Ab initio Calculations of the Isotopic Dependence of Nuclear Clustering
Abstract
Nuclear clustering describes the appearance of structures resembling smaller nuclei such as alpha particles (^{4}He nuclei) within the interior of a larger nucleus. In this Letter, we present lattice Monte Carlo calculations based on chiral effective field theory for the ground states of helium, beryllium, carbon, and oxygen isotopes. By computing modelindependent measures that probe three and fournucleon correlations at short distances, we determine the shape of the alpha clusters and the entanglement of nucleons comprising each alpha cluster with the outside medium. We also introduce a new computational approach called the pinhole algorithm, which solves a longstanding deficiency of auxiliaryfield Monte Carlo simulations in computing density correlations relative to the center of mass. We use the pinhole algorithm to determine the proton and neutron density distributions and the geometry of cluster correlations in ^{12}C, ^{14}C, and ^{16}C. The structural similarities among the carbon isotopes suggest that ^{14}C and ^{16}C have excitations analogous to the wellknown Hoyle state resonance in ^{12}C.
 Publication:

Physical Review Letters
 Pub Date:
 December 2017
 DOI:
 10.1103/PhysRevLett.119.222505
 arXiv:
 arXiv:1702.05177
 Bibcode:
 2017PhRvL.119v2505E
 Keywords:

 Nuclear Theory;
 Astrophysics  Solar and Stellar Astrophysics;
 High Energy Physics  Lattice;
 Nuclear Experiment
 EPrint:
 Version to appear in Physical Review Letters. 5 + 12 pages (main + supplemental materials), 3 + 12 figures (main + supplemental materials)