Demonstration of the auxiliary-field Monte Carlo approach for<i>sd</i>-shell nuclei

Ormand, W. E.; Dean, D. J.; Johnson, C. W.; Lang, G. H.; Koonin, S. E.

doi:10.1103/physrevc.49.1422

Cited by 77 publications

(87 citation statements)

References 7 publications

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“…A detailed discussion of the SMMC method can be found in [44]. Based on a statistical formulation of the nuclear many-body problem in the finite-temperature version of this approach, an observable is calculated as the canonical expectation value of a corresponding operatorÂ by the SMMC method at a given temperature T , and is written by [45][46][47][48] …”

Section: The Smmc Methods and Gamow-teller Response Functionsmentioning

confidence: 99%

Magnetar crust electron capture for $$^{55}$$ 55 Co and $$^{56}$$ 56

Liu

2018

Eur. Phys. J. C

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Based on the relativistic mean-field effective interaction principle and random phase approximation theory in superstrong magnetic fields (SMFs), we present an analysis of the influence of SMFs on the electron Fermi energy, nuclear blinding energy, single-particle level structure and electron capture for 55 Co, and 56 Ni by the shell-model Monte Carlo method in the magnetar's crust. The electron capture rates increase by two orders of magnitude due to an increase in the electron Fermi energy and a change in single-particle level structure by SMFs. Then the rates decrease by more than two orders of magnitude due to an increase in the nuclear binding energy and a reduction in the electron Fermi energy by SMFs.

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Section: The Smmc Methods and Gamow-teller Response Functionsmentioning

confidence: 99%

Magnetar crust electron capture for $$^{55}$$ 55 Co and $$^{56}$$ 56

Liu

2018

Eur. Phys. J. C

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“…This can be achieved through particle-number projection [51]. For example, the partition function for A particles in N s single-particle orbitals is given by…”

Section: Quantum Monte Carlo Methodsmentioning

confidence: 99%

Mesoscopic effects in quantum dots, nanoparticles and nuclei

Alhassid¹

2005

AIP Conference Proceedings

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Abstract. We discuss mesoscopic effects in quantum dots, nanoparticles and nuclei. In quantum dots, we focus on the statistical regime of dots whose single-electron dynamics are chaotic. Random matrix theory methods, developed to explain the statistics of neutron resonances in compound nuclei, are useful in describing the mesoscopic fluctuations of the conductance in such dots. However, correlation effects beyond the charging energy are important in almost-isolated dots. In particular, exchange and residual interactions are necessary to obtain a quantitative description of the mesoscopic fluctuations. Pairing correlations are important in metallic nanoparticles and nuclei. Nanoparticles smaller than ∼ 3 nm and nuclei are close to the fluctuation-dominated regime in which the Bardeen-Cooper-Schrieffer theory is not valid. Despite the large fluctuations, we find signatures of pairing correlations in the heat capacity of nuclei. These signatures depend on the particle-number parity of protons and neutrons.

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“…We computed the deformation parameters β, γ for the unprojected Hartree-Fock state by diagonalizing the mass quadrupole tensor of the valence particles, as described by Ormand et al [17]. For the interactions we chose the exact Hamiltonians (USD and KB3), the exact Hamiltonians with the single-particle spin-orbit splitting removed (USD-nls and KB3-nls), and the SU(3) secondorder Casimir.…”

Section: Ground State Geometrymentioning

confidence: 99%

SU(3) versus deformed Hartree-Fock state

2002

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Deformation is fundamental to understanding nuclear structure. We compare two ways to efficiently realize deformation for many-fermion wavefunctions, the leading SU(3) irrep and the angularmomentum projected Hartree-Fock state. In the absence of single-particle spin-orbit splitting the two are nearly identical. With realistic forces, however, the difference between the two is non-trivial, with the angular-momentum projected Hartree-Fock state better approximating an "exact" wavefunction calculated in the fully interacting shell model. The difference is driven almost entirely by the single-particle spin-orbit splitting.

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Demonstration of the auxiliary-field Monte Carlo approach forsd-shell nuclei

Cited by 77 publications

References 7 publications

Magnetar crust electron capture for $$^{55}$$ 55 Co and $$^{56}$$ 56

Magnetar crust electron capture for $$^{55}$$ 55 Co and $$^{56}$$ 56

Mesoscopic effects in quantum dots, nanoparticles and nuclei

SU(3) versus deformed Hartree-Fock state

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