Correlation Functions and the Porter-Thomas Distribution
55
0.5
0.6
0.7
0.8
0.9
1.0
0.2
0.4
0.6
0.8
1.0
ν
δ
Fig. 1 The relative change δ of the dominant contribution to C aa (0) in the SBW model versus ν
for different choices of the number of open channels: = 5 (dotted line), = 10 (dashed line),
= 20 (dot-dashed line), and = ∞ (solid line)
In summary, a test of the VWZ model involving fluctuations in neutron-induced
CN reactions has been identified. For weakly overlapping resonances, R tot (0) is
sensitive to fluctuations in reduced neutron widths but insensitive to correlations
between levels (beyond level repulsion) [5]. These properties make the study of
R tot (0) for weakly overlapping resonances in the unresolved resonance regime a
test, in effect, of the Porter-Thomas distribution.
Acknowledgments This work was supported in part by the US Department of Energy under Grant
No. DE-FG02-97ER41042.
References
1. C.E. Porter, R.G. Thomas, Phys. Rev. 104, 483 (1956). https://doi.org/10.1103/PhysRev.104.
483
2. P.E. Koehler, F. Be˘ cvᢠr, M. Krti˘ cka, K.H. Guber, J.L. Ullmann, Fortschr. Phys. 61, 80
(2013).https://doi.org/10.1002/prop.201200067
3. H.A. Weidenmüller, AIP Conf. Proc. 1912, 020021 (2017). https://doi.org/10.1063/1.5016146
4. P. Fanto, G.F. Bertsch, Y. Alhassid, Phys. Rev. C 98, 014604 (2018). https://doi.org/10.1103/
PhysRevC.98.014604
5. G.F. Bertsch, D. Brown, E.D. Davis, Phys. Rev. C 98, 014611 (2018). https://doi.org/10.1103/
PhysRevC.98.014611
55
0.5
0.6
0.7
0.8
0.9
1.0
0.2
0.4
0.6
0.8
1.0
ν
δ
Fig. 1 The relative change δ of the dominant contribution to C aa (0) in the SBW model versus ν
for different choices of the number of open channels: = 5 (dotted line), = 10 (dashed line),
= 20 (dot-dashed line), and = ∞ (solid line)
In summary, a test of the VWZ model involving fluctuations in neutron-induced
CN reactions has been identified. For weakly overlapping resonances, R tot (0) is
sensitive to fluctuations in reduced neutron widths but insensitive to correlations
between levels (beyond level repulsion) [5]. These properties make the study of
R tot (0) for weakly overlapping resonances in the unresolved resonance regime a
test, in effect, of the Porter-Thomas distribution.
Acknowledgments This work was supported in part by the US Department of Energy under Grant
No. DE-FG02-97ER41042.
References
1. C.E. Porter, R.G. Thomas, Phys. Rev. 104, 483 (1956). https://doi.org/10.1103/PhysRev.104.
483
2. P.E. Koehler, F. Be˘ cvᢠr, M. Krti˘ cka, K.H. Guber, J.L. Ullmann, Fortschr. Phys. 61, 80
(2013).https://doi.org/10.1002/prop.201200067
3. H.A. Weidenmüller, AIP Conf. Proc. 1912, 020021 (2017). https://doi.org/10.1063/1.5016146
4. P. Fanto, G.F. Bertsch, Y. Alhassid, Phys. Rev. C 98, 014604 (2018). https://doi.org/10.1103/
PhysRevC.98.014604
5. G.F. Bertsch, D. Brown, E.D. Davis, Phys. Rev. C 98, 014611 (2018). https://doi.org/10.1103/
PhysRevC.98.014611