Phys. Rev. C 69, 057302 (2004) - Number of principal components and localization length in $E2$ and $M1$ transition strengths in $^{46}\mathrm{V}$

Number of principal components and localization length in $E 2$ and $M 1$ transition strengths in ${}^{46}V$

J. M. G. Gómez, K. Kar, V. K. B. Kota, R. A. Molina, and J. Retamosa

Phys. Rev. C 69, 057302 – Published 24 May 2004

Abstract

Predictions of the embedded Gaussian orthogonal random matrix ensemble of one plus two-body interactions, in the Gaussian domain, for the number of principal components and localization length, measuring complexity and chaos in transition strengths originating from an eigenstate with energy $E$ , are tested successfully for the first time for $E 2$ and $M 1$ transition strengths. Shell-model results for the $2 p 1 f$ -shell nucleus ${}^{46}V$ are used as the example.

Received 2 January 2004

DOI:https://doi.org/10.1103/PhysRevC.69.057302

©2004 American Physical Society

Authors & Affiliations

J. M. G. Gómez

Departamento de Física Atómica, Molecular y Nuclear, Universidad Complutense de Madrid, E-28040 Madrid, Spain

Saha Institute of Nuclear Physics, 1/AF Bidhananagar, Calcutta 700 064, India

Physical Research Laboratory, Ahmedabad 380 009, India

Departamento de Física Atómica, Molecular y Nuclear, Universidad Complutense de Madrid, E-28040 Madrid, Spain

Departamento de Física Atómica, Molecular y Nuclear, Universidad Complutense de Madrid, E-28040 Madrid, Spain

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Issue

Vol. 69, Iss. 5 — May 2004

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