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

2019/10/01 by M. Katsuma, Katsuma, M.
Physics and Astronomy · #FOS: Physical sciences #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th) #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1910.00158

openalex publication_date 2019/10/01 · openalex created_date 2019/10/10 · openalex updated_date 2026/07/28

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 E1 S-factor of ¹²C(α,γ₀)¹⁶O. As an example, weak interference between 1^- states in ¹⁶O 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 E1 S-factor at E_c.m. = 300 keV is found to be reduced from the current evaluation.

Related

• Reduced E1 S-factor of ¹²C(α,γ₀)¹⁶O
• Shadow poles in Brune parametrization of R-matrix theory
• Formal and Physical R-matrix parameters
• Eigenphase shift decomposition of the RPA strength function based on the Jost-RPA method
• Model Independent Extraction of S-Matrix Poles from Experimental Data