Bound on Time-Reversal Noninvariance in the Nuclear Hamiltonian

J. B. French; V. K. B. Kota; A. Pandey; S. Tomsovic

doi:10.1103/PhysRevLett.54.2313

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Bound on Time-Reversal Noninvariance in the Nuclear Hamiltonian

J. B. French, V. K. B. Kota^*, A. Pandey, and S. Tomsovic

Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627

^*On leave from Physical Research Laboratory, Ahmedabad, India.

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Phys. Rev. Lett. 54, 2313 – Published 27 May, 1985

DOI: https://doi.org/10.1103/PhysRevLett.54.2313

Abstract

Energy-level fluctuations are calculated by random-matrix methods, for time-reversal noninvariant (TRNI) Hamiltonians. The theory, applied to the data, shows that in the neutron and proton resonance regions (i.e., for heavy and intermediate nuclei, respectively), the local rms off-diagonal multiparticle $H (TRNI)$ matrix element $≲ \frac{D}{10}$ , with $D$ the level spacing. Spectral averaging methods reduce this to a bound on the nucleon-nucleon TRNI vs TRI interactions. First calculations, for ${}^{169}{Er}$ , give a 1% upper bound.

References (16)

E. P. Wigner, SIAM Rev. 9, 1 (1967) J. F. McDonald, Nuovo Cimento B57, 95 (1980) H. S. Camarda, Phys. Rev. C 13, 2524 (1976)
C. E. Porter and R. G. Thomas, Phys. Rev. 104, 483 (1956) J. M. C. Scott, Philos. Mag. 45, 1322 (1954)
R. U. Haq, A. Pandey, and O. Bohigas, Phys. Rev. Lett. 48, 1086 (1982) O. Bohigas, R. U. Haq, and A. Pandey, in Nuclear Data for Science and Technology, edited by K. H. Böckhoff (Reidel, Dordrecht, 1983)
T. A. Brody, J. Flores, J. B. French, P. A. Mello, A. Pandey, and S. S. M. Wong, Rev. Mod. Phys. 53, 385 (1981)
Omitted endnote
J. B. French and S. S. M. Wong, Phys. Lett. 33B, 449 (1970) O. Bohigas and J. Flores, 34B, 261 (1971)
Wigner's ([5])
F. J. Dyson, J. Math. Phys. 3, 166 (1962)
K. K. Mon and J. B. French, Ann. Phys. (N.Y.) 95, 90 (1975)
Omitted endnote
A. Pandey and M. L. Mehta, Commun. Math. Phys. 87, 449 (1983) M. L. Mehta and A. Pandey, J. Phys. A 16, 2655 (1983)
P. J. Brussaard and P. W. M. Glaudemans, Shell-Model Applications in Nuclear Spectroscopy (North-Holland, Amsterdam, 1977)
F. S. Chang, J. B. French, and T. H. Thio, Ann. Phys. (N.Y.) 66, 137 (1971) J. B. French, Nucl. Phys. A396, 87 (1983)
J. P. Draayer, J. B. French, and S. S. M. Wong, Ann. Phys. (N.Y.) 106, 472, 503 (1977)
Omitted endnote
M. Simonius, Nucl. Phys. A396, 203C (1983)

[c1] E. P. Wigner, SIAM Rev. 9, 1 (1967) J. F. McDonald, Nuovo Cimento B57, 95 (1980) H. S. Camarda, Phys. Rev. C 13, 2524 (1976)

[c2] C. E. Porter and R. G. Thomas, Phys. Rev. 104, 483 (1956) J. M. C. Scott, Philos. Mag. 45, 1322 (1954)

[c3] R. U. Haq, A. Pandey, and O. Bohigas, Phys. Rev. Lett. 48, 1086 (1982) O. Bohigas, R. U. Haq, and A. Pandey, in Nuclear Data for Science and Technology, edited by K. H. Böckhoff (Reidel, Dordrecht, 1983)

[c4] T. A. Brody, J. Flores, J. B. French, P. A. Mello, A. Pandey, and S. S. M. Wong, Rev. Mod. Phys. 53, 385 (1981)

[c5] Omitted endnote

[c6] J. B. French and S. S. M. Wong, Phys. Lett. 33B, 449 (1970) O. Bohigas and J. Flores, 34B, 261 (1971)

[c7] Wigner's ([5])

[c8] F. J. Dyson, J. Math. Phys. 3, 166 (1962)

[c9] K. K. Mon and J. B. French, Ann. Phys. (N.Y.) 95, 90 (1975)

[c10] Omitted endnote

[c11] A. Pandey and M. L. Mehta, Commun. Math. Phys. 87, 449 (1983) M. L. Mehta and A. Pandey, J. Phys. A 16, 2655 (1983)

[c12] P. J. Brussaard and P. W. M. Glaudemans, Shell-Model Applications in Nuclear Spectroscopy (North-Holland, Amsterdam, 1977)

[c13] F. S. Chang, J. B. French, and T. H. Thio, Ann. Phys. (N.Y.) 66, 137 (1971) J. B. French, Nucl. Phys. A396, 87 (1983)

[c14] J. P. Draayer, J. B. French, and S. S. M. Wong, Ann. Phys. (N.Y.) 106, 472, 503 (1977)

[c15] Omitted endnote

[c16] M. Simonius, Nucl. Phys. A396, 203C (1983)

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Bound on Time-Reversal Noninvariance in the Nuclear Hamiltonian

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References (16)

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