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Elastic $\alpha$-$^{12}$C scattering for $l=2$ and $E2$ transition of radiative $\alpha$ capture on $^{12}$C, $^{12}$C($\alpha$,$\gamma$)$^{16}$O, are studied in cluster effective field theory. Due to the problem in fixing the asymptotic…

Nuclear Theory · Physics 2025-09-22 Shing-Ichi Ando

The elastic scattering $^{16}$O$+^{12}$C angular distributions at $^{16}$O bombarding energies of 100.0, 115.9 and 124.0 MeV and their optical model description including the $\alpha$-particle exchange contribution calculated in the Coupled…

Nuclear Experiment · Physics 2007-05-23 S. Szilner , W. von Oertzen , Z. Basrak , F. Haas , M. Milin

The $^{12}$C($\alpha,\gamma$)$^{16}$O reaction, an important component of stellar helium burning, has a key role in nuclear astrophysics. It has direct impact on the evolution and final state of massive stars and also influences the…

Nuclear Experiment · Physics 2020-01-08 R. J. Holt , B. W. Filippone

The radiative capture cross sections of $^{12}$C($\alpha$,$\gamma$)$^{16}$O and derived reaction rates are calculated from the direct capture potential model. The resulting $S$-factor at low energies is found to be dominated by $E$2…

Nuclear Theory · Physics 2015-01-27 M. Katsuma

The elastic $\alpha$-$^{12}$C scattering for $l=2$ at low energies is studied in an effective Lagrangian approach. We explicitly include two resonant $2_2^+$ and $2_3^+$ states of $^{16}$O in the scattering amplitudes and construct an $S$…

Nuclear Theory · Physics 2022-06-22 Shung-Ichi Ando

Elastic $^{16}$O+$^{12}$C scattering is known to exhibit the nuclear rainbow pattern at incident energies $E_\text{lab}\gtrsim 200$ MeV, with the Airy structure of the far-side scattering cross section clearly seen at medium and large…

Nuclear Theory · Physics 2020-12-10 Nguyen Hoang Phuc , Dao T. Khoa , Nguyen Tri Toan Phuc

We examine the $^{12}$C+$^{12}$C elastic scattering over a wide energy range from 32.0 to 70.7 MeV in the laboratory system within the framework of the Optical model and the Coupled-Channels formalism. The $^{12}$C+$^{12}$C system has been…

Nuclear Theory · Physics 2010-11-11 Y. Kucuk , I. Boztosun

An inclusion of sharp resonant $0_3^+$ state of $^{16}$O and first excited $2_1^+$ state of $^{12}$C in a study of $s$-wave elastic $\alpha$-$^{12}$C scattering at low energies is investigated in an effective Lagrangian approach. The…

Nuclear Theory · Physics 2020-09-16 Shung-Ichi Ando

We study a radiative $p^{15}$N capture on the ground state of $^{16}$O at stellar energies within the framework of a modified potential cluster model (MPCM) with forbidden states, including low-lying resonances. The investigation of the…

A previously derived semi-microscopic analysis based on the Double Folding Model, for alpha-particle elastic scattering on A~100 nuclei at energies below 32 MeV, is extended to medium mass A ~ 50-120 nuclei and energies from ~13 to 50 MeV.…

Nuclear Experiment · Physics 2015-05-13 M. Avrigeanu , A. C. Obreja , F. L. Roman , V. Avrigeanu , W. von Oertzen

The ${}^{12}\mathrm{C}(\alpha,\gamma){}^{16}\mathrm{O}$ reaction plays a key role in the evolution of stars with masses of $M >$ 0.55 $M_\odot$. The cross-section of the ${}^{12}\mathrm{C}(\alpha,\gamma){}^{16}\mathrm{O}$ reaction within…

Study of radiative $\alpha$ capture on $^{12}$C, $^{12}$C($\alpha$,$\gamma$)$^{16}$O, in cluster effective field theory (EFT) is reviewed. A low energy EFT for $^{12}$C($\alpha$,$\gamma$)$^{16}$O at the Gamow-peak energy, $E_G=0.3$~MeV, is…

Nuclear Theory · Physics 2025-04-11 Shung-Ichi Ando

The elastic $\alpha$-$^{12}$C scattering for $l=0,1,2,3$ channels at low energies is studied, including the energies of excited bound states of $^{16}$O, in effective field theory. We introduce a new renormalization method due to the large…

Nuclear Theory · Physics 2018-01-16 Shung-Ichi Ando

The extensive elastic $^{16}$O+$^{12}$C scattering data measured at low energies show consistently an oscillating enhancement of the elastic cross section at backward angles that is difficult to describe within the conventional optical…

Nuclear Theory · Physics 2018-08-29 Nguyen Tri Toan Phuc , Nguyen Hoang Phuc , Dao T. Khoa

The subthreshold 1$^-_1$ state at an excitation energy $E_x = 7.12$ MeV in $^{16}$O has been believed to enhance the $S$-factor of $^{12}$C($\alpha$,$\gamma$)$^{16}$O. The enhancement seems to originate from strong interference between…

Nuclear Theory · Physics 2020-01-08 M. Katsuma

The $^{13}$C($\alpha$,$n$)$^{16}$O reaction at low energies is studied by constructing an effective field theory. We choose a separation scale at $E=1$~MeV, where $E$ is the initial $\alpha$-$^{13}$C energy in center-of-mass frame, just…

Nuclear Theory · Physics 2026-03-02 Shung-Ichi Ando

The elastic scattering cross section measured at energies $E\lesssim 10$ MeV/nucleon for some light heavy-ion systems having two identical cores like $^{16}$O+$^{12}$C exhibits an enhanced oscillatory pattern at the backward angles. Such a…

Nuclear Theory · Physics 2021-07-22 Nguyen Tri Toan Phuc , Nguyen Hoang Phuc , Dao. T. Khoa

The $^{12}$C($\alpha,\gamma$)$^{16}$O reaction, an important component of stellar helium burning, plays a key role in nuclear astrophysics. It has direct impact on the evolution and final state of massive stars, while also influencing the…

Nuclear Experiment · Physics 2019-05-08 R. J. Holt , B. W. Filippone , Steven C. Pieper

A new approach has been used to explain the experimental data for the $^{12}$C+$^{12}$C system over a wide energy range in the laboratory system from 32.0 MeV to 126.7 MeV. This new coupled-channels based approach involves replacing the…

Nuclear Theory · Physics 2009-11-07 I. Boztosun , W. D. M. Rae

The fusion reactions 12C(12C,a)20Ne and 12C(12C,p)23Na have been studied from E = 2.10 to 4.75 MeV by gamma-ray spectroscopy using a C target with ultra-low hydrogen contamination. The deduced astrophysical S(E)* factor exhibits new…

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