Ab initio no core shell model
Abstract
Motivated by limitations of the BlochHorowitzBrandow perturbative approach to nuclear structure we have developed the nonperturbative ab initio no core shell model (NCSM) capable of solving the properties of nuclei exactly for arbitrary nucleonnucleon (NN) and NN+ threenucleon (NNN) interactions with exact preservation of all symmetries. We present the complete ab initio NCSM formalism and review highlights obtained with it since its inception. These highlights include the first ab initio nuclearstructure calculations utilizing chiral NNN interactions, which predict the correct lowlying spectrum for ^{10}B and explain the anomalous long ^{14}C βdecay lifetime. We also obtain the small quadrupole moment of ^{6}Li. In addition to explaining longstanding nuclear structure anomalies, the ab initio NCSM provides a predictive framework for observables that are not yet measured or are not directly measurable. For example, reactions between shortlived systems and reaction rates near zero energy are relevant to fusion research but may not be known from experiment with sufficient precision. We, therefore, discuss, in detail, the extension of the ab initio NCSM to nuclear reactions and sketch a number of promising future directions for research emerging from the NCSM foundation, including a microscopic nonperturbative framework for the theory with a core. Having a parameterfree approach, we can construct systems with a core, which will provide an ab initio pathway to heavier nuclei.
 Publication:

Progress in Particle and Nuclear Physics
 Pub Date:
 March 2013
 DOI:
 10.1016/j.ppnp.2012.10.003
 Bibcode:
 2013PrPNP..69..131B