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Towards a power counting in nuclear energy–density–functional theories through a perturbative analysis.

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Title: Towards a power counting in nuclear energy–density–functional theories through a perturbative analysis.
Authors: Burrello, Stefano1 (AUTHOR) burrello@lns.infn.it, Grasso, Marcella1 (AUTHOR), Yang, Chieh-Jen2 (AUTHOR)
Source: Physics Letters B. Dec2020, Vol. 811, pN.PAG-N.PAG. 1p.
Subjects: Nuclear density, Energy density, Density functional theory, Nuclear energy, Equations of state
Abstract: We illustrate a step towards the construction of a power counting in energy–density–functional (EDF) theories, by analyzing the equations of state (EOSs) of both symmetric and neutron matter. Within the adopted strategy, next–to–leading order (NLO) EOSs are introduced which contain renormalized first–order–type terms and an explicit second–order finite part. Employing as a guide the asymptotic behavior of the introduced renormalized parameters, we focus our analysis on two aspects: (i) With a minimum number of counterterms introduced at NLO, we show that each energy contribution entering in the EOS has a regular evolution with respect to the momentum cutoff (introduced in the adopted regularization procedure) and is found to converge to a cutoff–independent curve. The convergence features of each term are related to its Fermi–momentum dependence. (ii) We find that the asymptotic evolution of the second–order finite–part coefficients is a strong indication of a perturbative behavior, which in turns confirms that the adopted strategy is coherent with a possible underlying power counting in the chosen Skyrme–inspired EDF framework. [ABSTRACT FROM AUTHOR]
Copyright of Physics Letters B is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Towards a power counting in nuclear energy–density–functional theories through a perturbative analysis.
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  Data: <searchLink fieldCode="AR" term="%22Burrello%2C+Stefano%22">Burrello, Stefano</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> burrello@lns.infn.it</i><br /><searchLink fieldCode="AR" term="%22Grasso%2C+Marcella%22">Grasso, Marcella</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yang%2C+Chieh-Jen%22">Yang, Chieh-Jen</searchLink><relatesTo>2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Physics+Letters+B%22">Physics Letters B</searchLink>. Dec2020, Vol. 811, pN.PAG-N.PAG. 1p.
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  Data: <searchLink fieldCode="DE" term="%22Nuclear+density%22">Nuclear density</searchLink><br /><searchLink fieldCode="DE" term="%22Energy+density%22">Energy density</searchLink><br /><searchLink fieldCode="DE" term="%22Density+functional+theory%22">Density functional theory</searchLink><br /><searchLink fieldCode="DE" term="%22Nuclear+energy%22">Nuclear energy</searchLink><br /><searchLink fieldCode="DE" term="%22Equations+of+state%22">Equations of state</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We illustrate a step towards the construction of a power counting in energy–density–functional (EDF) theories, by analyzing the equations of state (EOSs) of both symmetric and neutron matter. Within the adopted strategy, next–to–leading order (NLO) EOSs are introduced which contain renormalized first–order–type terms and an explicit second–order finite part. Employing as a guide the asymptotic behavior of the introduced renormalized parameters, we focus our analysis on two aspects: (i) With a minimum number of counterterms introduced at NLO, we show that each energy contribution entering in the EOS has a regular evolution with respect to the momentum cutoff (introduced in the adopted regularization procedure) and is found to converge to a cutoff–independent curve. The convergence features of each term are related to its Fermi–momentum dependence. (ii) We find that the asymptotic evolution of the second–order finite–part coefficients is a strong indication of a perturbative behavior, which in turns confirms that the adopted strategy is coherent with a possible underlying power counting in the chosen Skyrme–inspired EDF framework. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Physics Letters B is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.physletb.2020.135938
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      – Code: eng
        Text: English
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        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Nuclear density
        Type: general
      – SubjectFull: Energy density
        Type: general
      – SubjectFull: Density functional theory
        Type: general
      – SubjectFull: Nuclear energy
        Type: general
      – SubjectFull: Equations of state
        Type: general
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      – TitleFull: Towards a power counting in nuclear energy–density–functional theories through a perturbative analysis.
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            NameFull: Grasso, Marcella
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            NameFull: Yang, Chieh-Jen
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              Text: Dec2020
              Type: published
              Y: 2020
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