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Adsley P, Heine M, Jenkins DG, Courtin S, Neveling R, Brümmer JW, Donaldson LM, Kheswa NY, Li KCW, Marín-Lámbarri DJ, Mabika PZ, Papka P, Pellegri L, Pesudo V, Rebeiro B, Smit FD, Yahia-Cherif W. Extending the Hoyle-State Paradigm to ^{12}C+^{12}C Fusion. Phys Rev Lett 2022; 129:102701. [PMID: 36112434 DOI: 10.1103/physrevlett.129.102701] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/09/2021] [Revised: 07/23/2021] [Accepted: 07/26/2022] [Indexed: 06/15/2023]
Abstract
Carbon burning is a key step in the evolution of massive stars, Type 1a supernovae and superbursts in x-ray binary systems. Determining the ^{12}C+^{12}C fusion cross section at relevant energies by extrapolation of direct measurements is challenging due to resonances at and below the Coulomb barrier. A study of the ^{24}Mg(α,α^{'})^{24}Mg reaction has identified several 0^{+} states in ^{24}Mg, close to the ^{12}C+^{12}C threshold, which predominantly decay to ^{20}Ne(ground state)+α. These states were not observed in ^{20}Ne(α,α_{0})^{20}Ne resonance scattering suggesting that they may have a dominant ^{12}C+^{12}C cluster structure. Given the very low angular momentum associated with sub-barrier fusion, these states may play a decisive role in ^{12}C+^{12}C fusion in analogy to the Hoyle state in helium burning. We present estimates of updated ^{12}C+^{12}C fusion reaction rates.
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Affiliation(s)
- P Adsley
- School of Physics, University of the Witwatersrand, Johannesburg 2050, South Africa
- iThemba Laboratory for Accelerator Based Sciences, Somerset West 7129, South Africa
| | - M Heine
- IPHC, Université de Strasbourg, Strasbourg F-67037, France
- CNRS, UMR7178, Strasbourg F-67037, France
| | - D G Jenkins
- Department of Physics, University of York, Heslington, York, YO10 5DD, United Kingdom
- USIAS/Université de Strasbourg, Strasbourg F-67083, France
- Department of Physics and Astronomy, University of the Western Cape, P/B X17, Bellville 7535, South Africa
| | - S Courtin
- IPHC, Université de Strasbourg, Strasbourg F-67037, France
- CNRS, UMR7178, Strasbourg F-67037, France
- USIAS/Université de Strasbourg, Strasbourg F-67083, France
| | - R Neveling
- iThemba Laboratory for Accelerator Based Sciences, Somerset West 7129, South Africa
| | - J W Brümmer
- Department of Physics, Stellenbosch University, Private Bag X1, 7602 Matieland, Stellenbosch, South Africa
| | - L M Donaldson
- iThemba Laboratory for Accelerator Based Sciences, Somerset West 7129, South Africa
| | - N Y Kheswa
- iThemba Laboratory for Accelerator Based Sciences, Somerset West 7129, South Africa
| | - K C W Li
- Department of Physics, Stellenbosch University, Private Bag X1, 7602 Matieland, Stellenbosch, South Africa
| | - D J Marín-Lámbarri
- iThemba Laboratory for Accelerator Based Sciences, Somerset West 7129, South Africa
- Department of Physics and Astronomy, University of the Western Cape, P/B X17, Bellville 7535, South Africa
- Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000 Cd. México, México
| | - P Z Mabika
- Department of Physics and Astronomy, University of the Western Cape, P/B X17, Bellville 7535, South Africa
| | - P Papka
- iThemba Laboratory for Accelerator Based Sciences, Somerset West 7129, South Africa
- Department of Physics, Stellenbosch University, Private Bag X1, 7602 Matieland, Stellenbosch, South Africa
| | - L Pellegri
- School of Physics, University of the Witwatersrand, Johannesburg 2050, South Africa
- iThemba Laboratory for Accelerator Based Sciences, Somerset West 7129, South Africa
| | - V Pesudo
- iThemba Laboratory for Accelerator Based Sciences, Somerset West 7129, South Africa
- Department of Physics and Astronomy, University of the Western Cape, P/B X17, Bellville 7535, South Africa
- Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas, Madrid 28040, Spain
| | - B Rebeiro
- Department of Physics and Astronomy, University of the Western Cape, P/B X17, Bellville 7535, South Africa
| | - F D Smit
- iThemba Laboratory for Accelerator Based Sciences, Somerset West 7129, South Africa
| | - W Yahia-Cherif
- Université des Sciences et de la Technologie Houari Boumediene (USTHB), Faculté de Physique, B.P. 32 El-Alia, 16111 Bab Ezzouar, Algiers, Algeria
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Abstract
The carbon fusion reaction is crucial in stellar evolution. Despite six decades of studies, there is still a large uncertainty in the reaction rate which limits our understanding of various stellar objects, such as massive stars, type Ia supernovae, and superbursts. In this paper, we review the experimental and theoretical studies of the carbon fusion reaction at sub-barrier energies. An outlook for future studies is also presented.
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Morales-Gallegos L, Aliotta M, Best A, Bruno CG, Buompane R, Davinson T, De Cesare M, Di Leva A, D’Onofrio A, Duarte JG, Gasques L, Gialanella L, Imbriani G, Porzio G, Rapagnani D, Romoli M, Terrasi F. Direct measurements of the 12C( 12C,p) 23Na and 12C( 12C,α) 20Ne reactions at low energies for Nuclear Astrophysics. EPJ Web Conf 2022. [DOI: 10.1051/epjconf/202226001006] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
12C+12C reactions are crucial in the evolution of massive stars and explosive scenarios. The measurement of these reactions at astrophysical energies is very challenging due to their extremely small cross sections, and the presence of beam induced background originated by the natural 1,2H contaminants in the C targets. In addition, the many discrepancies between different data sets and the complicated resonant structure of the cross sections make the extrapolation to low energies very uncertain. Recently, we performed a direct measurement of the 12C+12C reactions at the CIRCE Laboratory in Italy. Results from a study on target contamination were used, allowing us to measure cross sections at Ec.m. =2.51 − 4.36 MeV with 10-25 keV energy steps. Two stage ΔE-Erest detectors were used for unambiguous particle identification. Branching ratios of individual particle groups were found to vary significantly with energy and angular distributions were also found to be anisotropic, which could be a potential explanation for the discrepancies observed among different data sets.
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Heine M, Fruet G, Courtin S, Jenkins D, Adsley P, Brown A, Canavan R, Catford W, Charon E, Curien D, Della Negra S, Duprat J, Hammache F, Lesrel J, Lotay G, Meyer A, Monpribat E, Montanari D, Morris L, Moukaddam M, Nippert J, Podolyák Z, Regan P, Ribaud I, Richer M, Rudigier M, Shearman R, de Séréville N, Stodel C. Direct Measurement of Carbon Fusion at Astrophysical Energies with Gamma-Particle Coincidences. EPJ Web Conf 2022. [DOI: 10.1051/epjconf/202226001004] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present 12C+12C direct fusion measurements with STELLA UKFATIMA, that reach into the region of astrophysics interest relevant to massive stars (M⊙ ≈ 25) using self-supporting thin rotating carbon foils [1]. We demonstrate that detecting gammas and light charged particles in coincidence with nanosecond timing is key for effective background reduction achieving reliable measurements in the sub-nanobarn range. We give details about core developments of the detection apparatus as well as the coincidence-analysis procedure of low count statistics. The present data largely follows the phenomenological hindrance interpolation and shows indication for resonant behaviour at the lowest energy explored.
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Buompane R, Di Leva A, Gialanella L, Imbriani G, Morales-gallegos L, Romoli M. Recent Achievements of the ERNA Collaboration. Universe 2022; 8:135. [DOI: 10.3390/universe8020135] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
Abstract
For more than two decades, the ERNA collaboration has investigated nuclear processes of astrophysical interest through the direct measurement of cross sections or the identification of the nucleosynthesis effects. Measurements of cross-section, reported in this publication, of radiative capture reactions have been mainly conducted using the ERNA Recoil Mass Separator, and more recently with an array of charged particle detector telescopes designed for nuclear astrophysics measurements. Some results achieved with ERNA will be reviewed, with a focus on the results most relevant for nucleosynthesis in AGB and advanced burning phases.
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Bonasera A. Newtonian dynamics of imaginary time-dependent mean field theory. EPJ Web Conf 2021. [DOI: 10.1051/epjconf/202125205001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A Time Dependent Hartree-Fock (TDHF) based classical model is applied to sub-barrier fusion reactions using the Feynman Path Integral Method (FPIM). The fusion cross-sections and modified astrophysical S*-factors are calculated for the 12C+12C reactions and compared to direct and indirect experimental results. Different channels cross-sections are estimated from the statistical decay of the compound nucleus. A good agreement with the direct data is found. We suggest a complementary observable given by the (imaginary) action A easily derived from theory and experiments. When properly normalized by the action in the Gamow limit it has an upper value of 1 at zero beam energies. It becomes negative at the Coulomb barrier which is Vcb=5.05±0.05MeV from direct data and Vcb=5.5MeV from model calculations.
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Tan WP, Boeltzig A, Dulal C, deBoer RJ, Frentz B, Henderson S, Howard KB, Kelmar R, Kolata JJ, Long J, Macon KT, Moylan S, Peaslee GF, Renaud M, Seymour C, Seymour G, Vande Kolk B, Wiescher M, Aguilera EF, Amador-Valenzuela P, Lizcano D, Martinez-Quiroz E. New Measurement of ^{12}C+^{12}C Fusion Reaction at Astrophysical Energies. Phys Rev Lett 2020; 124:192702. [PMID: 32469557 DOI: 10.1103/physrevlett.124.192702] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/28/2019] [Revised: 09/19/2019] [Accepted: 04/20/2020] [Indexed: 06/11/2023]
Abstract
Carbon and oxygen burning reactions, in particular, ^{12}C+^{12}C fusion, are important for the understanding and interpretation of the late phases of stellar evolution as well as the ignition and nucleosynthesis in cataclysmic binary systems such as type Ia supernovae and x-ray superbursts. A new measurement of this reaction has been performed at the University of Notre Dame using particle-γ coincidence techniques with SAND (a silicon detector array) at the high-intensity 5U Pelletron accelerator. New results for ^{12}C+^{12}C fusion at low energies relevant to nuclear astrophysics are reported. They show strong disagreement with a recent measurement using the indirect Trojan Horse method. The impact on the carbon burning process under astrophysical scenarios will be discussed.
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Affiliation(s)
- W P Tan
- Department of Physics and Institute for Structure and Nuclear Astrophysics (ISNAP), University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - A Boeltzig
- Department of Physics and Institute for Structure and Nuclear Astrophysics (ISNAP), University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - C Dulal
- Department of Physics and Institute for Structure and Nuclear Astrophysics (ISNAP), University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - R J deBoer
- Department of Physics and Institute for Structure and Nuclear Astrophysics (ISNAP), University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - B Frentz
- Department of Physics and Institute for Structure and Nuclear Astrophysics (ISNAP), University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - S Henderson
- Department of Physics and Institute for Structure and Nuclear Astrophysics (ISNAP), University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - K B Howard
- Department of Physics and Institute for Structure and Nuclear Astrophysics (ISNAP), University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - R Kelmar
- Department of Physics and Institute for Structure and Nuclear Astrophysics (ISNAP), University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - J J Kolata
- Department of Physics and Institute for Structure and Nuclear Astrophysics (ISNAP), University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - J Long
- Department of Physics and Institute for Structure and Nuclear Astrophysics (ISNAP), University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - K T Macon
- Department of Physics and Institute for Structure and Nuclear Astrophysics (ISNAP), University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - S Moylan
- Department of Physics and Institute for Structure and Nuclear Astrophysics (ISNAP), University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - G F Peaslee
- Department of Physics and Institute for Structure and Nuclear Astrophysics (ISNAP), University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - M Renaud
- Department of Physics and Institute for Structure and Nuclear Astrophysics (ISNAP), University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - C Seymour
- Department of Physics and Institute for Structure and Nuclear Astrophysics (ISNAP), University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - G Seymour
- Department of Physics and Institute for Structure and Nuclear Astrophysics (ISNAP), University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - B Vande Kolk
- Department of Physics and Institute for Structure and Nuclear Astrophysics (ISNAP), University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - M Wiescher
- Department of Physics and Institute for Structure and Nuclear Astrophysics (ISNAP), University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - E F Aguilera
- Departamento de Aceleradores, Instituto Nacional de Investigaciones Nucleares, Apartado Postal 18-1027, Codigo Postal 11801, Mexico, D.F., Mexico
| | - P Amador-Valenzuela
- Departamento de Aceleradores, Instituto Nacional de Investigaciones Nucleares, Apartado Postal 18-1027, Codigo Postal 11801, Mexico, D.F., Mexico
| | - D Lizcano
- Departamento de Aceleradores, Instituto Nacional de Investigaciones Nucleares, Apartado Postal 18-1027, Codigo Postal 11801, Mexico, D.F., Mexico
| | - E Martinez-Quiroz
- Departamento de Aceleradores, Instituto Nacional de Investigaciones Nucleares, Apartado Postal 18-1027, Codigo Postal 11801, Mexico, D.F., Mexico
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