Matter and charge radius of 6He in the hyperspherical-harmonics approach

Abstract

We present ab-initio calculations of the binding energy and radii of the two-neutron halo nucleus 6He using two-body low-momentum interactions based on chiral effective field theory potentials. Calculations are performed via a hyperspherical harmonics expansion where the convergence is sped up introducing an effective interaction for non-local potentials. The latter is essential to reach a satisfactory convergence of the extended matter radius and of the point-proton radius. The dependence of the results on the resolution scale is studied. A correlation is found between the radii and the two-neutron separation energy. The importance of three-nucleon forces is pointed out comparing our results and previous calculations to experiment.

8 pages, 6 figures, minor changes, published version

References in corpus (10)

• Chiral effective field theory and nuclear forces
• Recent developments in no-core shell-model calculations
• Quantum Monte Carlo calculations of neutron-alpha scattering
• Convergence in the no-core shell model with low-momentum two-nucleon interactions
• Low-momentum interactions with smooth cutoffs
• Complex coupled-cluster approach to an ab-initio description of open quantum systems
• Momentum space evolution of chiral three-nucleon forces
• The effect of spin-orbit nuclear charge density corrections due to the anomalous magnetic moment on halonuclei
• Role of final state interaction and of three-body force on the longitudinal response function of 4He
• Test of J-matrix inverse scattering potentials on electromagnetic reactions of few-nucleon systems

Cited by in corpus (32)

• Convergence properties of {\itshape ab initio} calculations of light nuclei in a harmonic oscillator basis
• New applications of renormalization group methods in nuclear physics
• ${}^6$He nucleus in halo effective field theory
• Emergence of rotational bands in ab initio no-core configuration interaction calculations of the Be isotopes
• How many-body correlations and $\alpha$-clustering shape ${}^6$He
• Microscopic optical potentials derived from ab initio translationally invariant nonlocal one-body densities
• Emergence of rotational bands in ab initio no-core configuration interaction calculations of light nuclei
• Halo nuclei 6He and 8He with the Coulomb-Sturmian basis
• Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and $\alpha$-clustering shape ${}^6$He
• Emergent Sp(3,R) dynamical symmetry in the nuclear many-body system from an ab initio description
• Collective rotation from ab initio theory
• Pairing in the continuum: the quadrupole response of the Borromean nucleus 6He
• Ab-initio coupled-cluster calculations of ground and dipole excited states in 8He
• Microscopic description of translationally-invariant core+N+N overlap functions
• Natural orbital description of the halo nucleus 6He
• Electric dipole response of ${}^6$He: Halo-neutron and core excitations
• First Measurement of the $B(E2;3/2^{-}\to 1/2^{-})$ Transition Strength in ${}^7$Be: Testing Ab Initio Predictions for $A=7$ Nuclei
• Natural orbitals for the ab initio no-core configuration interaction approach
• Intrinsic operators for the translationally-invariant many-body problem
• The nuclear electric polarizability of 6He
• Algebraic evaluation of matrix elements in the Laguerre function basis
• Open Shell Effects in a Microscopic Optical Potential for Elastic Scattering of ${}^{6(8)}$He
• Cooper pairs in the Borromean nuclei ${}^6$He and ${}^{11}$Li using continuum single particle level density
• Corrections to nucleon capture cross sections computed in truncated Hilbert spaces
• Calculation Of The Elastic P6He And P8He Scattering In Glauber Approximation
• Two-dimensional extrapolation procedure for ab initio study of nuclear size parameters and the properties of halo nucleus 6He
• Computing an orthonormal basis of symmetric or antisymmetric hyperspherical harmonics
• Constrained correlated-Gaussians for hyperspherical calculations
• Electromagnetic Observables in Few-Nucleon Systems
• Ab initio informed 20Ne(p, p$\alpha$)16O reaction elucidates the emergence of alpha clustering from chiral potentials
• Rescattering effects in proton interaction with light neutron rich nuclei
• Neutron-rich Helium isotopes based on hyperspherical harmonics