Ab initio Calculations of the Isotopic Dependence of Nuclear Clustering

Physical Review Letters
Serdar ElhatisariGautam Rupak

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 model-independent measures that probe three- and four-nucleon 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 long-standing deficiency of auxiliary-field 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 well-known Hoyle state resonance in ^{12}C.

References

Jul 9, 2010·Nature·Randolf PohlFranz Kottmann
Jun 15, 2011·Physical Review Letters·Evgeny EpelbaumUlf-G Meissner
Feb 2, 2013·Physical Review Letters·Evgeny EpelbaumUlf-G Meißner
Apr 1, 2014·Physical Review Letters·Evgeny EpelbaumGautam Rupak
Aug 2, 2014·Physical Review Letters·Carolina Romero-RedondoGuillaume Hupin
Mar 15, 2013·Physical Review Letters·Evgeny EpelbaumUlf-G Meissner
Dec 4, 2015·Nature·Serdar ElhatisariUlf-G Meißner
Sep 3, 2016·Physical Review Letters·A LovatoR Schiavilla
Oct 8, 2016·Physical Review Letters·Serdar ElhatisariGautam Rupak
Nov 9, 2016·Physical Review Letters·G HagenT Papenbrock
Feb 6, 2017·Physical Review Letters·S R StrobergA Schwenk
Jun 24, 2017·Physical Review Letters·Alexander RokashDean Lee

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Citations

Aug 8, 2018·Physical Review Letters·Dillon FrameErmal Rrapaj
Apr 28, 2020·Physical Review Letters·William G DawkinsAlexandros Gezerlis
Nov 21, 2020·Physical Review Letters·Bing-Nan LuUlf-G Meißner

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