Unitary correlation in nuclear reaction theory: Separation of nuclear reactions and spectroscopic factors

Journal Article · Mon Nov 15 00:00:00 EST 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.82.051601· OSTI ID:21499151

Mukhamedzhanov, A M ^[1]; Kadyrov, A S ^[2]

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1. Cyclotron Institute, Texas A and M University, College Station, Texas 77843 (United States)
2. ARC Centre for Antimatter-Matter Studies, Curtin University, GPO Box U1987, Perth, WA 6845 (Australia)

Future exact many-body theory will allow us to calculate nuclear reactions based on the adopted NN and many-body nuclear potentials. But NN potentials are not observable and there are an infinite number of the phase-equivalent NN potentials related via finite-range unitary transformations. We show that asymptotic normalization coefficients, which are the amplitudes of the asymptotic tails of the overlap functions, are invariant under finite-range unitary transformations but spectroscopic factors are not. We prove also that the exact amplitudes for the (d,p),(d,pn), and (e,e{sup '}p) reactions determining the asymptotic behavior of the exact scattering wave functions in the corresponding channels, in contrast to spectroscopic factors, are invariant under finite-range unitary transformations. Moreover, the exact reaction amplitudes are not parametrized in terms of the spectroscopic factors and nuclear reactions in the exact approach cannot provide a tool to determine spectroscopic factors which are not observable.

• OSTI ID: 21499151
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 82, Issue 5; Other Information: DOI: 10.1103/PhysRevC.82.051601; (c) 2010 The American Physical Society; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
ASYMPTOTIC SOLUTIONS
COMPUTERIZED SIMULATION
CORRELATIONS
MANY-BODY PROBLEM
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
NUCLEON-NUCLEON POTENTIAL
SCATTERING
SPECTROSCOPIC FACTORS
TRANSFORMATIONS
WAVE FUNCTIONS
DIMENSIONLESS NUMBERS
FUNCTIONS
MATHEMATICAL SOLUTIONS
POTENTIALS
SIMULATION