Particle-Hole State Density Calculations with Non-Equidistant Spacing Model: I. Basic Derivation
The basic analytical formula for particle-hole state densities is derived based on the non-Equidistant Spacing Model (non-ESM) for the single-particle level density (s.p.l.d.) dependence on particle excitation energy u. Two methods are illustrated in this work, the first depends on Taylor series exp...
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| Autor*in: |
Ahmed Abdul-Razzaq Selman [verfasserIn] |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2010 |
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| Schlagwörter: |
Level Density Single-Particle Level Density Statistical Compound Nucleus Reactions |
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| Übergeordnetes Werk: |
In: Iraqi Journal of Physics - University of Baghdad, 2022, 8(2010), 13 |
|---|---|
| Übergeordnetes Werk: |
volume:8 ; year:2010 ; number:13 |
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DOAJ08862479X |
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| 520 | |a The basic analytical formula for particle-hole state densities is derived based on the non-Equidistant Spacing Model (non-ESM) for the single-particle level density (s.p.l.d.) dependence on particle excitation energy u. Two methods are illustrated in this work, the first depends on Taylor series expansion of the s.p.l.d. about u, while the second uses direct analytical derivation of the state density formula. This treatment is applied for a system composing from one kind of fermions and for uncorrected physical system. The important corrections due to Pauli blocking was added to the present formula. Analytical comparisons with the standard formulae for ESM are made and it is shown that the solution reduces to earlier formulae providing more general way to calculate state density. Numerical calculations then are made and the results show that state density behavior with excitation energy deviates from Ericson’s and Williams’ formulae types, especially at higher excitation energies | ||
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(DE-627)DOAJ08862479X (DE-599)DOAJ6cad4910254b4f1f84053ee8b825c839 DE-627 ger DE-627 rakwb eng QC1-999 Ahmed Abdul-Razzaq Selman verfasserin aut Particle-Hole State Density Calculations with Non-Equidistant Spacing Model: I. Basic Derivation 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The basic analytical formula for particle-hole state densities is derived based on the non-Equidistant Spacing Model (non-ESM) for the single-particle level density (s.p.l.d.) dependence on particle excitation energy u. Two methods are illustrated in this work, the first depends on Taylor series expansion of the s.p.l.d. about u, while the second uses direct analytical derivation of the state density formula. This treatment is applied for a system composing from one kind of fermions and for uncorrected physical system. The important corrections due to Pauli blocking was added to the present formula. Analytical comparisons with the standard formulae for ESM are made and it is shown that the solution reduces to earlier formulae providing more general way to calculate state density. Numerical calculations then are made and the results show that state density behavior with excitation energy deviates from Ericson’s and Williams’ formulae types, especially at higher excitation energies Level Density Single-Particle Level Density Statistical Compound Nucleus Reactions Physics In Iraqi Journal of Physics University of Baghdad, 2022 8(2010), 13 (DE-627)DOAJ078601851 26645548 nnns volume:8 year:2010 number:13 https://doaj.org/article/6cad4910254b4f1f84053ee8b825c839 kostenfrei https://ijp.uobaghdad.edu.iq/index.php/physics/article/view/828 kostenfrei https://doaj.org/toc/2070-4003 Journal toc kostenfrei https://doaj.org/toc/2664-5548 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA AR 8 2010 13 |
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(DE-627)DOAJ08862479X (DE-599)DOAJ6cad4910254b4f1f84053ee8b825c839 DE-627 ger DE-627 rakwb eng QC1-999 Ahmed Abdul-Razzaq Selman verfasserin aut Particle-Hole State Density Calculations with Non-Equidistant Spacing Model: I. Basic Derivation 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The basic analytical formula for particle-hole state densities is derived based on the non-Equidistant Spacing Model (non-ESM) for the single-particle level density (s.p.l.d.) dependence on particle excitation energy u. Two methods are illustrated in this work, the first depends on Taylor series expansion of the s.p.l.d. about u, while the second uses direct analytical derivation of the state density formula. This treatment is applied for a system composing from one kind of fermions and for uncorrected physical system. The important corrections due to Pauli blocking was added to the present formula. Analytical comparisons with the standard formulae for ESM are made and it is shown that the solution reduces to earlier formulae providing more general way to calculate state density. Numerical calculations then are made and the results show that state density behavior with excitation energy deviates from Ericson’s and Williams’ formulae types, especially at higher excitation energies Level Density Single-Particle Level Density Statistical Compound Nucleus Reactions Physics In Iraqi Journal of Physics University of Baghdad, 2022 8(2010), 13 (DE-627)DOAJ078601851 26645548 nnns volume:8 year:2010 number:13 https://doaj.org/article/6cad4910254b4f1f84053ee8b825c839 kostenfrei https://ijp.uobaghdad.edu.iq/index.php/physics/article/view/828 kostenfrei https://doaj.org/toc/2070-4003 Journal toc kostenfrei https://doaj.org/toc/2664-5548 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA AR 8 2010 13 |
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(DE-627)DOAJ08862479X (DE-599)DOAJ6cad4910254b4f1f84053ee8b825c839 DE-627 ger DE-627 rakwb eng QC1-999 Ahmed Abdul-Razzaq Selman verfasserin aut Particle-Hole State Density Calculations with Non-Equidistant Spacing Model: I. Basic Derivation 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The basic analytical formula for particle-hole state densities is derived based on the non-Equidistant Spacing Model (non-ESM) for the single-particle level density (s.p.l.d.) dependence on particle excitation energy u. Two methods are illustrated in this work, the first depends on Taylor series expansion of the s.p.l.d. about u, while the second uses direct analytical derivation of the state density formula. This treatment is applied for a system composing from one kind of fermions and for uncorrected physical system. The important corrections due to Pauli blocking was added to the present formula. Analytical comparisons with the standard formulae for ESM are made and it is shown that the solution reduces to earlier formulae providing more general way to calculate state density. Numerical calculations then are made and the results show that state density behavior with excitation energy deviates from Ericson’s and Williams’ formulae types, especially at higher excitation energies Level Density Single-Particle Level Density Statistical Compound Nucleus Reactions Physics In Iraqi Journal of Physics University of Baghdad, 2022 8(2010), 13 (DE-627)DOAJ078601851 26645548 nnns volume:8 year:2010 number:13 https://doaj.org/article/6cad4910254b4f1f84053ee8b825c839 kostenfrei https://ijp.uobaghdad.edu.iq/index.php/physics/article/view/828 kostenfrei https://doaj.org/toc/2070-4003 Journal toc kostenfrei https://doaj.org/toc/2664-5548 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA AR 8 2010 13 |
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(DE-627)DOAJ08862479X (DE-599)DOAJ6cad4910254b4f1f84053ee8b825c839 DE-627 ger DE-627 rakwb eng QC1-999 Ahmed Abdul-Razzaq Selman verfasserin aut Particle-Hole State Density Calculations with Non-Equidistant Spacing Model: I. Basic Derivation 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The basic analytical formula for particle-hole state densities is derived based on the non-Equidistant Spacing Model (non-ESM) for the single-particle level density (s.p.l.d.) dependence on particle excitation energy u. Two methods are illustrated in this work, the first depends on Taylor series expansion of the s.p.l.d. about u, while the second uses direct analytical derivation of the state density formula. This treatment is applied for a system composing from one kind of fermions and for uncorrected physical system. The important corrections due to Pauli blocking was added to the present formula. Analytical comparisons with the standard formulae for ESM are made and it is shown that the solution reduces to earlier formulae providing more general way to calculate state density. Numerical calculations then are made and the results show that state density behavior with excitation energy deviates from Ericson’s and Williams’ formulae types, especially at higher excitation energies Level Density Single-Particle Level Density Statistical Compound Nucleus Reactions Physics In Iraqi Journal of Physics University of Baghdad, 2022 8(2010), 13 (DE-627)DOAJ078601851 26645548 nnns volume:8 year:2010 number:13 https://doaj.org/article/6cad4910254b4f1f84053ee8b825c839 kostenfrei https://ijp.uobaghdad.edu.iq/index.php/physics/article/view/828 kostenfrei https://doaj.org/toc/2070-4003 Journal toc kostenfrei https://doaj.org/toc/2664-5548 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA AR 8 2010 13 |
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The basic analytical formula for particle-hole state densities is derived based on the non-Equidistant Spacing Model (non-ESM) for the single-particle level density (s.p.l.d.) dependence on particle excitation energy u. Two methods are illustrated in this work, the first depends on Taylor series expansion of the s.p.l.d. about u, while the second uses direct analytical derivation of the state density formula. This treatment is applied for a system composing from one kind of fermions and for uncorrected physical system. The important corrections due to Pauli blocking was added to the present formula. Analytical comparisons with the standard formulae for ESM are made and it is shown that the solution reduces to earlier formulae providing more general way to calculate state density. Numerical calculations then are made and the results show that state density behavior with excitation energy deviates from Ericson’s and Williams’ formulae types, especially at higher excitation energies |
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The basic analytical formula for particle-hole state densities is derived based on the non-Equidistant Spacing Model (non-ESM) for the single-particle level density (s.p.l.d.) dependence on particle excitation energy u. Two methods are illustrated in this work, the first depends on Taylor series expansion of the s.p.l.d. about u, while the second uses direct analytical derivation of the state density formula. This treatment is applied for a system composing from one kind of fermions and for uncorrected physical system. The important corrections due to Pauli blocking was added to the present formula. Analytical comparisons with the standard formulae for ESM are made and it is shown that the solution reduces to earlier formulae providing more general way to calculate state density. Numerical calculations then are made and the results show that state density behavior with excitation energy deviates from Ericson’s and Williams’ formulae types, especially at higher excitation energies |
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The basic analytical formula for particle-hole state densities is derived based on the non-Equidistant Spacing Model (non-ESM) for the single-particle level density (s.p.l.d.) dependence on particle excitation energy u. Two methods are illustrated in this work, the first depends on Taylor series expansion of the s.p.l.d. about u, while the second uses direct analytical derivation of the state density formula. This treatment is applied for a system composing from one kind of fermions and for uncorrected physical system. The important corrections due to Pauli blocking was added to the present formula. Analytical comparisons with the standard formulae for ESM are made and it is shown that the solution reduces to earlier formulae providing more general way to calculate state density. Numerical calculations then are made and the results show that state density behavior with excitation energy deviates from Ericson’s and Williams’ formulae types, especially at higher excitation energies |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">DOAJ08862479X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230501211128.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">230410s2010 xx |||||o 00| ||eng c</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)DOAJ08862479X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DOAJ6cad4910254b4f1f84053ee8b825c839</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC1-999</subfield></datafield><datafield tag="100" ind1="0" ind2=" "><subfield code="a">Ahmed Abdul-Razzaq Selman</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Particle-Hole State Density Calculations with Non-Equidistant Spacing Model: I. Basic Derivation</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2010</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The basic analytical formula for particle-hole state densities is derived based on the non-Equidistant Spacing Model (non-ESM) for the single-particle level density (s.p.l.d.) dependence on particle excitation energy u. Two methods are illustrated in this work, the first depends on Taylor series expansion of the s.p.l.d. about u, while the second uses direct analytical derivation of the state density formula. This treatment is applied for a system composing from one kind of fermions and for uncorrected physical system. The important corrections due to Pauli blocking was added to the present formula. Analytical comparisons with the standard formulae for ESM are made and it is shown that the solution reduces to earlier formulae providing more general way to calculate state density. 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