Three-body Coulomb interaction effects in the final state of the {sup 208}Pb({sup 8}B,{sup 7}Be p){sup 208}Pb Coulomb breakup reaction

Journal Article · Tue Feb 01 00:00:00 EST 2005 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.71.024605· OSTI ID:20695950

Alt, E O ^[1]; Irgaziev, B F ^[1]; Mukhamedzhanov, A M ^[2]

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1. Institut fuer Physik, Universitaet Mainz, D-55099 Mainz (Germany)
2. Cyclotron Institute, Texas A and M University, College Station, Texas 77843 (United States)

The photodissociation reaction {sup 8}B+{gamma}{yields}{sup 7}Be+p is used to provide information on the astrophysical S{sub 17} factor of the inverse radiative capture reaction, knowledge of which is crucial for an estimation of the high-energy neutrino flux from the sun. Since, at present, the Coulomb field of a fully stripped nucleus serves as the source of the photons, an adequate analysis requires a genuine three-body treatment of this reaction. Among the uncertainties still affecting present analyses, the possible modification of the dissociation cross section by the post-decay acceleration of the fragments {sup 7}Be and p in the target field plays a major role. Working with the prior form of the dissociation amplitude, we first discuss why the standard approximation for the final-state wave function is not appropriate for a proper investigation of this problem; instead, use of a genuine three-particle wave function for the final state proves to be mandatory. Such is provided by a recently proposed wave function for three charged particles in the continuum [A. M. Mukhamedzhanov and M. Lieber, Phys. Rev. A 54, 3078 (1996)] which possesses all the essential features required. It is an exact solution of the three-body Schroedinger equation, but only asymptotically, i.e., for large distances. Therefore, only qualitative predictions can be made currently, such as predicting the kinematic configurations in which post-decay acceleration effects play a negligible role. Explicit calculations are presented for the single and the double differential cross sections for the {sup 208}Pb({sup 8}B,{sup 7}Be p){sup 208}Pb Coulomb breakup reaction. We also investigate the influence of the E2 multipole and find its contribution to be small for small scattering angles, but comparable to the one from the E1 dipole for large scattering angles.

• OSTI ID: 20695950
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 71, Issue 2; Other Information: DOI: 10.1103/PhysRevC.71.024605; (c) 2005 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
BERYLLIUM 7
BORON 8 REACTIONS
BREAKUP REACTIONS
CAPTURE
COULOMB FIELD
DIFFERENTIAL CROSS SECTIONS
EXACT SOLUTIONS
LEAD 208 TARGET
NUCLEAR DECAY
NUCLEAR FRAGMENTATION
PHOTONS
PROTONS
QUASI-ELASTIC SCATTERING
SCHROEDINGER EQUATION
SOLAR NEUTRINOS
STRIPPING
THREE-BODY PROBLEM
WAVE FUNCTIONS