Nuclear transmission coefficients for calculation of the absorption cross section in the adiabatic coupled-channel approximation method

Technical Report · Sun Mar 01 04:00:00 EST 1981

DOI:https://doi.org/10.2172/6451432· OSTI ID:6451432

Madsen, V A

Formulas which are needed to calculate transmission coefficients for the adiabatic coupled-channel approximation method are described. In terms of these coefficients, nuclear absorption cross sections may be obtained. First, derivations are given of various cross sections for a system of coupled inelastic channels in terms of the S matrix. The adiabatic approximation method is discussed for a rotational band, and the dynamical nuclear S matrix is obtained from the S matrix for scattering from a static rotor. The formulas are valid for a spheroidal rotor, with or without an extra-core particle, which does not interact with the projectile but does provide angular momentum to the target.

• Research Organization: Lawrence Livermore National Lab., CA (USA)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6451432
• Report Number(s): UCRL-53134; ON: DE81028903
• Country of Publication: United States
• Language: English

Related Subjects

653001 -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COUPLED CHANNEL THEORY
CROSS SECTIONS
DEFORMED NUCLEI
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EXCITATION
EXCITED STATES
HEAVY NUCLEI
INELASTIC SCATTERING
MATRICES
NUCLEAR REACTIONS
NUCLEI
ROTATIONAL STATES
S MATRIX
SCATTERING