Atomic Nucleus as Chaotic Quantum Many-Body System

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

Abstracts

EN

Quantum many-body chaos is described as a practical (theoretical, experimental, and computational) instrument in physics of mesoscopic systems of interacting particles. Using mainly nuclear physics applications, it is shown that interactions of constituents create stationary states of high complexity with respect to the nean-field basis with observable properties smoothly changing along the spectrum. Both local Gaussian orthogonal ensemble type features and the global evolution along the spectrum are used to understand the many-body physics and define thermodynamic properties of isolated mesoscopic objects. Among the examples discussed, especially interesting is a chaotic enhancement of weak perturbations illustrated by a large parity violation in neutron resonances on heavy nuclei. Artificially introduced chaotic elements are used to explore the nuclear landscape and predict phase transformations.

Keywords

EN

05.45.Mt; 24.60.Lz; 24.80.+y; 24.10.Pa

Discipline

• 24.80.+y: Nuclear tests of fundamental interactions and symmetries
• 24.10.Pa: Thermal and statistical models
• 24.60.Lz: Chaos in nuclear systems
• 05.45.Mt: Quantum chaos; semiclassical methods

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2015
• Volume: 128
• Issue: 6
• Pages: 1008-1016

Dates

published

2015-12

Contributors

author

V. Zelevinsky

• Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824-1321, USA

References

• [1] V. Zelevinsky, Quantum Physics, Vol. II, Wiley-VCH, Weinheim 2011
• [2] F. Haake, Quantum Signatures of Chaos, Springer, New York 1991
• [3] B.V. Chirikov, F.M.Izrailev, D.L. Shepelyansky, Physica D Nonlin. Phenom. 33, 77 (1988), doi: 10.1016/S0167-2789(98)90011-2
• [4] E.P. Wigner, Ann. Math. 62, 548 (1955), doi: 10.2307/1970079
• [5] Selected Papers of Freeman Dyson with Commentary, American Mathematical Society, Providence 1996; F.J. Dyson, M.L. Mehta, J. Math. Phys. 4, 701 (1963), doi: 10.1063/1.1704008
• [6] M.L. Mehta, Random Matrices, 3rd ed., Elsevier, Amsterdam 2004
• [7] O. Bohigas, M.J. Giannoni, C. Schmit, Phys. Rev. Lett. 52, 1 (1984), doi: 10.1103/PhysRevLett.52.1
• [8] V.V. Flambaum, A.A. Gribakina, G.F. Gribakin, M.G. Kozlov, Phys. Rev. A 50, 267 (1994), doi: 10.1103/PhysRevA.50.267
• [9] V. Zelevinsky, B.A. Brown, N. Frazier, M. Horoi, Phys. Rep. 276, 315 (1996), doi: 10.1016/S0370-1573(96)00007-5
• [10] V. Zelevinsky, Annu. Rev. Nucl. Part. Sci. 46, 237 (1996), doi: 10.1146/annurev.nucl.46.1.237
• [11] A. Bohr, B. Mottelson, Nuclear Structure, Vol. 1, Benjamin, New York 1969
• [12] D. Kusnezov, B.A. Brown, V. Zelevinsky, Phys. Lett. B 385, 5 (1996), doi: 10.1016/0370-2693(96)00853-2
• [13] D. Mulhall, Z. Huard, V. Zelevinsky, Phys. Rev. C 76, 064611 (2007), doi: 10.1103/PhysRevC.76.064611
• [14] G. Kilgus, G. Kührer, S. Müller, A. Richter, W. Knüpfer, Z. Phys. A 326, 41 (1987
• [15] R.A. Sen'kov, M. Horoi, V. Zelevinsky, Phys. Lett. B 702, 413 (2011), doi: 10.1016/j.physletb.2011.07.004
• [16] R.A. Sen'kov, M. Horoi, V. Zelevinsky, Comp. Phys. Commun. 184, 215 (2013), doi: 10.1016/j.cpc.2012.09.006
• [17] S.S.M. Wong, Nuclear Statistical Spectroscopy, University Press, Oxford 1986
• [18] Spectral Distributions in Nuclei and Statistical Spectroscopy, Eds. V.K.B. Kota, R.U. Haq, World Sci., Singapore 2010
• [19] N. Frazier, B.A. Brown, V. Zelevinsky, Phys. Rev. C 54, 1665 (1996), reprinted in Ref. [18], p. 557, doi: 10.1103/PhysRevC.54.1665
• [20] M. Horoi, A. Volya, V. Zelevinsky, Phys. Rev. Lett. 82, 2064 (1999), doi: 10.1103/PhysRevLett.82.2064
• [20a] M. Horoi, B.A. Brown, V. Zelevinsky, Phys. Rev. C 65, 027303 (2002), doi: 10.1103/PhysRevC.65.027303
• [20b] M. Horoi, B.A. Brown, V. Zelevinsky, Phys. Rev. C 67, 034303 (2003), doi: 10.1103/PhysRevC.67.034303
• [21] S. Hilaire, M. Girod, S. Goriely, A.J. Koning, Phys. Rev. C 86, 064317 (2012), doi: 10.1103/PhysRevC.86.064317
• [22] A. Volya, V. Zelevinsky, B.A. Brown, Phys. Rev. C 65, 054312 (2002), doi: 10.1103/PhysRevC.65.054312
• [23] J.R. Armstrong, S. Åberg, S.M. Reimann, V.G. Zelevinsky, Phys. Rev. E 86, 066204 (2012), doi: 10.1103/PhysRevE.86.066204
• [24] I.C. Percival, J. Phys. B 6, L229 (1973), doi: 10.1088/0022-3700/6/9/002
• [25] R.J. Blin-Stoyle, Phys. Rev. 120, 181 (1960)
• [26] O.P. Sushkov, V.V. Flambaum, Sov. Phys. Usp. 25, 1 (1982)
• [27] V.P. Alfimenkov, S.V. Borzakov, V. Van Thuan, Yu.D. Mareev, L.B. Pikelner, A.Z. Khrykin, E.I. Sharapov, Nucl. Phys. A 398, 93 (1983), doi: 10.1016/0375-9474(83)90649-8
• [28] J.D. Bowman, G.T. Garvey, M.B. Johnson, G.E. Mitchell, Annu. Rev. Nucl. Part. Sci. 43, 829 (1993), doi: 10.1146/annurev.ns.43.120193.004145
• [29] G.V. Danilyan, Sov. Phys. Usp. 23, 323 (1980)
• [30] A. Koetzle, P. Jesinger, F. Goennenwein, G.A. Petrov, V.I. Petrova, A.M. Gagarsky, G. Danilyan, O. Zimmer, V.V. Nesvizhevsky, Nucl. Instrum. Methods Phys. Res. A 440, 750 (2000), doi: 10.1016/S0168-9002(99)01076-1
• [31] R. Krücken, A. Dewald, P. Sala, C. Meier, H. Tiesler, J. Altmann, K.O. Zell, P. von Brentano, D. Bazzacco, C. Rossi-Alvarez, R. Burch, R. Menegazzo, G. de Angelis, G. Maron, M. de Poli, Phys. Rev. Lett. 73, 3359 (1994), doi: 10.1103/PhysRevLett.73.3359
• [32] J.-Z. Gu, H.A. Weidenmueller, Nucl. Phys. A 660, 197 (1999), doi: 10.1016/S0375-9474(99)00362-0
• [33] S. Å berg, Phys. Rev. Lett. 82, 299 (1999), doi: 10.1103/PhysRevLett.82.299
• [34] N. Auerbach, V. Zelevinsky, Phys. Rev. C 90, 034315 (2014), doi: 10.1103/PhysRevC.90.034315
• [35] L.D. Landau, E.M. Lifshitz, Statistical Physics, Pergamon Press, Oxford 1958
• [36] V.V. Flambaum, F.M. Izrailev, Phys. Rev. E 56, 5144 (1997), doi: 10.1103/PhysRevE.56.5144
• [37] A. Peres, Phys. Rev. A 30, 504 (1984), doi: 10.1103/PhysRevA.30.504
• [38] J.M. Deutsch, Phys. Rev. A 43, 2046 (1991), doi: 10.1103/PhysRevA.43.2046
• [39] M. Srednicki, Phys. Rev. E 50, 888 (1994), doi: 10.1103/PhysRevE.50.888
• [40] M. Rigol, V. Dunjko, M. Olshanii, Nature 452, 854 (2008), doi: 10.1038/nature06838
• [41] V.V. Sokolov, B.A. Brown, V. Zelevinsky, Phys. Rev. E 58, 56 (1998), doi: 10.1103/PhysRevE.58.56
• [42] A. Volya, V. Zelevinsky, Phys. Lett. B 574, 27 (2003), doi: 10.1016/j.physletb.2003.08.076
• [43] M. Horoi, V. Zelevinsky, Phys. Rev. C 81, 034306 (2010), doi: 10.1103/PhysRevC.81.034306
• [44] C.W. Johnson, G.F. Bertsch, D.J. Dean, Phys. Rev. Lett. 80, 2749 (1998), doi: 10.1103/PhysRevLett.80.2749
• [45] V.G. Zelevinsky, Nucl. Phys. A 555, 109 (1993), doi: 10.1016/0375-9474(93)90316-P
• [46] D. Mulhall, A. Volya, V. Zelevinsky, Phys. Rev. Lett. 85, 4016 (2000), doi: 10.1103/PhysRevLett.85.4016
• [47] V. Zelevinsky, A. Volya, Phys. Rep. 391, 311 (2004), doi: 10.1016/j.physrep.2003.10.008
• [48] C.W.J. Beenakker, Rev. Mod. Phys. 69, 731 (1997), doi: 10.1103/RevModPhys.69.731
• [49] V.V. Sokolov, V.G. Zelevinsky, Phys. Lett. B 202, 10 (1988), doi: 10.1016/0370-2693(88)90844-1
• [49a] V.V. Sokolov, V.G. Zelevinsky, Nucl. Phys. A 504, 562 (1989), doi: 10.1016/0375-9474(89)90558-7
• [50] V.V. Sokolov, V.G. Zelevinsky, Ann. Phys. 216, 323 (1992), doi: 10.1016/0003-4916(92)90180-T
• [51] V.V. Sokolov, V. Zelevinsky, Phys. Rev. C 56, 311 (1997), doi: 10.1103/PhysRevC.56.311
• [52] A. Volya, V. Zelevinsky, in: Nuclei and Mesoscopic Physics: WNMP 2004, Ed. V. Zelevinsky, AIP, Melville 2005, p. 229
• [53] N. Auerbach, V. Zelevinsky, Rep. Prog. Phys. 74, 106301 (2011), doi: 10.1088/0034-4885/74/10/106301
• [54] G.L. Celardo, F.M. Izrailev, V.G. Zelevinsky, G.P. Berman, Phys. Rev. E 76, 031119 (2007), doi: 10.1103/PhysRevE.76.031119
• [54a] G.L. Celardo, F.M. Izrailev, V.G. Zelevinsky, G.P. Berman, Phys. Lett. B 659, 170 (2008), doi: 10.1016/j.physletb.2007.11.044
• [55] S. Sorathia, F.M. Izrailev, G.L. Celardo, V.G. Zelevinsky, G.P. Berman, EPL 88, 27003 (2009), doi: 10.1209/0295-5075/88/27003
• [55a] G.L. Celardo, A.M. Smith, S. Sorathia, V.G. Zelevinsky, R.A. Sen'kov, L. Kaplan, Phys. Rev. B 82, 165437 (2010), doi: 10.1103/PhysRevB.82.165437
• [55b] S. Sorathia, F.M. Izrailev, V.G. Zelevinsky, G.L. Celardo, Phys. Rev. E 86, 011142 (2012), doi: 10.1103/PhysRevE.86.011142
• [56] Ya.S. Greenberg, C. Merrigan, A. Tayebi, V. Zelevinsky, Eur. Phys. J. B 86, 368 (2013), doi: 10.1140/epjb/e2013-40190-4

Identifiers

DOI

10.12693/APhysPolA.128.1008