Cross-section fluctuations in open microwave billiards and quantum graphs: The counting-of-maxima method revisited

Dietz, B and Richter, A and Samajdar, R (2015) Cross-section fluctuations in open microwave billiards and quantum graphs: The counting-of-maxima method revisited. In: PHYSICAL REVIEW E, 92 (2).

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Abstract

The fluctuations exhibited by the cross sections generated in a compound-nucleus reaction or, more generally, in a quantum-chaotic scattering process, when varying the excitation energy or another external parameter, are characterized by the width Gamma(corr) of the cross-section correlation function. Brink and Stephen Phys. Lett. 5, 77 (1963)] proposed a method for its determination by simply counting the number of maxima featured by the cross sections as a function of the parameter under consideration. They stated that the product of the average number of maxima per unit energy range and Gamma(corr) is constant in the Ercison region of strongly overlapping resonances. We use the analogy between the scattering formalism for compound-nucleus reactions and for microwave resonators to test this method experimentally with unprecedented accuracy using large data sets and propose an analytical description for the regions of isolated and overlapping resonances.

Item Type:	Journal Article
Publication:	PHYSICAL REVIEW E
Publisher:	AMER PHYSICAL SOC
Additional Information:	Copy right for this article belongs to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Department/Centre:	Others
Date Deposited:	03 Sep 2015 05:35
Last Modified:	03 Sep 2015 05:35
URI:	http://eprints.iisc.ac.in/id/eprint/52284

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