Ab initio study of the halo structure in ${}^{11}$Be

Abstract

We present an ab initio study of the one-neutron halo nucleus ${}^{11}$Be using nuclear lattice effective field theory with high-fidelity chiral interactions at N3LO. By employing the wavefunction matching method to mitigate the sign problem and the pinhole algorithm to sample many-body correlations, we successfully reproduce the ground-state parity inversion and the extended matter radius characteristic of the halo structure. We analyze the intrinsic density distributions and geometric shapes of ${}^{11}$Be in comparison with the core nucleus ${}^{10}$Be. Our results reveal a prominent two-cluster structure in both nuclei and the occupation of the $\sigma$ molecular orbital by the valence neutron in ${}^{11}$Be. It enhances the prolate deformation as well as the diffuse neutron tail, distinct from the $\pi$-orbital occupation observed in the ${}^{10}$Be ground state.

Selected Papers from the International Symposium Commemorating the 40th Anniversary of Halo Nuclei; 9 pages, 4 figures

References in corpus (19)

• Lattice simulations for few- and many-body systems
• Nuclear Charge Radii of Be-7,9,10 and the one-neutron halo nucleus Be-11
• Coulomb and nuclear breakup of a halo nucleus 11Be
• Structure of Excited States of 10Be studied with Antisymmetrized Molecular Dynamics
• Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in ${}^{11}$Be?
• Large basis ab initio shell model investigation of 9-Be and 11-Be
• Single-neutron transfer from 11Be gs via the (p,d) reaction with a radioactive beam
• Essential elements for nuclear binding
• Halo nucleus Be-11: A spectroscopic study via neutron transfer
• Ab initio calculations of the isotopic dependence of nuclear clustering
• Antisymmetrized molecular dynamics studies for exotic clustering phenomena in neutron-rich nuclei
• Structure of excited states of Be-11 studied with Antisymmetrized Molecular Dynamics
• Wavefunction matching for solving quantum many-body problems
• Validation of the ${}^{10}\mathrm{Be}$ Ground-State Molecular Structure Using ${}^{10}\mathrm{Be}(p,p\alpha {)}^6\mathrm{He}$ Triple Differential Reaction Cross-Section Measurements
• Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order
• Structure and reactions of 11Be: many-body basis for single-neutron halo
• Ab initio study of the beryllium isotopes ${}^7$Be to ${}^{12}$Be
• Galilean invariance restoration on the lattice
• Lattice Effective Field Theory Simulations of Nuclei