Investigation of secondary γ -ray angular distributions using the N 15 (p,α1γ) C ∗ 12 reaction

R. J. Deboer, A. Boeltzig, K. T. Macon, S. Aguilar, O. Gomez, B. Frentz, S. L. Henderson, R. Kelmar, M. Renaud, G. Seymour, B. Vande Kolk, M. Wiescher, C. R. Brune, S. P. Burcher, K. L. Jones, J. M. Kovoor, M. Febbraro, G. Imbriani, S. Mosby, K. SmithR. Toomey

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Abstract

The observation of secondary γ-rays provides an alternative method of measuring cross sections that populate excited final states in nuclear reactions. The angular distributions of these γ-rays also provide information on the underlying reaction mechanism. Despite the large number of data of this type in the literature, publicly available R-matrix codes do not have the ability to calculate these types of angular distributions. In this paper, the mathematical formalism derived by C. R. Brune and R. J. deBoer [Phys. Rev. C 102, 024628 (2020)2469-998510.1103/PhysRevC.102.024628] is implemented in the R-matrix code azure2 and calculations are compared with previous data from the literature for the N15(p,α1γ)C∗12 reaction. In addition, new measurements, made at the University of Notre Dame Nuclear Science Laboratory using the Hybrid Array of Gamma Ray Detectors (HAGRiD), are reported that span the energy range from Ep=0.88 MeV to Ep=4.0MeV. Excellent agreement between the data and the phenomenological fit is obtained up to the limit of the previous fit at Ep=2.0MeV and the R-matrix fit is extended from Ex≈13.5 MeV up to Ex≈15.3 MeV, where N15+p and C12+α reactions are fit simultaneously for the first time. An excellent reproduction of the N15(p,α1γ)C∗12 and C12(α,α)C12 data is achieved, but inconsistencies and difficulty in fitting other data are encountered and discussed.

Original languageEnglish
Article number065801
JournalPhysical Review C
Volume103
Issue number6
DOIs
StatePublished - Jun 2021

Funding

This research utilized resources from the Notre Dame Center for Research Computing and was supported by the National Science Foundation through Grant No. Phys-0758100 and the Joint Institute for Nuclear Astrophysics through Grant Nos. Phys-0822648 and PHY-1430152 (JINA Center for the Evolution of the Elements). The work at Ohio University was supported in part by the U.S. Department of Energy, under Grants No. DE-FG02-88ER40387 and No. DE-NA0003883. A portion of this work was supported by the U.S. Department of Energy under Grant No. DE-FG02-96ER40963 and the National Nuclear Security Administration under the Stewardship Science Academic Alliances program through DOE Cooperative Agreement DE-NA002132.

FundersFunder number
Joint Institute for Nuclear AstrophysicsPHY-1430152, Phys-0822648
National Science FoundationPhys-0758100
U.S. Department of EnergyDE-FG02-88ER40387, DE-NA0003883, DE-FG02-96ER40963, DE-NA002132
National Nuclear Security Administration
Ohio University

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