Deuteron elastic scattering and stripping processes off {sup 12}C as a three-body problem

Journal Article · Tue May 15 00:00:00 EDT 2007 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.75.054003· OSTI ID:20995262

Alt, E O ^[1]; Blokhintsev, L D ^[2]; Mukhamedzhanov, A M ^[3]; Sattarov, A I ^[4]

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1. Institut fuer Physik, Universitaet Mainz, D-55099 Mainz (Germany)
2. Research Institute for Nuclear Physics, Moscow State University, Moscow (Russian Federation)
3. Cyclotron Institute, Texas A and M University, College Station, Texas 77843 (United States)
4. Department of Physics, Texas A and M University, College Station, Texas 77843 (United States)

Deuteron elastic scattering and stripping processes off a target nucleus consisting of A nucleons are treated within the framework of the few-body integral equations theory. By projecting the (A+2)-body operators onto target states, matrix three-body integral equations are derived that allow for the incorporation of the excited states of the target nucleons. This approach is applied to deuteron scattering off {sup 12}C when the latter is in its ground state before and after the reaction. For the nucleon-{sup 12}C subsystem three sets of (quasi-separable) potentials are employed. The first such potential is based on the one derived by Cattapan et al. [Nucl. Phys. A241, 204 (1975)] for orbital angular momentum states with L{<=}2, which is valid for low energies. As second set we use the potential of Miyagawa and Koike [Prog. Theor. Phys. 82, 329 (1989)] fitted to semiphenomenological higher-energy phase shifts for states up to L=6. The third one finally consists for 3{<=}L{<=}5 of the potential set of Miyagawa and Koike, whereas the potential parameters for L{<=}2 are determined by simultaneously fitting the elastic-channel T matrix obtained as solution of multichannel two-body Lippmann-Schwinger equations, to the experimental low-energy and the semiphenomenological higher-energy phase shifts. For the nucleon-nucleon interaction we take one of the separable {sup 3}S{sub 1}-{sup 3}D{sub 1} potentials of Phillips [Nucl. Phys. A107, 207 (1968)]. Differential cross sections for the elastic-scattering reaction d+{sup 12}C {yields}d+{sup 12}C and the transfer reaction d+{sup 12}C {yields}p+{sup 13}C({sup 13}C*) are calculated at deuteron bombarding energies of 4.66 and 15 MeV (up to 36-channel calculation), and at 56 MeV (up to 76-channel calculation) together with some selected analyzing powers, and are compared with experimental data. At the highest energy considered, the decomposition of the differential cross section into the near-side and the far-side components shows the appearance of nuclear rainbow scattering.

• OSTI ID: 20995262
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 75, Issue 5; Other Information: DOI: 10.1103/PhysRevC.75.054003; (c) 2007 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
CARBON 12
CARBON 13
DEUTERONS
DIFFERENTIAL CROSS SECTIONS
ELASTIC SCATTERING
EXCITED STATES
GROUND STATES
LIPPMANN-SCHWINGER EQUATION
MEV RANGE
NUCLEON-NUCLEON INTERACTIONS
NUCLEONS
ORBITAL ANGULAR MOMENTUM
PHASE SHIFT
POLARIZATION-ASYMMETRY RATIO
POTENTIALS
S MATRIX
STRIPPING
THREE-BODY PROBLEM
TWO-BODY PROBLEM