Quantum Monte Carlo calculations of nuclei with A \leq 7

Abstract

We report quantum Monte Carlo calculations of ground and low-lying excited states for nuclei with A \leq 7 using a realistic Hamiltonian containing the Argonne v18 two-nucleon and Urbana IX three-nucleon potentials. A detailed description of the Green's function Monte Carlo algorithm for systems with state-dependent potentials is given and a number of tests of its convergence and accuracy are performed. We find that the Hamiltonian being used results in ground states of both 6Li and 7Li that are stable against breakup into subclusters, but somewhat underbound compared to experiment. We also have results for 6He, 7He, and their isobaric analogs. The known excitation spectra of all these nuclei are reproduced reasonably well and we predict a number of excited states in 6He and 7He. We also present spin-polarized one-body and several different two-body density distributions. These are the first microscopic calculations that directly produce nuclear shell structure from realistic interactions that fit NN scattering data.

75 pages, 20 figures, Revtex

References in corpus (1)

• Study of bound and scattering states in three-nucleon systems

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• Short-range three-nucleon forces and low-energy constants
• No-core shell model for 48-Ca, 48-Sc and 48-Ti
• Open Shell Effects in a Microscopic Optical Potential for Elastic Scattering of ${}^{6(8)}$He
• JLab Measurements of the 3He Form Factors at Large Momentum Transfers
• Chiral NNLO${}_{\text{sat}}$ descriptions of nuclear multipole resonances within the random phase approximation
• Comprehensive investigation of the symmetric space-star configuration in the nucleon-deuteron breakup
• The weak structure of the nucleon from muon capture on 3He
• Magnetic structure of $A\le 10$ nuclei using the Norfolk nuclear models with quantum Monte Carlo methods
• Short-range correlations and momentum distributions in mirror nuclei 3H and 3He
• Folding model analysis of ${}^{12}C{-}^{12}C$ and ${}^{16}O{-}^{16}O$ elastic scattering using the density-dependent LOCV averaged effective interaction
• The ${}^3$He(e, e${}^{\prime }$d)p Reaction in q$\omega$-constant Kinematics
• Short-range correlations in semi-exclusive electron scattering experiments
• Density-dependent nucleon-nucleon interaction from UIX three-nucleon force
• The Auxiliary Field Diffusion Monte Carlo Method for Nuclear Physics and Nuclear Astrophysics
• Uncertainties in ab initio nuclear structure calculations with chiral interactions
• Angular distributions of the vector Ay and tensor Ayy, Axx, Axz analyzing powers in the dd->3Hp reaction at 200 MeV
• Total cross section for p-d breakup below 30 MeV
• An update of muon capture on hydrogen
• Study of Three-Nucleon Dynamics in the dp breakup collisions using the WASA detector
• Analyzing powers in $d(\vec{p},pp)n$ at intermediate and large scattering angles at $190$~MeV
• Deeply virtual Compton scattering off Helium nuclei with positron beams
• New many-body method using cluster expansion diagrams with tensor-optimized antisymmetrized molecular dynamics
• Nuclear structure investigation of even-even and odd Pb isotopes by using the Hartree-Fock-Bogoliubov method
• Perturbative treatment of nonlocal chiral interactions in auxiliary-field diffusion Monte Carlo calculations
• The nuclear symmetry energy and the neutron skin thickness in nuclei
• Tagged EMC Measurements on Light Nuclei
• Effective tensor forces and neutron rich nuclei
• Chiral symmetry and peripheral neutron-$\alpha$ scattering
• Harmonic-oscillator excitations of precise few-body wave functions
• Deuteron distribution in nuclei and the Levinger's factor
• Probing three-nucleon-force effects via (p,2p) reactions
• First Measurement of the Asymmetry and the Gerasimov-Drell-Hearn Integrand from $\overrightarrow{{}^{3}He}(\vec{\gamma },p)d$ reaction at the Incident Photon Energy of 29 MeV
• Local two- and three-nucleon chiral interactions
• Nucleon-deuteron scattering with the JISP16 potential
• Structure of A=3 Nuclear Systems Using Realistic Hamiltonians
• Monte Carlo Eikonal Scattering
• The Lorentz integral transform (LIT) method
• Transition from hadronic to partonic interactions for a composite spin-1/2 model of a nucleon
• Spin-isospin excitation of ${}^3$He with three-proton final state
• Longitudinal form factors of $A\le 10$ nuclei in a chiral effective field theory approach
• Multi-channel phase-equivalent transformation and supersymmetry
• The $A_y$-Problem in Refined Resonating Group Model calculations for ($p{-}^3\mathrm{He}$) Scattering
• Mass-Energy Equivalence in Bound Three-Nucleon Systems
• Rescattering effects in proton interaction with light neutron rich nuclei
• Structure of the Particle-Hole Amplitudes in No-core Shell Model Wave Functions
• Direct ab initio calculation of the ${}^4$He nuclear electric dipole polarizability
• Derivation of transition density from the observed 4He(e,e')4He(0^+_2) form factor raising the alpha-particle monopole puzzle
• Electromagnetic Reactions and Few-Nucleon Dynamics
• $nd$ scattering lengths from a quark-model based $NN$ interaction
• Correlations among neutron-proton and neutron-deuteron elastic scattering observables
• Few-nucleon studies at intermediate energies
• Electromagnetic Processes in $\chi$EFT
• The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model
• Three-nucleon force effects in inclusive spectra of the neutron-deuteron breakup reaction
• Single-particle spectroscopic strength from nucleon transfer reactions with a three-nucleon force contribution
• From nuclear structure to neutron stars
• Effect of short- and long-range correlations on neutron skins of various neutron-rich doubly magic nuclei
• Neutral baryonic systems with strangeness
• Neutron matter at the interface(s): static response and effective mass
• The equation of state of neutron star matter and the symmetry energy
• Spinodal instabilities of spin polarized asymmetric nuclear matter
• Two-flavor hybrid stars with the Dyson-Schwinger quark model
• Muonic Lithium atoms: nuclear structure corrections to the Lamb shift
• The EOS of neutron matter and the effect of $\Lambda$ hyperons to neutron star structure
• Neural Quantum States for Light Nuclei with Chiral Two- and Three-Body Interactions
• Probing the existence of η^3He mesic nucleus with a few-body approach
• Correlation between the nuclear structure and reaction dynamics of Ar-isotopes as projectile using the relativistic mean-field approach
• Investigation of interaction of circularly and linearly polarized photon beams with polarized 3He target
• Correlations and realistic interactions in doubly closed shell nuclei
• Quantum Monte Carlo study of inhomogeneous neutron matter
• Few body Calculation of Neutrino Neutral Inelastic scattering on 4He
• Decomposition of EOS of Asymmetric Nuclear Matter into Different Spin-isospin Channels
• Meaning of the nuclear wave function
• Longitudinal response function of 4He with a realistic force
• Weak Response of Nuclear Matter at low Momentum transfer
• A microscopic cluster model study of ${}^3$He+$p$ scatterings
• Many-Body Theory of the Electroweak Nuclear Response
• Compact and Loosely Bound Structures in Light Nuclei
• Significance of chiral three-nucleon force contact terms for understanding of elastic nucleon-deuteron scattering
• Exotic baryons from a heavy meson and a nucleon
• Low-energy Electro-weak Reactions
• Three-Nucleon Force Effects in the FSI configuration of the d(n, nn)p Breakup Reaction
• Measurement of 3He analyzing power for p-3He scattering using the polarized 3He target
• Single particle potentials of asymmetric nuclear matter in different spin-isospin channels
• The effect of three-body nucleon-nucleon interaction on the ground state binding energy of the light nuclei
• $\Xi NN$ three-baryon force from SU(3) chiral effective field theory: A femtoscopic study
• Efficient emulation of nuclear ground states with neural-network variational Monte Carlo and eigenvector continuation
• On the nucleons motion in the nucleus as being due to realistic inter-nucleonic forces
• Some relativistic aspects of nuclear dynamics at the electrodisintegration of nuclei
• Tortuous ways to the extraction of neutron observables from inclusive lepton scattering
• Electromagnetic processes in a $\chi$EFT framework
• Three-Nucleon Force in the 4He Scattering System
• A new realistic many-body approach for the description of high-energy scattering processes off complex nuclei