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Variational Monte Carlo calculations of few-body nuclei

Description: The variational Monte Carlo method is described. Results for the binding energies, density distributions, momentum distributions, and static longitudinal structure functions of the /sup 3/H, /sup 3/He, and /sup 4/He ground states, and for the energies of the low-lying scattering states in /sup 4/He are presented. 25 refs., 3 figs.
Date: January 1, 1986
Creator: Wiringa, R. B.
Partner: UNT Libraries Government Documents Department
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Relativistic effects in the binding energies of few-body nuclei

Description: We have examined the consequences of Poincare invariance for the binding-energy calculations of few-body nuclei. Nonrelativistic Hamiltonians have been considered in an attempt to fit simultaneously the binding energies of 2-, 3-, 4-body nuclei and that of nuclear matter. Even with reasonable three-body forces it appears to be difficult to simultaneously fit the binding energies of 3- and 4-body nuclei. The size of the discrepancy is of the order of possible relativistic effects. After eliminat… more
Date: January 1, 1983
Creator: Coester, F. & Wiringa, R.B.
Partner: UNT Libraries Government Documents Department
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Microscopic calculations of nuclear structure and nuclear correlations

Description: A major goal in nuclear physics is to understand how nuclear structure comes about from the underlying interactions between nucleons. This requires modelling nuclei as collections of strongly interacting particles. Using realistic nucleon-nucleon potentials, supplemented with consistent three-nucleon potentials and two-body electroweak current operators, variational Monte Carlo methods are used to calculate nuclear ground-state properties, such as the binding energy, electromagnetic form factor… more
Date: January 1, 1992
Creator: Wiringa, R.B.
Partner: UNT Libraries Government Documents Department
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Monte Carlo calculations of few-body and light nuclei

Description: A major goal in nuclear physics is to understand how nuclear structure comes about from the underlying interactions between nucleons. This requires modelling nuclei as collections of strongly interacting particles. Using realistic nucleon-nucleon potentials, supplemented with consistent three-nucleon potentials and two-body electroweak current operators, variational Monte Carlo methods are used to calculate nuclear ground-state properties, such as the binding energy, electromagnetic form factor… more
Date: January 1, 1992
Creator: Wiringa, R.B.
Partner: UNT Libraries Government Documents Department
open access

Microscopic calculations of nuclear structure and nuclear correlations

Description: A major goal in nuclear physics is to understand how nuclear structure comes about from the underlying interactions between nucleons. This requires modelling nuclei as collections of strongly interacting particles. Using realistic nucleon-nucleon potentials, supplemented with consistent three-nucleon potentials and two-body electroweak current operators, variational Monte Carlo methods are used to calculate nuclear ground-state properties, such as the binding energy, electromagnetic form factor… more
Date: July 1, 1992
Creator: Wiringa, R. B.
Partner: UNT Libraries Government Documents Department
open access

Quantum Monte Carlo calculations for light nuclei.

Description: Quantum Monte Carlo calculations of ground and low-lying excited states for nuclei with A {le} 8 are made using a realistic Hamiltonian that fits NN scattering data. Results for more than 40 different (J{pi}, T) states, plus isobaric analogs, are obtained and the known excitation spectra are reproduced reasonably well. Various density and momentum distributions and electromagnetic form factors and moments have also been computed. These are the first microscopic calculations that directly produc… more
Date: October 23, 1998
Creator: Wiringa, R. B.
Partner: UNT Libraries Government Documents Department
open access

Monte Carlo calculations of few-body and light nuclei

Description: A major goal in nuclear physics is to understand how nuclear structure comes about from the underlying interactions between nucleons. This requires modelling nuclei as collections of strongly interacting particles. Using realistic nucleon-nucleon potentials, supplemented with consistent three-nucleon potentials and two-body electroweak current operators, variational Monte Carlo methods are used to calculate nuclear ground-state properties, such as the binding energy, electromagnetic form factor… more
Date: February 1, 1992
Creator: Wiringa, R. B.
Partner: UNT Libraries Government Documents Department
open access

Quantum Monte Carlo calculations for light nuclei

Description: Quantum Monte Carlo calculations of ground and low-lying excited states for nuclei with A {le} 8 have been made using a realistic Hamiltonian that fits NN scattering data. Results for more than two dozen different (J{sup {pi}}, T) p-shell states, not counting isobaric analogs, have been obtained. The known excitation spectra of all the nuclei are reproduced reasonably well. Density and momentum distributions and various electromagnetic moments and form factors have also been computed. These are… more
Date: October 1, 1997
Creator: Wiringa, R.B.
Partner: UNT Libraries Government Documents Department
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Nucleon-nucleon interactions

Description: Nucleon-nucleon interactions are at the heart of nuclear physics, bridging the gap between QCD and the effective interactions appropriate for the shell model. We discuss the current status of {ital NN} data sets, partial-wave analyses, and some of the issues that go into the construction of potential models. Our remarks are illustrated by reference to the Argonne {ital v}{sub 18} potential, one of a number of new potentials that fit elastic nucleon-nucleon data up to 350 MeV with a {Chi}{sup 2}… more
Date: December 31, 1996
Creator: Wiringa, R.B.
Partner: UNT Libraries Government Documents Department
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Quantum Monte Carlo Calculations for Light Nuclei

Description: Quantum Monte Carlo calculations of ground and low-lying excited states for nuclei with A {le} 8 are made using a realistic Hamiltonian that fits NN scattering data. Results for more than 30 different (j{sup {prime}}, T) states, plus isobaric analogs, are obtained and the known excitation spectra are reproduced reasonably well. Various density and momentum distributions and electromagnetic form factors and moments have also been computed. These are the first microscopic calculations that direct… more
Date: August 1, 1998
Creator: Wiringa, R. B.
Partner: UNT Libraries Government Documents Department
open access

Monte Carlo approaches to the few-nucleon continuum

Description: Variational and Green`s Function Monte Carlo methods are reviewed as applied to the study of the few-nucleon continuum at low- and intermediate-energies. Results recently obtained for the radiative and weak capture reactions n + {sup 3}He {yields} {sup 4}He + {gamma} and p + {sup 3}He {yields} {sup 4}He + e{sup +} + {nu}{sub e}, the {sup 5}He P-wave resonances, and the inclusive and exclusive electron scattering reactions on {sup 3}H and the helium isotopes are summarized.
Date: August 1, 1994
Creator: Schiavilla, R.; Carlson, J. & Wiringa, R. B.
Partner: UNT Libraries Government Documents Department
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Weak Transitions in A=6 and 7 Nuclei

Description: The {sup 6}He beta decay and {sup 7}Be electron capture processes are studied using variational Monte Carlo wave functions, derived from a realistic Hamiltonian consisting of the Argonne upsilon{sub 18} two-nucleon and Urbana-IX three-nucleon interactions. The model for the nuclear weak axial current includes one- and two-body operators with the strength of the leading two-body term - associated with Delta-isobar excitation of the nucleon -- adjusted to reproduce the Gamow-Teller matrix element… more
Date: January 1, 2001
Creator: Schiavilla, R. & Wiringa, R.B.
Partner: UNT Libraries Government Documents Department
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Proceedings of a Symposium on the Occasion of the 40th Anniversary of the Nuclear Shell Model

Description: This report contains papers on the following topics: excitation of 1p-1h stretched states with the (p,n) reaction as a test of shell-model calculations; on Z=64 shell closure and some high spin states of {sup 149}Gd and {sup 159}Ho; saturating interactions in {sup 4}He with density dependence; are short-range correlations visible in very large-basis shell-model calculations ; recent and future applications of the shell model in the continuum; shell model truncation schemes for rotational nuclei… more
Date: March 1, 1990
Creator: Lee, T. S. H. & Wiringa, R. B.
Partner: UNT Libraries Government Documents Department
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A six-body calculation of the alpha-deuteron radiative capture cross section

Description: The authors have computed the cross section for the process d + alpha -> {sup 6}Li + gamma at the low energies relevant for primordial nucleosynthesis and comparison with laboratory data. The final state is a six-body wave function generated by the variational Monte Carlo method from the Argonne v-18 and Urbana IX potentials, including improved treatment of large-particle-separation behavior. The initial state is built up from the alpha-particle and deuteron ground-state solutions for these … more
Date: September 1, 2000
Creator: Nollett, K. M.; Wiringa, R. B. & Schiavilla, R.
Partner: UNT Libraries Government Documents Department
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Charge-independence-breaking in the triton

Description: We find the effect of the observed charge-independence-breaking in {sup 1}S{sub 0} nucleon-nucleon scattering on the binding energy of the triton to be of order 80 keV. When corrections for this effect are made in an 18-channel momentum-space Faddeev calculation, we find the Paris and Argonne v{sub 14} potentials triton binding energies that differ by only 20 keV.
Date: January 1, 1990
Creator: Gloeckle, W.; Lee, T. S. H. & Wiringa, R. B.
Partner: UNT Libraries Government Documents Department
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An accurate nucleon-nucleon potential with charge-independence breaking

Description: The authors present a new high-quality nucleon-nucleon potential with explicit charge dependence and charge asymmetry, which they designate Argonne {upsilon}{sub 18}. The model has a charge-independent part with fourteen operator components that is an updated version of the Argonne {upsilon}{sub 14} potential. Three additional charge-dependent and one charge-asymmetric operators are added, along with a complete electromagnetic interaction. The potential has been fit directly to the Nijmegen pp … more
Date: August 1, 1994
Creator: Wiringa, R. B.; Stoks, V. G. J. & Schiavilla, R.
Partner: UNT Libraries Government Documents Department
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Femtometer toroidal structures in nuclei

Description: The two-nucleon density distributions in states with isospin T=0, spin S=1 and projection M{sub S}=0 and {+-}1 are studied in {sup 2}H, {sup 3,4}He, {sup 6,7}Li and {sup 16}O. The equidensity surfaces for M{sub S}=0 distributions are found to be toroidal in shape, while those of M{sub S}={+-}1 have dumbbell shapes at large density. The dumbbell shapes are generated by rotating tori. The toroidal shapes indicate that the tensor correlations have near maximal strength at r < 2 fm in all these … more
Date: March 1, 1996
Creator: Forest, J.; Pandharipande, V.; Pieper, S.; Wiringa, R.B.; Shiavilla, R. & Arriaga, A.
Partner: UNT Libraries Government Documents Department
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Variational theory of nuclear and neutron matter

Description: In these lectures we will discuss attempts to solve the A = 3 to {infinity} nuclear many-body problems with the variational method. We choose the form of a variational wave function {Chi}{sub v}(1, 2{hor ellipsis}A) to describe the ground state. The {Chi}{sub v} and the ground-state energy E{sub v} are obtained by minimizing E{sub v} = {l angle}{Chi}{sub v}{vert bar}H{vert bar}{Chi}{sub v}{r angle}/{l angle}{Chi}{sub v}{vert bar}{Chi}{sub v}{r angle} with respect to variations in {Chi}{sub v}. … more
Date: June 1, 1989
Creator: Pandharipande, V.R.; Wiringa, R.B. (Illinois Univ., Urbana, IL (USA). Dept. of Physics & Argonne National Lab., IL (USA))
Partner: UNT Libraries Government Documents Department
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