Conversion between the formal and observed parameters in $R$-matrix theory

M. Katsuma

Conversion between the formal and observed parameters in $R$-matrix theory

Nuclear Theory 2019-10-02 v1 Nuclear Experiment

Authors: M. Katsuma

Abstract

The conversion between the formal and observed parameters is obtained from the phase equivalence between the $R$ -matrix and Breit-Wigner formula, and it is applied to a study of the low-energy $E$ 1 $S$ -factor of $^{12}$ C( $\alpha$ , $\gamma_0$ ) $^{16}$ O. As an example, weak interference between 1 $^-$ states in $^{16}$ O is discussed. As well as the ordinary $R$ -matrix method, the present method calculates the $S$ -matrix and cross sections, independent of the boundary condition. Therefore, the $E$ 1 $S$ -factor at $E_{c.m.} = 300$ keV is found to be reduced from the current evaluation.

Cite

@article{arxiv.1910.00158,
  title  = {Conversion between the formal and observed parameters in $R$-matrix theory},
  author = {M. Katsuma},
  journal= {arXiv preprint arXiv:1910.00158},
  year   = {2019}
}

Comments

4 pages, 2 figures; to appear in JPS Conference Proceedings, 15th International Symposium on Origin of Matter and Evolution of Galaxies (OMEG15), Kyoto Japan, July 2-5, 2019

Conversion between the formal and observed parameters in $R$-matrix theory

Abstract

Cite

Comments

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