Grassmann integration and the theory of compound-nucleus reactions

J. J.M. Verbaarschot; H. A. Weidenmüller; M. R. Zirnbauer

doi:10.1016/0370-2693(84)90402-7

Grassmann integration and the theory of compound-nucleus reactions

J. J.M. Verbaarschot
, H. A. Weidenmüller
, M. R. Zirnbauer

Physics and Astronomy

Max Planck Institute for Nuclear Physics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

Using a random-matrix model for the compound-nucleus resonances, and employing the method of functional integration involving both commuting and anticommuting variables, we derive a closed-form expression for the ensemble average of the product of two nuclear S-matrix elements. The derivation holds for any number of channels, and for all values of the transmission coefficients.

Original language	English
Pages (from-to)	263-266
Number of pages	4
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	149
Issue number	4-5
DOIs	https://doi.org/10.1016/0370-2693(84)90402-7
State	Published - Dec 20 1984

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title = "Grassmann integration and the theory of compound-nucleus reactions",

abstract = "Using a random-matrix model for the compound-nucleus resonances, and employing the method of functional integration involving both commuting and anticommuting variables, we derive a closed-form expression for the ensemble average of the product of two nuclear S-matrix elements. The derivation holds for any number of channels, and for all values of the transmission coefficients.",

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AU - Verbaarschot, J. J.M.

AU - Weidenmüller, H. A.

AU - Zirnbauer, M. R.

PY - 1984/12/20

Y1 - 1984/12/20

N2 - Using a random-matrix model for the compound-nucleus resonances, and employing the method of functional integration involving both commuting and anticommuting variables, we derive a closed-form expression for the ensemble average of the product of two nuclear S-matrix elements. The derivation holds for any number of channels, and for all values of the transmission coefficients.

AB - Using a random-matrix model for the compound-nucleus resonances, and employing the method of functional integration involving both commuting and anticommuting variables, we derive a closed-form expression for the ensemble average of the product of two nuclear S-matrix elements. The derivation holds for any number of channels, and for all values of the transmission coefficients.

UR - https://www.scopus.com/pages/publications/0042839297

U2 - 10.1016/0370-2693(84)90402-7

DO - 10.1016/0370-2693(84)90402-7

M3 - Article

AN - SCOPUS:0042839297

SN - 0370-2693

VL - 149

SP - 263

EP - 266

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 4-5

ER -

Grassmann integration and the theory of compound-nucleus reactions

Abstract

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