Ab initio study of the beryllium isotopes ${}^7$Be to ${}^{12}$Be

Abstract

We present a systematic ab initio study of the low-lying states in beryllium isotopes from 7Be to 12Be using nuclear lattice effective field theory with the N3LO interaction. Our calculations achieve good agreement with experimental data for energies, radii, and electromagnetic properties. We introduce a novel, model-independent method to quantify nuclear shapes, uncovering a distinct pattern in the interplay between positive and negative parity states across the isotopic chain. By combining Monte Carlo sampling of the many-body density operator with a novel nucleon-grouping algorithm, the prominent two-center cluster structures, the emergence of one-neutron halo, complex nuclear molecular dynamics such as π orbital and σ orbital, emerge naturally.

7+9 pages, 4+5 figures

References in corpus (25)

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• Nuclear Charge Radii of Be-7,9,10 and the one-neutron halo nucleus Be-11
• 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
• Imaging Shapes of Atomic Nuclei in High-Energy Nuclear Collisions
• Antisymmetrized molecular dynamics studies for exotic clustering phenomena in neutron-rich nuclei
• Density Functional Theory studies of cluster states in nuclei
• Quantum Monte Carlo calculations of electroweak transition matrix elements in A = 6,7 nuclei
• Emergent geometry and duality in the carbon nucleus
• Wavefunction matching for solving quantum many-body problems
• Investigation of ${}^9$Be from nonlocalized clustering concept
• Three-body structure of low-lying 12Be states
• 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
• Perturbative quantum Monte Carlo method for nuclear physics
• Nuclear-matter distribution in the proton-rich nuclei ${}^7$Be and ${}^8$B from intermediate energy proton elastic scattering in inverse kinematics
• Proton radii of Be, B, and C isotopes
• Breaking and restoration of rotational symmetry on the lattice for bound state multiplets
• 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
• Structure Factors for Hot Neutron Matter from Ab Initio Lattice Simulations with High-Fidelity Chiral Interactions
• Variation of multi-Slater determinants in antisymmetrized molecular dynamics and its application to ${}^{10}$Be with various clustering
• The study of the alpha formation probability in 10Be and 12Be within the microscopic cluster model
• Unified mechanism behind the even-parity ground state and neutron halo of ${}^{11}$Be
• Trimmed Sampling Algorithm for the Noisy Generalized Eigenvalue Problem
• Symmetry and shape coexistence in 10Be

Cited by in corpus (10)

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• Ab initio study of the radii of oxygen isotopes
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• Charge-dependent nucleon-nucleon interaction at N${}^3$LO in nuclear lattice effective field theory
• Robust ab initio predictions for dimensionless ratios of E2 and radius observables. II. Estimation of E2 transition strengths by calibration to the charge radius
• Searching for the Tetraneutron Resonance on the Lattice
• Ab initio study of the halo structure in ${}^{11}$Be
• Controlled Gate Networks: Theory and Application to Eigenvalue Estimation
• Machine learning the single-$\Lambda$ hypernuclei with neural-network quantum states