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V. Zelevinsky and S. Karampagia
of individual spins); to establish the limits of applicability of the shell model from
the viewpoint of level density for various groups of nuclei and along the energy
scale; to move to heavier nuclei, maybe with random interactions instead of exact
matrix elements of incoherent two-body collisions; to study the continuum effects
and corresponding reformulation of the level density problem; to compare in detail
the Fermi-liquid and constant temperature phenomenology. A special interest is
in comparison of microscopic calculations with phenomenological models almost
always used by practitioners. Here we have a chance to establish the detailed
relation between shell-model interactions and standard parameters of temperature,
entropy, spin cut-off, etc. and try to predict microscopically the degree of validity
of such a description and global evolution of the parameters. This is important for
understanding the process of thermalization in a closed mesoscopic system without
any heat bath. Here the interactions play the role of the thermalizing agent and the
ideas of statistical physics can be applied to small systems of strongly interacting
constituents.
Acknowledgments The whole development of the method was done in collaboration with M.
Horoi and R.A. Sen’kov; discussions with N. Auerbach and B.A. Brown are acknowledged. We
thank students A. Renzaglia and A. Berlaga for participation in the research. The work on level
density was supported by NSF grants PHY-1068217 and PHY-1404442, and the grant from the
Binational Science Foundation US-Israel.
References
1. T. Ericson, Adv. Phys. 9, 425 (1960)
2. A. Gilbert, A.G.W. Cameron, Can. J. Phys. 43, 1446 (1965)
3. T. von Egidy, D. Bucurescu, J. Phys. Conf. Ser. 338, 012028 (2012)
4. S. Goriely, S. Hilaire, A.J. Koning, Phys. Rev. C 78, 064307 (2008)
5. S. Hilaire, M. Girod, S. Goriely, A.J. Koning. Phys. Rev. C 86, 064317 (2012)
6. Y. Alhassid, G.F. Bertsch, S. Liu, H. Nakada, Phys. Rev. Lett. 84, 4313 (2000)
7. Y. Alhassid, S. Liu, H. Nakada, Phys. Rev. Lett. 99, 162504 (2007)
8. Y. Alhassid, A. Mukherjee, H. Nakada, C. Ozen, J. Phys. Conf. Ser. 403, 012012 (2012)
9. V. Zelevinsky, M. Horoi, Prog. Part. Nucl. Phys. 105, 180 (2019)
10. I.C. Percival, J. Phys. B 6, L229 (1973)
11. V. Zelevinsky, B.A. Brown, N. Frazier, M. Horoi, Phys. Rep. 276, 85 (1996)
12. V. Zelevinsky, Annu. Rev. Nucl. Part. Phys. 46, 237 (1996)
13. V.V. Flambaum, F.M. Izrailev, Phys. Rev. E 56, 5144 (1997)
14. J.B. French, K.F. Ratcliff, Phys. Rev. C 3, 94 (1971)
15. T.A. Brody, J. Flores, J.B. French, P.A. Mello, A. Pandey, S.S.M. Wong, Rev. Mod. Phys. 55,
385 (1981)
16. V.K.B. Kota, R.U. Haq (eds.), Spectral Distributions in Nuclei and Statistical Spectroscopy
(World Scientific, Singapore, 2010)
17. S.S.M. Wong, Nuclear Statistical Spectroscopy (Oxford, University Press, 1986)
18. R.A. Sen’kov, M. Horoi, V.G. Zelevinsky, Comput. Phys. Commun. 184, 215 (2013)
19. B.A Brown, W.E. Ormand, LLNL-PROC-758995 (2018)
20. R. Sen’kov, V. Zelevinsky, Phys. Rev. C 93, 064304 (2016)
21. S. Karampagia, R.A. Sen’kov, V. Zelevinsky, At. Data Nucl. Data Tables 120, 1 (2018)
V. Zelevinsky and S. Karampagia
of individual spins); to establish the limits of applicability of the shell model from
the viewpoint of level density for various groups of nuclei and along the energy
scale; to move to heavier nuclei, maybe with random interactions instead of exact
matrix elements of incoherent two-body collisions; to study the continuum effects
and corresponding reformulation of the level density problem; to compare in detail
the Fermi-liquid and constant temperature phenomenology. A special interest is
in comparison of microscopic calculations with phenomenological models almost
always used by practitioners. Here we have a chance to establish the detailed
relation between shell-model interactions and standard parameters of temperature,
entropy, spin cut-off, etc. and try to predict microscopically the degree of validity
of such a description and global evolution of the parameters. This is important for
understanding the process of thermalization in a closed mesoscopic system without
any heat bath. Here the interactions play the role of the thermalizing agent and the
ideas of statistical physics can be applied to small systems of strongly interacting
constituents.
Acknowledgments The whole development of the method was done in collaboration with M.
Horoi and R.A. Sen’kov; discussions with N. Auerbach and B.A. Brown are acknowledged. We
thank students A. Renzaglia and A. Berlaga for participation in the research. The work on level
density was supported by NSF grants PHY-1068217 and PHY-1404442, and the grant from the
Binational Science Foundation US-Israel.
References
1. T. Ericson, Adv. Phys. 9, 425 (1960)
2. A. Gilbert, A.G.W. Cameron, Can. J. Phys. 43, 1446 (1965)
3. T. von Egidy, D. Bucurescu, J. Phys. Conf. Ser. 338, 012028 (2012)
4. S. Goriely, S. Hilaire, A.J. Koning, Phys. Rev. C 78, 064307 (2008)
5. S. Hilaire, M. Girod, S. Goriely, A.J. Koning. Phys. Rev. C 86, 064317 (2012)
6. Y. Alhassid, G.F. Bertsch, S. Liu, H. Nakada, Phys. Rev. Lett. 84, 4313 (2000)
7. Y. Alhassid, S. Liu, H. Nakada, Phys. Rev. Lett. 99, 162504 (2007)
8. Y. Alhassid, A. Mukherjee, H. Nakada, C. Ozen, J. Phys. Conf. Ser. 403, 012012 (2012)
9. V. Zelevinsky, M. Horoi, Prog. Part. Nucl. Phys. 105, 180 (2019)
10. I.C. Percival, J. Phys. B 6, L229 (1973)
11. V. Zelevinsky, B.A. Brown, N. Frazier, M. Horoi, Phys. Rep. 276, 85 (1996)
12. V. Zelevinsky, Annu. Rev. Nucl. Part. Phys. 46, 237 (1996)
13. V.V. Flambaum, F.M. Izrailev, Phys. Rev. E 56, 5144 (1997)
14. J.B. French, K.F. Ratcliff, Phys. Rev. C 3, 94 (1971)
15. T.A. Brody, J. Flores, J.B. French, P.A. Mello, A. Pandey, S.S.M. Wong, Rev. Mod. Phys. 55,
385 (1981)
16. V.K.B. Kota, R.U. Haq (eds.), Spectral Distributions in Nuclei and Statistical Spectroscopy
(World Scientific, Singapore, 2010)
17. S.S.M. Wong, Nuclear Statistical Spectroscopy (Oxford, University Press, 1986)
18. R.A. Sen’kov, M. Horoi, V.G. Zelevinsky, Comput. Phys. Commun. 184, 215 (2013)
19. B.A Brown, W.E. Ormand, LLNL-PROC-758995 (2018)
20. R. Sen’kov, V. Zelevinsky, Phys. Rev. C 93, 064304 (2016)
21. S. Karampagia, R.A. Sen’kov, V. Zelevinsky, At. Data Nucl. Data Tables 120, 1 (2018)