The Auxiliary Field Diffusion Monte Carlo Method for Nuclear Physics and Nuclear Astrophysics

Abstract

In this thesis, I discuss the use of the Auxiliary Field Diffusion Monte Carlo method to compute the ground state of nuclear Hamiltonians, and I show several applications to interesting problems both in nuclear physics and in nuclear astrophysics. In particular, the AFDMC algorithm is applied to the study of several nuclear systems, finite, and infinite matter. Results about the ground state of nuclei (${}^4$He, ${}^8$He, ${}^{16}$O and ${}^{40}$Ca), neutron drops (with 8 and 20 neutrons) and neutron rich-nuclei (isotopes of oxygen and calcium) are discussed, and the equation of state of nuclear and neutron matter are calculated and compared with other many-body calculations. The ${}^1{S}_0$ superfluid phase of neutron matter in the low-density regime was also studied.

Ph.D. thesis at University of Trento, Italy. 121 pages

References in corpus (71)

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• The equation of state for nucleon matter and neutron star structure
• Neutron Star Structure and the Equation of State
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Determination of the Equation of State of Dense Matter
• The Physics of Neutron Stars
• Construction of high-quality Nucleon-Nucleon potential models
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Quantum Monte Carlo Calculations of $A\le 6$ Nuclei
• Quantum Monte Carlo Calculations of Light Nuclei
• The two-nucleon system at next-to-next-to-next-to-leading order
• Soft-core hyperon-nucleon potentials
• Realistic models of pion-exchange three-nucleon interactions
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• Pairing in nuclear systems: from neutron stars to finite nuclei
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• Quantum Monte Carlo method using phase-free random walks with Slater determinants
• Soft-core baryon-baryon potentials for the complete baryon octet
• Quantum Monte Carlo calculations of $A=9,10$ nuclei
• Benchmark Test Calculation of a Four-Nucleon Bound State
• Evolution of Nuclear Spectra with Nuclear Forces
• Improved Models of Stellar Core Collapse and Still no Explosions: What is Missing?
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• Probing the High Density Behaviour of Nuclear Symmetry Energy with High Energy Heavy-Ion Collisions
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• Quantum Monte Carlo Studies of Superfluid Fermi Gases
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• Quantum Monte Carlo Calculations of Neutron Matter
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• On the pion-nucleon coupling constant
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• Screening Effects in Superfluid Nuclear and Neutron Matter within Brueckner Theory
• Spin susceptibility of neutron matter at zero temperature
• Correlations in Hot Asymmetric Nuclear Matter
• Unmasking the nuclear matter equation of state
• State Dependent Effective Interaction for the Hyperspherical Formalism with Noncentral Forces
• alpha-particle photoabsorption with a realistic nuclear force
• Neutron matter at zero temperature with auxiliary field diffusion Monte Carlo
• Neutron Drops and Skyrme Energy-Density Functionals
• Relativistic mean-field study of neutron-rich nuclei
• Ground state correlations and mean-field in ${}^{16}$O
• Cold dilute neutron matter on the lattice II: Results in the unitary limit
• Total Photoabsorption Cross Sections of A=6 Nuclei with Complete Final State Interaction
• Issues and Observations on Applications of the Constrained-Path Monte Carlo Method to Many-Fermion Systems
• Ground State Correlations in 16O and 40Ca
• Quantum Monte Carlo calculations of symmetric nuclear matter
• Nucleon-Nucleon Phase Shifts and Pairing in Neutron Matter and Nuclear Matter
• Calculation of the ${}^6$Li ground state within the hyperspherical harmonic basis
• Pair counting, pion-exchange forces, and the structure of light nuclei
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• Screening Effects on ${}^1{S}_0$ Pairing in Neutron Matter
• Auxiliary Field Diffusion Monte Carlo calculation of ground state properties of neutron drops
• Ground state of N=Z doubly closed shell nuclei in CBF theory
• Dependence of the BCS 1S0 superfluid pairing gap on nuclear interactions
• An Exact Monte Carlo Method for Continuum Fermion Systems
• Effect of P-wave interaction in 6He and 6Li photoabsorption
• Nuclear Superfluidity and Cooling Time of Neutron-Star Crust
• Lambda-Lambda bond energy from the Nijmegen potentials
• Spin-orbit and tensor interactions in homogeneous matter of nucleons: accuracy of modern many-body theories
• Neutron Matter: A Superfluid Gas
• Monte Carlo Calculation for the neutron-rich Ca isotopes
• Spin-orbit induced backflow in neutron matter with auxiliary field diffusion Monte Carlo
• Ground state of medium-heavy doubly-closed shell nuclei in correlated basis function theory
• Comment on "Ab Initio study of 40-Ca with an importance-truncated no-core shell model"
• Spin-orbit correlation energy in neutron matter
• Quadratic momentum dependence in the nucleon-nucleon interaction

Cited by in corpus (6)

• Quantum Monte Carlo methods for nuclear physics
• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Equation of state of superfluid neutron matter and the calculation of ${}^1{S}_0$ pairing gap
• Microscopic calculation of the equation of state of nuclear matter and neutron star structure
• Monte Carlo Calculation for the neutron-rich Ca isotopes
• Ab initio calculations on nuclear matter properties including the effects of three-nucleons interaction