English

Determination of $S_{17}$ from systematic analyses on $^8$B Coulomb breakup with the Eikonal-CDCC method

Nuclear Theory 2007-05-23 v1

Abstract

A new version of the method of Continuum-Discretized Coupled-Channels method (CDCC) is proposed, that is, the Eikonal-CDCC method (E-CDCC). The E-CDCC equation, for Coulomb dissociation in particular, can easily and safely be solved, since it is a first-order differential equation and contains no huge angular momentum in contrast to the CDCC one. The scattering amplitude calculated by E-CDCC has a similar form to that by CDCC. Then one can construct hybrid amplitude in an intuitive way, i.e., CDCC amplitude is adopted for a smaller angular momentum LL and E-CDCC one for a larger LL related to an impact parameter bb. The hybrid calculation is found to perfectly reproduce the quantum mechanical result for 58^{58}Ni(8^8B,7^7Be+p+p)58^{58}Ni at 240 MeV, which shows its applicability to systematic analysis of 8^8B dissociation to extract the astrophysical factor S17S_{17} with high accuracy.

Keywords

Cite

@article{arxiv.nucl-th/0307024,
  title  = {Determination of $S_{17}$ from systematic analyses on $^8$B Coulomb breakup with the Eikonal-CDCC method},
  author = {Kazuyuki Ogata and M. Yahiro and Y. Iseri and T. Matsumoto and N. Yamashita and M. Kamimura},
  journal= {arXiv preprint arXiv:nucl-th/0307024},
  year   = {2007}
}

Comments

8 pages, 4 figures, to be published in the Proceedings of the 10th International Conference on Nuclear Reaction Mechanisms, Varenna, Villa Monastero, June 9--13, 2003