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arXiv · 1910.00158

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

M. Katsuma
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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.

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M. Katsuma. 2019-10-01. Conversion between the formal and observed parameters in $R$-matrix theory. https://arxiv.org/abs/1910.00158

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