Theory of compound-nucleus reactions: Gaussian versus non-Gaussian statistics of its parameters

Journal Article · Wed Apr 01 00:00:00 EST 1987 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.35.1228· OSTI ID:6001670

Mueller, A; Harney, H L

A theory of compound-nucleus reactions is formulated which is valid for most of the physical situations: from the domain of isolated to the domain of overlapping resonances. We allow for a more general than Gaussian statistics of the resonance decay amplitudes. The energy spectrum is parametrized in terms of a variable sigma/sub p/ that measures its stiffness. The following results are obtained: We formulate a condition under which Hauser-Feshbach expressions emerge. They include an elastic enhancement factor W. This factor essentially depends on the fourth moment of the decay amplitudes and the stiffness parameter sigma/sub p/. Within our model, sigma/sub p/ is given by requiring Wigner's level repulsion. If, in addition, one specializes to the Gaussian statistics of the decay amplitudes, the present results yield the analytical solution to the earlier Monte Carlo simulations. In the same limit, we find agreement with experimental results on W that are available for the regimes of well-isolated and of strongly overlapping resonances.

• Research Organization: Max-Planck-Institut fuer Kernphysik, D-6900 Heidelberg, Federal Republic of Germany
• OSTI ID: 6001670
• Journal Information: Phys. Rev. C; (United States), Vol. 35:4
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COMPOUND-NUCLEUS REACTIONS
STATISTICAL MODELS
BOUND STATE
CORRELATION FUNCTIONS
CROSS SECTIONS
EIGENVALUES
ELASTIC SCATTERING
ENERGY SPECTRA
GAUSSIAN PROCESSES
HAMILTONIANS
MONTE CARLO METHOD
PROBABILITY
RESONANCE
S MATRIX
WAVE FUNCTIONS
FUNCTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRICES
NUCLEAR REACTIONS
QUANTUM OPERATORS
SCATTERING
SPECTRA
653003* - Nuclear Theory- Nuclear Reactions & Scattering