Bounds on the presence of quantum chaos in nuclear masses⋆

J. G. Hirsch; A. Frank; J. Barea; P. Van Isacker; V. Velázquez

doi:10.1140/epjad/i2005-06-050-0

EPJ

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2019 Impact factor 2.176

Hadrons and Nuclei

Open Access

Eur. Phys. J. A (2005) 25: 75-78
https://doi.org/10.1140/epjad/i2005-06-050-0

ENAM 2004

Bounds on the presence of quantum chaos in nuclear masses^⋆

J. G. Hirsch¹^*, A. Frank¹, J. Barea¹, P. Van Isacker² and V. Velázquez³

¹ Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, AP 70-543, 04510, México, Mexico
² GANIL, BP 55027, F-14076, Caen Cedex 5, France
³ Departamento de Fısica, Facultad de Ciencias, Universidad Nacional Autónoma de México, AP 70-348, 04511, México DF, Mexico

^* e-mail: hirsch@nucleares.unam.mx

Received: 14 January 2005
Accepted: 1 March 2005
Published online: 20 April 2005

Abstract

Differences between measured nuclear masses and those calculated using the Finite-Range Droplet Model are analyzed. It is shown that they have a well defined, clearly correlated oscillatory component as a function of the proton and neutron numbers. At the same time, they exhibit in their power spectrum the presence of chaos. Comparison with other mass calculations strongly suggest that this chaotic component arises from many body effects not included in the mass formula, and that they do not impose limits in the precision of mass calculations.

PACS: 21.10.Dr Binding energies and masses – / 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion – / 24.60.Lz Chaos in nuclear systems – / 05.45.Tp Time series analysis –

© Società Italiana di Fisica and Springer-Verlag, 2005