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

Abstract

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 S-factor 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.

References in corpus (13)

• Hindrance of heavy-ion fusion due to nuclear incompressibility
• Study of the 12C+12C fusion reactions near the Gamow energy
• Signature of Shallow Potentials in Deep Sub-barrier Fusion Reactions
• How the Pauli exclusion principle affects fusion of atomic nuclei
• Possible Resonances in the 12C + 12C Fusion Rate and Superburst Ignition
• Microscopic sub-barrier fusion calculations for the neutron star crust
• Effects of mutual excitations in the fusion of carbon isotopes
• Characterizing the astrophysical S-factor for ${}^{12}$C+${}^{12}$C with wave-packet dynamics
• Astrophysical factors of ${}^{12}\mathrm{C}+{}^{12}\mathrm{C}$ fusion from Trojan horse method
• Absence of hindrance in microscopic ${}^{12}$C+${}^{12}$C fusion study
• Impacts of the New Carbon Fusion Cross Sections on Type Ia Supernovae
• Reply to the Comments on the 12C+12C fusion S^*-factor
• Comments on the ${}^{12}\mathrm{C}$-${}^{12}\mathrm{C}$ fusion S*-factor

Cited by in corpus (11)

• Status on ${}^{12}\mathrm{C}+{}^{12}\mathrm{C}$ fusion at deep subbarrier energies: impact of resonances on astrophysical $S^{\ast }$ factors
• Absence of hindrance in microscopic ${}^{12}$C+${}^{12}$C fusion study
• Calculation of the 12C+12C sub-barrier fusion cross section in an imaginary time-dependent mean field theory
• The study of key reactions shaping the post main-sequence evolution of massive stars in underground facilities
• The modified astrophysical S-factor of the ${}^{12}$C+${}^{12}$C fusion reaction at sub-barrier energies
• Progress in Nuclear Astrophysics of East and Southeast Asia
• A facility for direct measurements for nuclear astrophysics at IFIN-HH -- a 3 MV tandem accelerator and an ultra-low background laboratory
• Re-examination of fusion hindrance in astrophysical ${}^{12}$C+${}^{12}$C and ${}^{12}$C+${}^{13}$C reactions
• Fusion dynamics of ${}^{12}$C+${}^{12}$C reaction: An astrophysical interest within the relativistic mean-field approach
• Pocket resonances in low-energy antineutrons reactions with nuclei
• ${\mathrm{S}}^{\ast }(\mathrm{E})$ measurement of the ${}^{12}\mathrm{C}({}^{12}\mathrm{C},\alpha ){}^{20}\mathrm{Ne}$ reaction at astrophysical energies via the Trojan horse method with ${}^{16}\mathrm{O}$ quasi-free breakup