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Title: 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

Abstract

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 largemore » 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.« less

Authors:
 [1];  [1];  [2]
  1. Institut fuer Physik, Universitaet Mainz, D-55099 Mainz (Germany)
  2. Cyclotron Institute, Texas A and M University, College Station, Texas 77843 (United States)
Publication Date:
OSTI Identifier:
20695950
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 71; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevC.71.024605; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Alt, E O, Irgaziev, B F, Cyclotron Institute, Texas A and M University, College Station, Texas 77843, and Mukhamedzhanov, A M. 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. United States: N. p., 2005. Web. doi:10.1103/PhysRevC.71.024605.
Alt, E O, Irgaziev, B F, Cyclotron Institute, Texas A and M University, College Station, Texas 77843, & Mukhamedzhanov, A M. 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. United States. https://doi.org/10.1103/PhysRevC.71.024605
Alt, E O, Irgaziev, B F, Cyclotron Institute, Texas A and M University, College Station, Texas 77843, and Mukhamedzhanov, A M. 2005. "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". United States. https://doi.org/10.1103/PhysRevC.71.024605.
@article{osti_20695950,
title = {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},
author = {Alt, E O and Irgaziev, B F and Cyclotron Institute, Texas A and M University, College Station, Texas 77843 and Mukhamedzhanov, A M},
abstractNote = {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.},
doi = {10.1103/PhysRevC.71.024605},
url = {https://www.osti.gov/biblio/20695950}, journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 2,
volume = 71,
place = {United States},
year = {2005},
month = {2}
}