Variational Monte Carlo Calculations of {sup 3}He and {sup 4}He with a Relativistic Hamiltonian - II

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In relativistic Hamiltonians the two-nucleon interaction is expressed as a sum of {tilde v}{sub ij}, the interaction in the P{sub ij}=0 rest frame, and the ''boost interaction'' {delta}v(P{sub ij}) which depends upon the total momentum P{sub ij} and vanishes in the rest frame. The {delta}v can be regarded as a sum of four terms: {delta}v{sub RE}, {delta}v{sub LC}, {delta}v{sub TP} and {delta}v{sub QM}; the first three originate from the relativistic energy-momentum relation, Lorentz contraction and Thomas precession, while the last is purely quantum. The contributions of {delta}v{sub RE} and {delta}v{sub LC} have been previously calculated with the variational Monte Carlo ... continued below

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Forest, J.L.; Pandharipande, V.R.; Carlson, J. & Schiavilla, R. October 1, 1994.

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In relativistic Hamiltonians the two-nucleon interaction is expressed as a sum of {tilde v}{sub ij}, the interaction in the P{sub ij}=0 rest frame, and the ''boost interaction'' {delta}v(P{sub ij}) which depends upon the total momentum P{sub ij} and vanishes in the rest frame. The {delta}v can be regarded as a sum of four terms: {delta}v{sub RE}, {delta}v{sub LC}, {delta}v{sub TP} and {delta}v{sub QM}; the first three originate from the relativistic energy-momentum relation, Lorentz contraction and Thomas precession, while the last is purely quantum. The contributions of {delta}v{sub RE} and {delta}v{sub LC} have been previously calculated with the variational Monte Carlo method for {sup 3}H and {sup 4}He. In this brief note we report the results of similar calculations for the contributions of {delta}v{sub TP} and {delta}v{sub QM}. These are found to be rather small.

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85 Kilobytes pages

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  • Report No.: CEBAF-TH-94-31
  • Report No.: DOE/ER/40150-1826
  • Report No.: nucl-th/9410013
  • Grant Number: AC05-84ER40150
  • Office of Scientific & Technical Information Report Number: 777310
  • Archival Resource Key: ark:/67531/metadc715519

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  • October 1, 1994

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  • Sept. 29, 2015, 5:31 a.m.

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  • Feb. 5, 2016, 9 p.m.

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Forest, J.L.; Pandharipande, V.R.; Carlson, J. & Schiavilla, R. Variational Monte Carlo Calculations of {sup 3}He and {sup 4}He with a Relativistic Hamiltonian - II, article, October 1, 1994; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc715519/: accessed December 12, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.