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Exit-Channel Suppression in Statistical Reaction Theory.

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  • 1Department of Physics and Institute of Nuclear Theory, University of Washington, Seattle, Washington 98915, USA.

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Statistical reaction theories often assume channel independence. This study explores corrections to this, finding a suppression of exit channel branching ratios in neutron-induced reactions on Uranium-235.

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Area of Science:

  • Nuclear physics
  • Statistical reaction theory
  • Quantum transport theory

Background:

  • Statistical reaction theories, like Hauser-Feshbach, rely on Bohr's compound nucleus hypothesis, assuming independent probabilities for different reaction channels.
  • Corrections to this factorization hypothesis are recognized, including entrance channel memory effects in nuclear and quantum transport theories.

Purpose of the Study:

  • To investigate a complementary suppression of exit channel branching ratios.
  • To apply the Gaussian orthogonal ensemble (GOE) to analyze these deviations from the factorization hypothesis.

Main Methods:

  • Utilizing the Gaussian orthogonal ensemble (GOE) framework.
  • Analyzing the combined effects of width fluctuation and transmission coefficient limitations.

Main Results:

  • A complementary suppression of exit channel branching ratios was observed.
  • The study establishes a lower bound on the number of exit channels based on these combined effects.
  • The findings were demonstrated for branching ratios in neutron-induced reactions on a Uranium-235 target.

Conclusions:

  • The factorization hypothesis in statistical reaction theories requires corrections beyond entrance channel memory.
  • Width fluctuations and transmission coefficient limitations play a crucial role in determining branching ratios.
  • A quantifiable lower bound for exit channels can be derived, improving predictive power in nuclear reactions.