Towards a power counting in nuclear energy–density–functional theories through a perturbative analysis
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 firs...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Burrello, Stefano [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020transfer abstract |
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| Schlagwörter: |
Nuclear energy density functional theory |
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| Übergeordnetes Werk: |
Enthalten in: Applying the Go/NoGo processing schema to a visual oddball task in older adults - Steiner, Genevieve Z. ELSEVIER, 2016, Amsterdam |
|---|---|
| Übergeordnetes Werk: |
volume:811 ; year:2020 ; day:10 ; month:12 ; pages:0 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.physletb.2020.135938 |
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| 520 | |a 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. | ||
| 520 | |a 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. | ||
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| 700 | 1 | |a Yang, Chieh-Jen |4 oth | |
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10.1016/j.physletb.2020.135938 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001228.pica (DE-627)ELV052363066 (ELSEVIER)S0370-2693(20)30741-3 DE-627 ger DE-627 rakwb eng 610 VZ 77.50 bkl Burrello, Stefano verfasserin aut Towards a power counting in nuclear energy–density–functional theories through a perturbative analysis 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier 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. 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. Nuclear energy density functional theory Elsevier Equations of state of nuclear matter Elsevier Nuclear many-body theory Elsevier Grasso, Marcella oth Yang, Chieh-Jen oth Enthalten in North-Holland Publ Steiner, Genevieve Z. ELSEVIER Applying the Go/NoGo processing schema to a visual oddball task in older adults 2016 Amsterdam (DE-627)ELV000151122 volume:811 year:2020 day:10 month:12 pages:0 https://doi.org/10.1016/j.physletb.2020.135938 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 77.50 Psychophysiologie VZ AR 811 2020 10 1210 0 |
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10.1016/j.physletb.2020.135938 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001228.pica (DE-627)ELV052363066 (ELSEVIER)S0370-2693(20)30741-3 DE-627 ger DE-627 rakwb eng 610 VZ 77.50 bkl Burrello, Stefano verfasserin aut Towards a power counting in nuclear energy–density–functional theories through a perturbative analysis 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier 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. 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. Nuclear energy density functional theory Elsevier Equations of state of nuclear matter Elsevier Nuclear many-body theory Elsevier Grasso, Marcella oth Yang, Chieh-Jen oth Enthalten in North-Holland Publ Steiner, Genevieve Z. ELSEVIER Applying the Go/NoGo processing schema to a visual oddball task in older adults 2016 Amsterdam (DE-627)ELV000151122 volume:811 year:2020 day:10 month:12 pages:0 https://doi.org/10.1016/j.physletb.2020.135938 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 77.50 Psychophysiologie VZ AR 811 2020 10 1210 0 |
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10.1016/j.physletb.2020.135938 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001228.pica (DE-627)ELV052363066 (ELSEVIER)S0370-2693(20)30741-3 DE-627 ger DE-627 rakwb eng 610 VZ 77.50 bkl Burrello, Stefano verfasserin aut Towards a power counting in nuclear energy–density–functional theories through a perturbative analysis 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier 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. 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. Nuclear energy density functional theory Elsevier Equations of state of nuclear matter Elsevier Nuclear many-body theory Elsevier Grasso, Marcella oth Yang, Chieh-Jen oth Enthalten in North-Holland Publ Steiner, Genevieve Z. ELSEVIER Applying the Go/NoGo processing schema to a visual oddball task in older adults 2016 Amsterdam (DE-627)ELV000151122 volume:811 year:2020 day:10 month:12 pages:0 https://doi.org/10.1016/j.physletb.2020.135938 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 77.50 Psychophysiologie VZ AR 811 2020 10 1210 0 |
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10.1016/j.physletb.2020.135938 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001228.pica (DE-627)ELV052363066 (ELSEVIER)S0370-2693(20)30741-3 DE-627 ger DE-627 rakwb eng 610 VZ 77.50 bkl Burrello, Stefano verfasserin aut Towards a power counting in nuclear energy–density–functional theories through a perturbative analysis 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier 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. 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. Nuclear energy density functional theory Elsevier Equations of state of nuclear matter Elsevier Nuclear many-body theory Elsevier Grasso, Marcella oth Yang, Chieh-Jen oth Enthalten in North-Holland Publ Steiner, Genevieve Z. ELSEVIER Applying the Go/NoGo processing schema to a visual oddball task in older adults 2016 Amsterdam (DE-627)ELV000151122 volume:811 year:2020 day:10 month:12 pages:0 https://doi.org/10.1016/j.physletb.2020.135938 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 77.50 Psychophysiologie VZ AR 811 2020 10 1210 0 |
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10.1016/j.physletb.2020.135938 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001228.pica (DE-627)ELV052363066 (ELSEVIER)S0370-2693(20)30741-3 DE-627 ger DE-627 rakwb eng 610 VZ 77.50 bkl Burrello, Stefano verfasserin aut Towards a power counting in nuclear energy–density–functional theories through a perturbative analysis 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier 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. 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. Nuclear energy density functional theory Elsevier Equations of state of nuclear matter Elsevier Nuclear many-body theory Elsevier Grasso, Marcella oth Yang, Chieh-Jen oth Enthalten in North-Holland Publ Steiner, Genevieve Z. ELSEVIER Applying the Go/NoGo processing schema to a visual oddball task in older adults 2016 Amsterdam (DE-627)ELV000151122 volume:811 year:2020 day:10 month:12 pages:0 https://doi.org/10.1016/j.physletb.2020.135938 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 77.50 Psychophysiologie VZ AR 811 2020 10 1210 0 |
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Enthalten in Applying the Go/NoGo processing schema to a visual oddball task in older adults Amsterdam volume:811 year:2020 day:10 month:12 pages:0 |
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Applying the Go/NoGo processing schema to a visual oddball task in older adults |
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Applying the Go/NoGo processing schema to a visual oddball task in older adults |
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towards a power counting in nuclear energy–density–functional theories through a perturbative analysis |
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Towards a power counting in nuclear energy–density–functional theories through a perturbative analysis |
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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. |
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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. |
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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. |
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