@iastate.edu

Received: 14 January 2005
Accepted: 19 March 2005
Published online: 10 August 2005

Abstract

The ab initio No-Core Shell Model (NCSM) adopts an intrinsic Hamiltonian for all nucleons in the nucleus. Realistic two-nucleon and tri-nucleon interactions are incorporated. From this Hamiltonian, an Hermitian effective Hamiltonian is derived for a finite basis space conserving all the symmetries of the initial Hamiltonian. The resulting finite sparse matrix problem is solved by diagonalization on parallel computers. Applications range from light nuclei to multiquark systems and, recently, to similar problems in quantum field theory. We present this approach with a sample of recent results.