A Comparative Analysis of R-Matrix Fitting: 12C(p, γ) 13N as Test Case

LUNA Collaboration; J. Skowronski; D Piatti; D. Rapagnani; M. Aliotta; C. Ananna; Lucia Barbieri; F Barile; D Bemmerer; A Best; A Boeltzig; C Broggini; C. G. Bruno; A Caciolli; M. Campostrini; F. Casaburo; F Cavanna; G F  Ciani; P Colombetti; A. Compagnucci; P Corvisiero; L. Csedreki; T. Davinson; R Depalo; A Di Leva; Z Elekes; F Ferraro; A Formicola; Zs Fulop; G Gervino; R M Gesue; A Guglielmetti; C Gustavino; Gy Gyurky; G Imbriani; M Junker; M Lugaro; P Marigo; J. Marsh; E Masha; R Menegazzo; D Mercogliano; V Paticchio; R Perrino; P Prati; V. Rigato; D. Robb; L Schiavulli; R. S. Sidhu; O Straniero; T Szucs; S. Turkat; S Zavatarelli

doi:10.1103/PhysRevC.111.035802

A Comparative Analysis of R-Matrix Fitting: 12C(p, γ) 13N as Test Case

LUNA Collaboration, J. Skowronski^*, D Piatti, D. Rapagnani, M. Aliotta, C. Ananna, Lucia Barbieri, F Barile, D Bemmerer, A Best, A Boeltzig, C Broggini, C. G. Bruno, A Caciolli, M. Campostrini, F. Casaburo, F Cavanna, G F Ciani, P Colombetti, A. CompagnucciP Corvisiero, L. Csedreki, T. Davinson, R Depalo, A Di Leva, Z Elekes, F Ferraro, A Formicola, Zs Fulop, G Gervino, R M Gesue, A Guglielmetti, C Gustavino, Gy Gyurky, G Imbriani, M Junker, M Lugaro, P Marigo, J. Marsh, E Masha, R Menegazzo, D Mercogliano, V Paticchio, R Perrino, P Prati, V. Rigato, D. Robb, L Schiavulli, R. S. Sidhu, O Straniero, T Szucs, S. Turkat, S Zavatarelli

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

In nuclear astrophysics, the accurate determination of nuclear reaction cross sections at astrophysical energies is critical for understanding stellar evolution and nucleosynthesis. This study
focuses on the 12C(p, γ)13N reaction, which takes part in the CNO cycle and is significant for determining the 12C/13C ratio in stellar interiors. Data from various studies, including recent LUNA
measurements, reveal high discrepancies in cross section values, underscoring the need for robust
fitting approaches. Utilizing the R-matrix theory, we compare different frequentist and Bayesian
methodologies for estimating reaction cross sections and their uncertainties. The analysis evaluates the strengths and weaknesses of different statistical techniques, highlighting the importance of
systematic uncertainty treatment and the estimate of covariance matrix estimation to enhance the
reliability and reproducibility of uncertainty estimates in nuclear astrophysics.

Original language	English
Article number	035802
Pages (from-to)	1-13
Number of pages	13
Journal	Physical Review C
Volume	111
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevC.111.035802
Publication status	Published - 7 Mar 2025

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10.1103/PhysRevC.111.035802

R_Matrix_12C61Accepted author manuscript, 3.25 MBLicence: Creative Commons: Attribution (CC-BY)

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LUNA Collaboration, Skowronski, J., Piatti, D., Rapagnani, D., Aliotta, M., Ananna, C., Barbieri, L., Barile, F., Bemmerer, D., Best, A., Boeltzig, A., Broggini, C., Bruno, C. G., Caciolli, A., Campostrini, M., Casaburo, F., Cavanna, F., Ciani, G. F., Colombetti, P., ... Zavatarelli, S. (2025). A Comparative Analysis of R-Matrix Fitting: 12C(p, γ) 13N as Test Case. Physical Review C, 111(3), 1-13. Article 035802. https://doi.org/10.1103/PhysRevC.111.035802

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title = "A Comparative Analysis of R-Matrix Fitting: 12C(p, γ) 13N as Test Case",

abstract = "In nuclear astrophysics, the accurate determination of nuclear reaction cross sections at astrophysical energies is critical for understanding stellar evolution and nucleosynthesis. This studyfocuses on the 12C(p, γ)13N reaction, which takes part in the CNO cycle and is significant for determining the 12C/13C ratio in stellar interiors. Data from various studies, including recent LUNAmeasurements, reveal high discrepancies in cross section values, underscoring the need for robustfitting approaches. Utilizing the R-matrix theory, we compare different frequentist and Bayesianmethodologies for estimating reaction cross sections and their uncertainties. The analysis evaluates the strengths and weaknesses of different statistical techniques, highlighting the importance ofsystematic uncertainty treatment and the estimate of covariance matrix estimation to enhance thereliability and reproducibility of uncertainty estimates in nuclear astrophysics.",

author = "{LUNA Collaboration} and J. Skowronski and D Piatti and D. Rapagnani and M. Aliotta and C. Ananna and Lucia Barbieri and F Barile and D Bemmerer and A Best and A Boeltzig and C Broggini and Bruno, {C. G.} and A Caciolli and M. Campostrini and F. Casaburo and F Cavanna and Ciani, {G F} and P Colombetti and A. Compagnucci and P Corvisiero and L. Csedreki and T. Davinson and R Depalo and {Di Leva}, A and Z Elekes and F Ferraro and A Formicola and Zs Fulop and G Gervino and Gesue, {R M} and A Guglielmetti and C Gustavino and Gy Gyurky and G Imbriani and M Junker and M Lugaro and P Marigo and J. Marsh and E Masha and R Menegazzo and D Mercogliano and V Paticchio and R Perrino and P Prati and V. Rigato and D. Robb and L Schiavulli and Sidhu, {R. S.} and O Straniero and T Szucs and S. Turkat and S Zavatarelli",

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LUNA Collaboration, Skowronski, J, Piatti, D, Rapagnani, D, Aliotta, M, Ananna, C, Barbieri, L, Barile, F, Bemmerer, D, Best, A, Boeltzig, A, Broggini, C, Bruno, CG, Caciolli, A, Campostrini, M, Casaburo, F, Cavanna, F, Ciani, GF, Colombetti, P, Compagnucci, A, Corvisiero, P, Csedreki, L, Davinson, T, Depalo, R, Di Leva, A, Elekes, Z, Ferraro, F, Formicola, A, Fulop, Z, Gervino, G, Gesue, RM, Guglielmetti, A, Gustavino, C, Gyurky, G, Imbriani, G, Junker, M, Lugaro, M, Marigo, P, Marsh, J, Masha, E, Menegazzo, R, Mercogliano, D, Paticchio, V, Perrino, R, Prati, P, Rigato, V, Robb, D, Schiavulli, L, Sidhu, RS, Straniero, O, Szucs, T, Turkat, S & Zavatarelli, S 2025, 'A Comparative Analysis of R-Matrix Fitting: 12C(p, γ) 13N as Test Case', Physical Review C, vol. 111, no. 3, 035802, pp. 1-13. https://doi.org/10.1103/PhysRevC.111.035802

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T1 - A Comparative Analysis of R-Matrix Fitting: 12C(p, γ) 13N as Test Case

AU - LUNA Collaboration

AU - Skowronski, J.

AU - Piatti, D

AU - Rapagnani, D.

AU - Aliotta, M.

AU - Ananna, C.

AU - Barbieri, Lucia

AU - Barile, F

AU - Bemmerer, D

AU - Best, A

AU - Boeltzig, A

AU - Broggini, C

AU - Bruno, C. G.

AU - Caciolli, A

AU - Campostrini, M.

AU - Casaburo, F.

AU - Cavanna, F

AU - Ciani, G F

AU - Colombetti, P

AU - Compagnucci, A.

AU - Corvisiero, P

AU - Csedreki, L.

AU - Davinson, T.

AU - Depalo, R

AU - Di Leva, A

AU - Elekes, Z

AU - Ferraro, F

AU - Formicola, A

AU - Fulop, Zs

AU - Gervino, G

AU - Gesue, R M

AU - Guglielmetti, A

AU - Gustavino, C

AU - Gyurky, Gy

AU - Imbriani, G

AU - Junker, M

AU - Lugaro, M

AU - Marigo, P

AU - Marsh, J.

AU - Masha, E

AU - Menegazzo, R

AU - Mercogliano, D

AU - Paticchio, V

AU - Perrino, R

AU - Prati, P

AU - Rigato, V.

AU - Robb, D.

AU - Schiavulli, L

AU - Sidhu, R. S.

AU - Straniero, O

AU - Szucs, T

AU - Turkat, S.

AU - Zavatarelli, S

PY - 2025/3/7

Y1 - 2025/3/7

N2 - In nuclear astrophysics, the accurate determination of nuclear reaction cross sections at astrophysical energies is critical for understanding stellar evolution and nucleosynthesis. This studyfocuses on the 12C(p, γ)13N reaction, which takes part in the CNO cycle and is significant for determining the 12C/13C ratio in stellar interiors. Data from various studies, including recent LUNAmeasurements, reveal high discrepancies in cross section values, underscoring the need for robustfitting approaches. Utilizing the R-matrix theory, we compare different frequentist and Bayesianmethodologies for estimating reaction cross sections and their uncertainties. The analysis evaluates the strengths and weaknesses of different statistical techniques, highlighting the importance ofsystematic uncertainty treatment and the estimate of covariance matrix estimation to enhance thereliability and reproducibility of uncertainty estimates in nuclear astrophysics.

AB - In nuclear astrophysics, the accurate determination of nuclear reaction cross sections at astrophysical energies is critical for understanding stellar evolution and nucleosynthesis. This studyfocuses on the 12C(p, γ)13N reaction, which takes part in the CNO cycle and is significant for determining the 12C/13C ratio in stellar interiors. Data from various studies, including recent LUNAmeasurements, reveal high discrepancies in cross section values, underscoring the need for robustfitting approaches. Utilizing the R-matrix theory, we compare different frequentist and Bayesianmethodologies for estimating reaction cross sections and their uncertainties. The analysis evaluates the strengths and weaknesses of different statistical techniques, highlighting the importance ofsystematic uncertainty treatment and the estimate of covariance matrix estimation to enhance thereliability and reproducibility of uncertainty estimates in nuclear astrophysics.

U2 - 10.1103/PhysRevC.111.035802

DO - 10.1103/PhysRevC.111.035802

M3 - Article

SN - 2469-9985

VL - 111

SP - 1

EP - 13

JO - Physical Review C

JF - Physical Review C

IS - 3

M1 - 035802

ER -

A Comparative Analysis of R-Matrix Fitting: 12C(p, γ) 13N as Test Case

Abstract

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