Spectroscopy of light nuclei with realistic NN interaction JISP
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CLEI Theory
Spectroscopy of Light Nuclei with Realistic N N Interaction JISP A. M. Shirokov1)* , J. P. Vary2), A. I. Mazur3), and T. A. Weber2) Received October 5, 2007
Abstract—Recent results of our systematic ab initio studies of the spectroscopy of s- and p-shell nuclei in fully microscopic large-scale (up to a few hundred million basis functions) no-core shell-model calculations are presented. A new high-quality realistic nonlocal N N interaction JISP is used. This interaction is obtained in the J-matrix inverse-scattering approach (JISP stands for the J-matrix inverse-scattering potential) and is of the form of a small-rank matrix in the oscillator basis in each of the N N partial waves, providing a very fast convergence in shell-model studies. The current purely two-body JISP model of the nucleon–nucleon interaction JISP16 provides not only an excellent description of two-nucleon data (deuteron properties and np scattering) with χ2 /datum = 1.05 but also a better description of a wide range of observables (binding energies, spectra, rms radii, quadrupole moments, electromagnetictransition probabilities, etc.) in all s- and p-shell nuclei than the best modern interaction models combining realistic nucleon–nucleon and three-nucleon interactions. PACS numbers: 21.60.De, 21.30.-x, 21.10.Dr, 21.10.-k DOI: 10.1134/S1063778808070168
A number of high-precision fully microscopic approaches in the theory of nuclear structure that do not involve any model-dependent assumptions (for example, the concept of an inert core) have been developed in recent years; they are commonly known as ab initio approaches. Of course, the possibility of performing ab initio calculations is predicated on the development of supercomputers and is currently restricted to comparatively light nuclei. Ab initio methods include approaches based on numerically solving Faddeev and Faddeev–Yakubovsky equations in the theory of few-body systems and, in the case of heavier nuclei, some modern versions of the Monte Carlo method (variational Monte Carlo and Green’s function Monte Carlo methods), the method of hyperspherical functions, the coupled-cluster approach, and some modern versions of the shell model. We believe the no-core shell model (NCSM) [1] to be currently the most promising ab initio method that makes it possible to perform high-precision studies of A ≥ 6 nuclei. The nucleon–nucleon interaction exhausts input information for ab initio investigations in nuclear theory. At the present time, there are a number of highprecision, so-called realistic, N N interactions relying 1)
Institute of Nuclear Physics, Moscow State University, Leninskie gory, Moscow, 119992 Russia. 2) Department of Physics and Astronomy, Iowa State University, Ames, IA 50011-3160, USA. 3) Pacific National University, Tikhookeanskaya ul. 136, Khabarovsk, 680035 Russia. * E-mail: [email protected]
on meson-exchange theory and providing a perfect description of deuteron properties and data on N N scattering. It is well known that such interactions not supplemented
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