Cross section expansion for direct neutron radiative capture

Journal Article · Thu Jul 01 00:00:00 EDT 2004 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.70.015801· OSTI ID:20695616

Baye, D ^[1]

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1. Physique Quantique, CP165/82, Physique Nucleaire Theorique et Physique Mathematique, CP 229, Universite Libre de Bruxelles, B 1050 Brussels (Belgium)

Cross sections for neutron radiative capture multiplied by the relative velocity can be expressed as a Taylor expansion in powers of the relative energy. The coefficients of this expansion are expressed in the potential model as integrals involving solutions of the radial Schroedinger equation and of its inhomogeneous energy derivatives calculated at zero energy. Similarities and differences with charged-particle capture are emphasized. The {sup 12}C(n,{gamma}){sup 13}C capture reaction is treated as an example. The coefficients of the Taylor expansion lead to simple parametrizations of the experimental partial cross sections for neutron capture to each {sup 13}C bound state.

• OSTI ID: 20695616
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 70, Issue 1; Other Information: DOI: 10.1103/PhysRevC.70.015801; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOUND STATE
CAPTURE
CARBON 12 TARGET
CARBON 13
CHARGED PARTICLES
CROSS SECTIONS
DIRECT REACTIONS
MATHEMATICAL SOLUTIONS
NEUTRON REACTIONS
NEUTRONS
NUCLEAR MODELS
POTENTIALS
SCHROEDINGER EQUATION