Statistical properties of Kawai-Kerman-McVoy T-matrix

G. Arbanas; C. Bertulani; D. J. Dean; A. K. Kerman

doi:10.1063/1.2920721

Statistical properties of Kawai-Kerman-McVoy T-matrix

G. Arbanas, C. Bertulani, D. J. Dean, A. K. Kerman

Nuclear Data

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 Scopus citations

Abstract

Kawai, Kerman and McVoy (KKM) derived an optical background-plus- fluctuations representation of T-matrix, T = T^0pt + T^fluct so that an energy average of T^fluct over a single-particle resonance width is expected to be negligibly small (Ann. of Phys. 75, 156 [1973]). We investigate this property numerically in a simple model with 1,600 compound nuclear levels and 40 channels, coupled via a random interaction. We find that the energy average of the fluctuating term is much smaller than the optical background, T^opt, in support of the KKM result. A self-contained derivation of KKM T-matrix is presented.

Original language	English
Title of host publication	COMPOUND-NUCLEAR REACTIONS AND RELATED TOPICS - Proceedings of the 2007 International Workshop onCompound-Nuclear Reactions and Related Topics(CNR 2007)
Pages	160-163
Number of pages	4
DOIs	https://doi.org/10.1063/1.2920721
State	Published - 2008
Event	2007 International Workshop on Compound-Nuclear Reactions and Related Topics, CNR 2007 - Yosemite National Park, CA, United States Duration: Oct 22 2007 → Oct 26 2007

Publication series

Name	AIP Conference Proceedings
Volume	1005
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	2007 International Workshop on Compound-Nuclear Reactions and Related Topics, CNR 2007
Country/Territory	United States
City	Yosemite National Park, CA
Period	10/22/07 → 10/26/07

Keywords

Compound resonance
Energy averaging
Fluctuations
Optical background
Statistical nuclear reactions

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10.1063/1.2920721

Cite this

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title = "Statistical properties of Kawai-Kerman-McVoy T-matrix",

abstract = "Kawai, Kerman and McVoy (KKM) derived an optical background-plus- fluctuations representation of T-matrix, T = T0pt + Tfluct so that an energy average of Tfluct over a single-particle resonance width is expected to be negligibly small (Ann. of Phys. 75, 156 [1973]). We investigate this property numerically in a simple model with 1,600 compound nuclear levels and 40 channels, coupled via a random interaction. We find that the energy average of the fluctuating term is much smaller than the optical background, Topt, in support of the KKM result. A self-contained derivation of KKM T-matrix is presented.",

keywords = "Compound resonance, Energy averaging, Fluctuations, Optical background, Statistical nuclear reactions",

author = "G. Arbanas and C. Bertulani and Dean, {D. J.} and Kerman, {A. K.}",

year = "2008",

doi = "10.1063/1.2920721",

language = "English",

isbn = "9780735405240",

series = "AIP Conference Proceedings",

pages = "160--163",

booktitle = "COMPOUND-NUCLEAR REACTIONS AND RELATED TOPICS - Proceedings of the 2007 International Workshop onCompound-Nuclear Reactions and Related Topics(CNR 2007)",

note = "2007 International Workshop on Compound-Nuclear Reactions and Related Topics, CNR 2007 ; Conference date: 22-10-2007 Through 26-10-2007",

}

Arbanas, G, Bertulani, C, Dean, DJ & Kerman, AK 2008, Statistical properties of Kawai-Kerman-McVoy T-matrix. in COMPOUND-NUCLEAR REACTIONS AND RELATED TOPICS - Proceedings of the 2007 International Workshop onCompound-Nuclear Reactions and Related Topics(CNR 2007). AIP Conference Proceedings, vol. 1005, pp. 160-163, 2007 International Workshop on Compound-Nuclear Reactions and Related Topics, CNR 2007, Yosemite National Park, CA, United States, 10/22/07. https://doi.org/10.1063/1.2920721

Statistical properties of Kawai-Kerman-McVoy T-matrix. / Arbanas, G.; Bertulani, C.; Dean, D. J. et al.
COMPOUND-NUCLEAR REACTIONS AND RELATED TOPICS - Proceedings of the 2007 International Workshop onCompound-Nuclear Reactions and Related Topics(CNR 2007). 2008. p. 160-163 (AIP Conference Proceedings; Vol. 1005).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Statistical properties of Kawai-Kerman-McVoy T-matrix

AU - Arbanas, G.

AU - Bertulani, C.

AU - Dean, D. J.

AU - Kerman, A. K.

PY - 2008

Y1 - 2008

N2 - Kawai, Kerman and McVoy (KKM) derived an optical background-plus- fluctuations representation of T-matrix, T = T0pt + Tfluct so that an energy average of Tfluct over a single-particle resonance width is expected to be negligibly small (Ann. of Phys. 75, 156 [1973]). We investigate this property numerically in a simple model with 1,600 compound nuclear levels and 40 channels, coupled via a random interaction. We find that the energy average of the fluctuating term is much smaller than the optical background, Topt, in support of the KKM result. A self-contained derivation of KKM T-matrix is presented.

AB - Kawai, Kerman and McVoy (KKM) derived an optical background-plus- fluctuations representation of T-matrix, T = T0pt + Tfluct so that an energy average of Tfluct over a single-particle resonance width is expected to be negligibly small (Ann. of Phys. 75, 156 [1973]). We investigate this property numerically in a simple model with 1,600 compound nuclear levels and 40 channels, coupled via a random interaction. We find that the energy average of the fluctuating term is much smaller than the optical background, Topt, in support of the KKM result. A self-contained derivation of KKM T-matrix is presented.

KW - Compound resonance

KW - Energy averaging

KW - Fluctuations

KW - Optical background

KW - Statistical nuclear reactions

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M3 - Conference contribution

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T3 - AIP Conference Proceedings

SP - 160

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BT - COMPOUND-NUCLEAR REACTIONS AND RELATED TOPICS - Proceedings of the 2007 International Workshop onCompound-Nuclear Reactions and Related Topics(CNR 2007)

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Y2 - 22 October 2007 through 26 October 2007

ER -

Statistical properties of Kawai-Kerman-McVoy T-matrix

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