Problem of Level Densities
143
3 Summary
There has been a long-standing inconsistency between theoretical predictions for the
rotational enhancement factor and values obtained from resonance measurements.
A resolution of these inconsistencies comes from realization that this factor does
not only depend on energy but also has a rapid dependence on J as well. When
this dependence is introduced, the experimental results brought into agreement with
theory.
Acknowledgement This work has been supported by Department of Energy grant DENA0002905.
References
1. H.A. Bethe, An attempt to calculate the number of energy levels of a heavy nucleus. Phys. Rev.
50, 332 (1936)
2. A. Bohr, B.R. Mottelson, Nuclear Structure (W. A. Benjamin, New York, 1969)
3. A.R. Junghans, M. de Jong, H.G. Clerc, A.V. Ignatyuk, G.A. Kudyaev, K.H. Schmidt, Projectilefragment yields as a probe for the collective enhancement in the nuclear level density. Nucl.
Phys. A 629(3), 635–655 (1998). https://doi.org/10.1016/S0375-9474(98)00658-7
4. S.M. Grimes, A Hauser-Feshbach code for deformed nuclei. Phys. Rev. C 88, 024613 (2013)
5. G. Rohr, New perspectives on the level density of compound resonances. Z. Phys. A: At. Nucl.
318(3), 299–308 (1984). https://doi.org/10.1007/BF01418087
6. A. Iljinov, M. Mebel, N. Bianchi, E.D. Sanctis, C. Guaraldo, V. Lucherini, V. Muccifora, E.
Polli, A. Reolon, P. Rossi, Phenomenological statistical analysis of level densities, decay widths
and lifetimes of excited nuclei. Nucl. Phys. A 543(3), 517–557 (1992). https://doi.org/10.1016/
0375-9474(92)90278-R
7. S.M. Grimes, A.V. Voinov, T.N. Massey, Mass-number and excitation-energy dependence of the
spin cutoff parameter. Phys. Rev. C 94, 014308 (2016). https://doi.org/10.1103/PhysRevC.94.
014308
143
3 Summary
There has been a long-standing inconsistency between theoretical predictions for the
rotational enhancement factor and values obtained from resonance measurements.
A resolution of these inconsistencies comes from realization that this factor does
not only depend on energy but also has a rapid dependence on J as well. When
this dependence is introduced, the experimental results brought into agreement with
theory.
Acknowledgement This work has been supported by Department of Energy grant DENA0002905.
References
1. H.A. Bethe, An attempt to calculate the number of energy levels of a heavy nucleus. Phys. Rev.
50, 332 (1936)
2. A. Bohr, B.R. Mottelson, Nuclear Structure (W. A. Benjamin, New York, 1969)
3. A.R. Junghans, M. de Jong, H.G. Clerc, A.V. Ignatyuk, G.A. Kudyaev, K.H. Schmidt, Projectilefragment yields as a probe for the collective enhancement in the nuclear level density. Nucl.
Phys. A 629(3), 635–655 (1998). https://doi.org/10.1016/S0375-9474(98)00658-7
4. S.M. Grimes, A Hauser-Feshbach code for deformed nuclei. Phys. Rev. C 88, 024613 (2013)
5. G. Rohr, New perspectives on the level density of compound resonances. Z. Phys. A: At. Nucl.
318(3), 299–308 (1984). https://doi.org/10.1007/BF01418087
6. A. Iljinov, M. Mebel, N. Bianchi, E.D. Sanctis, C. Guaraldo, V. Lucherini, V. Muccifora, E.
Polli, A. Reolon, P. Rossi, Phenomenological statistical analysis of level densities, decay widths
and lifetimes of excited nuclei. Nucl. Phys. A 543(3), 517–557 (1992). https://doi.org/10.1016/
0375-9474(92)90278-R
7. S.M. Grimes, A.V. Voinov, T.N. Massey, Mass-number and excitation-energy dependence of the
spin cutoff parameter. Phys. Rev. C 94, 014308 (2016). https://doi.org/10.1103/PhysRevC.94.
014308