Neutron Resonances: Widths Distribution versus the Porter-Thomas Law

• Authors: V. Sokolov
• Languages of publication: EN

Abstracts

EN

The neutron resonance scattering off heavy nuclei is a paradigmatic example of the chaotic processes that are well described within the framework of the standard Random Matrix Theory (RMT). In zero approximation of non-overlapping resonances, the resonance width distribution is given by the standard Porter-Thomas law (PTD) dw/dx= e^{-x/2}/√(2πx), where x=Γ/⟨Γ⟩ is the resonance width measured in the units of its mean value. We analyze the influence of the resonance overlapping and show that the experimentally observed deviations from of the PTD arise due to the influence of a moderate number of neighboring resonances located inside a restricted energy interval within which the mean level spacing D remains constant.

Keywords

EN

05.45.Gg; 24.60.Lz; 05.45.Mt

Discipline

• 05.45.Mt: Quantum chaos; semiclassical methods
• 05.45.Gg: Control of chaos, applications of chaos
• 24.60.Lz: Chaos in nuclear systems

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 132
• Issue: 6
• Pages: 1704-1706

Dates

published

2017-12

Contributors

author

V. Sokolov

• Budker Institute of Nuclear Physics of SB RAS, Novosibirsk, Russia

References

• [1] P.E. Koehler, F. Bečvář, M. Krtička, J. A. Harvey, K.H. Guber, Phys. Rev. Lett. 105, 072502 (2010), doi: 10.1103/physrevlett.105.072502
• [1a] P.E. Koehler, Phys. Rev. C 84, 034312 (2011), doi: 10.1103/physrevc.84.034312
• [1b] P.E. Koehler, F. Bečvář, M. Krtička, K.H. Guber, J.L. Ullmann, Fortschritte der Physik 61, 80 (2012), doi: 10.1002/prop.201200067
• [2] V.V. Sokolov, V.G. Zelevinsky, Nucl. Phys. A 504, 562 (1989), doi: 10.1016/0375-9474(89)90558-7
• [2a] V.V. Sokolov, V.G. Zelevinsky, Phys. Lett. B 202, 10 (1988), doi: 10.1016/0370-2693(88)90844-1
• [3] M.L. Mehta, Nucl.Phys. 18, 395 (1960), doi: 10.1016/0029-5582(60)90413-2
• [4] G. Shchedrin, V. Zelevinsky, Phys. Rev. C 86, 044602 (2012), doi: 10.1103/PhysRevC.86.044602
• [5] Y.V. Fyodorov, D.V. Savin, EPL 110, 40006 (2015), doi: 10.1209/0295-5075/110/40006
• [6] A. Volya, H.A. Weidenmüller,, V. Zelevinsky, Phys. Rev. Lett. 115, 052501 (2015), doi: 10.1103/physrevlett.115.052501
• [7] E. Bogomolny, Phys. Rev. Lett. 118, 022501 (2017), doi: 10.1103/PhysRevLett.118.022501

Identifiers

DOI

10.12693/APhysPolA.132.1704