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Nonlocal extension of the dispersive optical model to describe data below the Fermi energy

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Abstract
Present applications of the dispersive-optical-model analysis are restricted by the use of a local but energy-dependent version of the generalized Hartree-Fock potential. This restriction is lifted by the introduction of a corresponding nonlocal potential without explicit energy dependence. Such a strategy allows for a complete determination of the nucleon propagator below the Fermi energy with access to the expectation value of one-body operators (like the charge density), the one-body density matrix with associated natural orbits, and complete spectral functions for removal strength. The present formulation of the dispersive optical model (DOM) therefore allows the use of elastic electron-scattering data in determining its parameters. Application to Ca-40 demonstrates that a fit to the charge radius leads to too much charge near the origin using the conventional assumptions of the functional form of the DOM. A corresponding incomplete description of high-momentum components is identified, suggesting that the DOM formulation must be extended in the future to accommodate such correlations properly. Unlike the local version, the present nonlocal DOM limits the location of the deeply bound hole states to energies that are consistent with (e,e'p) and (p,2p) data.
Keywords
SINGLE-PARTICLE PROPERTIES, SHORT-RANGE CORRELATIONS, MEAN-FIELD, SHELL-MODEL, ELASTIC ELECTRON-SCATTERING, QUASI-FREE SCATTERING, NUCLEAR-STRUCTURE, MOMENT APPROACH, FINITE NUCLEI, LIQUID

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MLA
Dickhoff, WH, et al. “Nonlocal Extension of the Dispersive Optical Model to Describe Data below the Fermi Energy.” PHYSICAL REVIEW C, vol. 82, no. 5, 2010, doi:10.1103/PhysRevC.82.054306.
APA
Dickhoff, W., Van Neck, D., Waldecker, S., Charity, R., & Sobotka, L. (2010). Nonlocal extension of the dispersive optical model to describe data below the Fermi energy. PHYSICAL REVIEW C, 82(5). https://doi.org/10.1103/PhysRevC.82.054306
Chicago author-date
Dickhoff, WH, Dimitri Van Neck, SJ Waldecker, RJ Charity, and LG Sobotka. 2010. “Nonlocal Extension of the Dispersive Optical Model to Describe Data below the Fermi Energy.” PHYSICAL REVIEW C 82 (5). https://doi.org/10.1103/PhysRevC.82.054306.
Chicago author-date (all authors)
Dickhoff, WH, Dimitri Van Neck, SJ Waldecker, RJ Charity, and LG Sobotka. 2010. “Nonlocal Extension of the Dispersive Optical Model to Describe Data below the Fermi Energy.” PHYSICAL REVIEW C 82 (5). doi:10.1103/PhysRevC.82.054306.
Vancouver
1.
Dickhoff W, Van Neck D, Waldecker S, Charity R, Sobotka L. Nonlocal extension of the dispersive optical model to describe data below the Fermi energy. PHYSICAL REVIEW C. 2010;82(5).
IEEE
[1]
W. Dickhoff, D. Van Neck, S. Waldecker, R. Charity, and L. Sobotka, “Nonlocal extension of the dispersive optical model to describe data below the Fermi energy,” PHYSICAL REVIEW C, vol. 82, no. 5, 2010.
@article{1081704,
  abstract     = {{Present applications of the dispersive-optical-model analysis are restricted by the use of a local but energy-dependent version of the generalized Hartree-Fock potential. This restriction is lifted by the introduction of a corresponding nonlocal potential without explicit energy dependence. Such a strategy allows for a complete determination of the nucleon propagator below the Fermi energy with access to the expectation value of one-body operators (like the charge density), the one-body density matrix with associated natural orbits, and complete spectral functions for removal strength. The present formulation of the dispersive optical model (DOM) therefore allows the use of elastic electron-scattering data in determining its parameters. Application to Ca-40 demonstrates that a fit to the charge radius leads to too much charge near the origin using the conventional assumptions of the functional form of the DOM. A corresponding incomplete description of high-momentum components is identified, suggesting that the DOM formulation must be extended in the future to accommodate such correlations properly. Unlike the local version, the present nonlocal DOM limits the location of the deeply bound hole states to energies that are consistent with (e,e'p) and (p,2p) data.}},
  articleno    = {{054306}},
  author       = {{Dickhoff, WH and Van Neck, Dimitri and Waldecker, SJ and Charity, RJ and Sobotka, LG}},
  issn         = {{0556-2813}},
  journal      = {{PHYSICAL REVIEW C}},
  keywords     = {{SINGLE-PARTICLE PROPERTIES,SHORT-RANGE CORRELATIONS,MEAN-FIELD,SHELL-MODEL,ELASTIC ELECTRON-SCATTERING,QUASI-FREE SCATTERING,NUCLEAR-STRUCTURE,MOMENT APPROACH,FINITE NUCLEI,LIQUID}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{12}},
  title        = {{Nonlocal extension of the dispersive optical model to describe data below the Fermi energy}},
  url          = {{http://doi.org/10.1103/PhysRevC.82.054306}},
  volume       = {{82}},
  year         = {{2010}},
}

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