Few channel models of nuclear reactions: Distorted-wave Born approximation for light-ion-induced transfer processes
Standard derivations of the distorted wave Born approximation amplitudes for particle-transfer reactions have always left unanswered two fundamental questions: How can one justify cancellation of the typical, one-body, absorptive-potential counter term, and, which Pauli-principle exchange amplitudes correspond to the standard, nonexchange distorted-wave Born approximation amplitude. This paper provides an answer to these questions. This is accomplished by using a particular type of antisymmetrized, N-particle collision theory to describe the transfer processes. For the reaction (b,a), with the mass of a greater than the mass of b, the extended Faddeev theory of the preceding paper is used, while its time-reversal partner, the precursor form of the Bencze-Redish-Sloan equations, is used for the (a,b) case. They lead to almost identical first-order amplitudes. For all the reactions studied herein, it is found that the form of the nonexchange distorted-wave amplitudes: those that are commonly referred to as distorted-wave Born approximation amplitudes: are essentially the same as are used to fit data. This result is achieved without any need to account for cancellation of a counter term, since none appears, implying an absence of so-called core-excitation effects in first order.
- Research Organization:
- Physics Department, Brown University, Providence, Rhode Island 02912
- DOE Contract Number:
- AC02-76ER03235
- OSTI ID:
- 5609629
- Journal Information:
- Phys. Rev. C; (United States), Vol. 33:6
- Country of Publication:
- United States
- Language:
- English
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DEUTERON REACTIONS
PICKUP REACTIONS
PROTON REACTIONS
DWBA
ELASTIC SCATTERING
FADDEEV EQUATIONS
OPTICAL MODELS
PAULI PRINCIPLE
T INVARIANCE
TRANSFER REACTIONS
WAVE FUNCTIONS
BARYON REACTIONS
BORN APPROXIMATION
CHARGED-PARTICLE REACTIONS
DIRECT REACTIONS
EQUATIONS
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HADRON REACTIONS
INVARIANCE PRINCIPLES
NUCLEAR REACTIONS
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653003* - Nuclear Theory- Nuclear Reactions & Scattering