Reply to the Comments on the 12C+12C fusion S^*-factor

Tumino, A.; Spitaleri, C.; M., La Cognata,; Cherubini, S.; L., Guardo, G.; Gulino, M.; Hayakawa, S.; Indelicato, I.; L., Lamia,; Petrascu, H.; G., Pizzone, R.; Puglia, S. M. R.; Rapisarda, G. G.; S., Romano,; Sergi, M. L.; Spartá, R.; Trache, L.

doi:10.48550/arxiv.1807.06148

Cited by 6 publications

(10 citation statements)

References 27 publications

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“…These indirect data show a very steep rise of the 12 C+ 12 C astrophysical factor with decreasing energy, where the resonant peak at around 0.9 MeV is larger than the empirical S factor extrapolated by Fowler et al [4] by a factor of several thousands. Such a huge jump of the 12 C+ 12 C astrophysical S factor below the Gamow energy sparked off a strong debate on the use of the THM in this case [66,67]. Moreover, the existing extrapolated reactions can proceed through different configurations of 24 Mg , and it is quite complicated to take all these reaction channels into account properly in the coupled reaction channel calculation.…”

Section: Results Of the Om Analysis And Discussionmentioning

confidence: 99%

“…10 together with the phenomenological S factor suggested by Fowler et al [4], based on the "black body" model using a phenomenological nuclear potential with parameters adjusted by the best BPM fit to the data of the direct measurements of 12 C+ 12 C fusion. Because of the ongoing debate on the THM [66,67] and the resulting uncertainty of recent data [25] from indirect measurement of 12 C+ 12 C fusion, these data were not included in the present discussion. One can see in Fig.…”

Section: Results Of the Om Analysis And Discussionmentioning

confidence: 99%

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Consistent mean-field description of theC12 + C12optical potential at low energies and the astrophysical

et al. 2018

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The nuclear mean-field potential built up by the 12 C+ 12 C interaction at energies relevant for the carbon burning process is calculated in the double-folding model (DFM) using the realistic groundstate density of 12 C and the CDM3Y3 density dependent nucleon-nucleon (NN) interaction, with the rearrangement term properly included. To validate the use of a density dependent NN interaction in the DFM calculation in the low-energy regime, an adiabatic approximation is suggested for the nucleus-nucleus overlap density. The reliability of the nuclear mean-field potential predicted by this low-energy version of the DFM is tested in a detailed optical model analysis of the elastic 12 C+ 12 C scattering data at energies below 10 MeV/nucleon. The folded mean-field potential is then used to study the astrophysical S factor of 12 C+ 12 C fusion in the barrier penetration model.Without any adjustment of the potential strength, our results reproduce very well the non-resonant behavior of the S factor of 12 C+ 12 C fusion over a wide range of energies.

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Section: Results Of the Om Analysis And Discussionmentioning

confidence: 99%

Section: Results Of the Om Analysis And Discussionmentioning

confidence: 99%

Consistent mean-field description of theC12 + C12optical potential at low energies and the astrophysical

et al. 2018

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“…5(a). There is an on-going debate [32][33][34] about how to extrapolate the THM measurements down to the stellar energies. Both accurate direct measurements at energies below E c.m.…”

Section: Discussionmentioning

confidence: 99%

Constraining the $^{12}$C+$^{12}$C astrophysical S-factors with the $^{12}$C+$^{13}$C measurements at very low energies

Zhang,

Wang,

Chen

et al. 2019

Preprint

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We use an underground counting lab with an extremely low background to perform an activity measurement for the 12 C+ 13 C system with energies down to E c.m. =2.323 MeV, at which the 12 C( 13 C,p) 24 Na cross section is found to be 0.22(7) nb. The 12 C+ 13 C fusion cross section is derived with a statistical model calibrated using experimental data. Our new result of the 12 C+ 13 C fusion cross section is the first decisive evidence in the carbon isotope systems which rules out the existence of the astrophysical Sfactor maximum predicted by the phenomenological hindrance model, while confirming the rising trend of the S-factor towards lower energies predicted by other models, such as CC-M3Y+Rep, DC-TDHF, KNS, SPP and ESW. After normalizing the model predictions with our data, a more reliable upper limit is established for the 12 C+ 12 C fusion cross sections at stellar energies.

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“…These DCSs increase when the scattering angle of the deuterons increases. It also demonstrates that the statement in [6] that the deuterons cannot be emitted to backward angles is not correct. • In Eq.…”

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confidence: 98%

“…Note that the resonance energies, which can be observed in the THM experiment, are E < 3.56 MeV, because at E > 3.56 MeV, the resonance energy in the p + 23 Na channel is 3.56 + Q 2 > 5.8 MeV, that is, the d − 24 Mg relative kinetic energy is E d− 24 Mg < 0. That is why the extrapolation of the S * (E)-factor beyond this energy, as it is done in [6], is difficult to justify.…”

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confidence: 99%

Astrophysical factors of ${}^{12}{\rm C}+{}^{12}{\rm C}$ fusion from Trojan horse method

Mukhamedzhanov,

Pang

2018

Preprint

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Carbon-carbon burning plays an important role in many stellar environments. Recently, using the indirect Trojan horse method A. Tumino et al. reported [Nature 557 687 (2018)] a strong rise of the astrophysical factor for the carbon-carbon fusion at low resonance energies. In this paper, we demonstrate that this rise is the artifact of using an invalid plane-wave approximation. It is shown that the calculated renormalization factor decreases the astrophysical factor from [A. Tumino et al., Nature 557 687 (2018)] at the resonance energies of E = 0.8 − 0.9 MeV by as much as ≈ 10 3 times. .

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Reply to the Comments on the 12C+12C fusion S^*-factor

Cited by 6 publications

References 27 publications

Consistent mean-field description of theC12 + C12optical potential at low energies and the astrophysical

Consistent mean-field description of theC12 + C12optical potential at low energies and the astrophysical

Constraining the $^{12}$C+$^{12}$C astrophysical S-factors with the $^{12}$C+$^{13}$C measurements at very low energies

Astrophysical factors of ${}^{12}{\rm C}+{}^{12}{\rm C}$ fusion from Trojan horse method

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