How many-body correlations and $\alpha$-clustering shape ${}^6$He

Abstract

The Borromean ${}^6$He nucleus is an exotic system characterized by two `halo' neutrons orbiting around a compact ${}^4$He (or $\alpha$) core, in which the binary subsystems are unbound. The simultaneous reproduction of its small binding energy and extended matter and point-proton radii has been a challenge for {\em ab initio} theoretical calculations based on traditional bound-state methods. Using soft nucleon-nucleon interactions based on chiral effective field theory potentials, we show that supplementing the model space with ${}^4$He+$n$+$n$ cluster degrees of freedom largely solves this issue. We analyze the role played by the $\alpha$-clustering and many-body correlations, and study the dependence of the energy spectrum on the resolution scale of the interaction.

5 pages, 4 figures

References in corpus (12)

• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He
• Corrections to nuclear energies and radii in finite oscillator spaces
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• Universal properties of infrared oscillator basis extrapolations
• Infrared length scale and extrapolations for the no-core shell model
• Unitary Correlation Operator Method and Similarity Renormalization Group: Connections and Differences
• Unified description of ${}^6$Li structure and deuterium-${}^4$He dynamics with chiral two- and three-nucleon forces
• ${}^4\mathrm{He}$+$n$+$n$ continuum within an ab initio framework
• A Predictive Theory for Elastic Scattering and Recoil of Protons from ${}^4$He
• Continuum and Three-Nucleon Force Effects on 9Be Energy Levels
• Halo nuclei 6He and 8He with the Coulomb-Sturmian basis

Cited by in corpus (21)

• Microscopic Clustering in Light Nuclei
• Effective field theory description of halo nuclei
• Ab initio electromagnetic observables with the in-medium similarity renormalization group
• Ab initio predictions for polarized DT thermonuclear fusion
• Ab-initio no-core Gamow shell model calculations of multi-neutron systems
• Microscopic optical potentials derived from ab initio translationally invariant nonlocal one-body densities
• Two-neutron halo structure of ${}^{31}$F
• Quantifying uncertainties in neutron-alpha scattering with chiral nucleon-nucleon and three-nucleon forces
• Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and $\alpha$-clustering shape ${}^6$He
• Probing ab initio emergence of nuclear rotation
• Ab-initio coupled-cluster calculations of ground and dipole excited states in 8He
• Structure of the exotic ${}^9$He nucleus from the no-core shell model with continuum
• Robust ab initio prediction of nuclear electric quadrupole observables by scaling to the charge radius
• First Measurement of the $B(E2;3/2^{-}\to 1/2^{-})$ Transition Strength in ${}^7$Be: Testing Ab Initio Predictions for $A=7$ Nuclei
• Quadrupole moments and proton-neutron structure in p-shell mirror nuclei
• Natural orbitals for the ab initio no-core configuration interaction approach
• Formation and decay of resonance state in ${}^9$Be and ${}^9$B nuclei. Microscopic three-cluster model investigations
• A combined mean-field and three-body model tested on the ${}^{26}$O-nucleus
• Towards modeling cluster structure of ${}^8$Be with chiral interaction
• Updated three-body model of ${}^6$He $\beta$ decay into the $\alpha$ + $d$ continuum
• Halo structure of ${}^6$He from $\text{ab initio}$ two-nucleon spatial correlations