Verification of R-matrix calculations for charged-particle reactions in the resolved resonance region for the 7Be system

Ian J. Thompson; R. J. deBoer; P. Dimitriou; S. Kunieda; M. T. Pigni; G. Arbanas; H. Leeb; Th Srdinko; G. Hale; P. Tamagno; P. Archier

doi:10.1140/epja/i2019-12753-y

Verification of R-matrix calculations for charged-particle reactions in the resolved resonance region for the ⁷Be system

Ian J. Thompson, R. J. deBoer, P. Dimitriou, S. Kunieda, M. T. Pigni, G. Arbanas, H. Leeb, Th Srdinko, G. Hale, P. Tamagno, P. Archier

Nuclear Data

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Abstract

R-matrix theory is used to describe nuclear reactions in the resolved resonance region. It uses information on bound states and low energy resonances to accurately parametrize cross sections on the resonances as well as the non-resonant background. Since the seminal work of Lane and Thomas (1958), the approach has been widely used to analyze experimental cross-section data in a broad range of fields spanning nuclear reaction dynamics, nuclear astrophysics, ion beam analysis and their applications. Different R-matrix codes have been developed and used in these different applications with very little communication among the developers or practitioners on the capabilities, achievements or limitations of the codes. A limited comparison among three R-matrix codes on neutron-induced reactions was performed by the International Atomic Energy Agency (IAEA) International Evaluation of Neutron Cross Section Standards project (2007). Since then, significant progress has been made in their implementation of the R-matrix algorithms, and R-matrix codes have enhanced capabilities. In this paper we present, for the first time, the results of a comprehensive effort to verify the most widely used R-matrix codes in the various fields of nuclear science and applications: AMUR, AZURE2, CONRAD, EDA, FRESCO, GECCCOS, and SAMMY. In addition to the description of the capabilities of the codes and their specifications, we discuss the results of a joint exercise which was coordinated by the International Atomic Energy Agency. The aim of the exercise was to compare calculations of charged-particle reaction cross sections for the light composite system ⁷Be. The calculations were performed by the codes using identical input R-matrix parameters and other specifications and were limited to charged-particle channels.

Original language	English
Article number	92
Journal	European Physical Journal A
Volume	55
Issue number	6
DOIs	https://doi.org/10.1140/epja/i2019-12753-y
State	Published - Jun 1 2019

Funding

This work was performed under an IAEA project on R-matrix Codes for Charged-Particle Reactions in the Resolved-Resonance Region. RJD would like to recognize support from the Notre Dame Center for Research Computing and funding by the National Science Foundation through Grant No. Phys-0758100, and the Joint Institute for Nuclear Astrophysics through Grant No. Phys-0822648. The work of IJT was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA27344. ORNL work was supported by U.S. Department of Energy (DOE), Nuclear Criticality Safety Program (NCSP) funded and managed by National Nuclear Security Administration (NNSA) for DOE.

Funders	Funder number
Joint Institute for Nuclear Astrophysics
Notre Dame Center for Research Computing
Nuclear Criticality Safety Program
National Science Foundation	1713857, Phys-0758100
U.S. Department of Energy
National Nuclear Security Administration
Lawrence Livermore National Laboratory	DE-AC52-07NA27344

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title = "Verification of R-matrix calculations for charged-particle reactions in the resolved resonance region for the 7Be system",

abstract = "R-matrix theory is used to describe nuclear reactions in the resolved resonance region. It uses information on bound states and low energy resonances to accurately parametrize cross sections on the resonances as well as the non-resonant background. Since the seminal work of Lane and Thomas (1958), the approach has been widely used to analyze experimental cross-section data in a broad range of fields spanning nuclear reaction dynamics, nuclear astrophysics, ion beam analysis and their applications. Different R-matrix codes have been developed and used in these different applications with very little communication among the developers or practitioners on the capabilities, achievements or limitations of the codes. A limited comparison among three R-matrix codes on neutron-induced reactions was performed by the International Atomic Energy Agency (IAEA) International Evaluation of Neutron Cross Section Standards project (2007). Since then, significant progress has been made in their implementation of the R-matrix algorithms, and R-matrix codes have enhanced capabilities. In this paper we present, for the first time, the results of a comprehensive effort to verify the most widely used R-matrix codes in the various fields of nuclear science and applications: AMUR, AZURE2, CONRAD, EDA, FRESCO, GECCCOS, and SAMMY. In addition to the description of the capabilities of the codes and their specifications, we discuss the results of a joint exercise which was coordinated by the International Atomic Energy Agency. The aim of the exercise was to compare calculations of charged-particle reaction cross sections for the light composite system 7Be. The calculations were performed by the codes using identical input R-matrix parameters and other specifications and were limited to charged-particle channels.",

author = "Thompson, {Ian J.} and deBoer, {R. J.} and P. Dimitriou and S. Kunieda and Pigni, {M. T.} and G. Arbanas and H. Leeb and Th Srdinko and G. Hale and P. Tamagno and P. Archier",

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AU - Dimitriou, P.

AU - Kunieda, S.

AU - Pigni, M. T.

AU - Arbanas, G.

AU - Leeb, H.

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AU - Hale, G.

AU - Tamagno, P.

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Verification of R-matrix calculations for charged-particle reactions in the resolved resonance region for the ⁷Be system

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