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Since the discovery of molecular resonances in $^{12}$C+$^{12}$C in the early sixties a great deal of research work has been undertaken to study alpha-clustering. Our knowledge on physics of nuclear molecules has increased considerably and…

Nuclear Experiment · Physics 2019-09-16 C. Beck

The process of carbon burning is vital to understanding late stage stellar evolution of massive stars and the conditions of certain supernovae. Carbon burning is a complex problem, involving quantum tunnelling and nuclear molecular states.…

Nuclear Theory · Physics 2025-09-18 Grant Close , Paul Stevenson , Alexis Diaz-Torres

Astrophysical S-factors of radiative capture reactions on light nuclei have been calculated in a two-cluster potential model, taking into account the separation of orbital states by the use of Young schemes. The local two-body potentials…

Nuclear Theory · Physics 2012-04-12 Sergey Dubovichenko , Albert Dzhazairov-Kakhramanov

Measurement of the fusion cross-section for neutron-rich light nuclei is crucial in ascertaining if fusion of these nuclei occurs in the outer crust of a neutron star. We have therefore measured the fusion excitation function at…

The phase shift analysis, done on the basis of the known measurements of the differential cross-sections of the p13C elastic scattering at the energy range 250-750 keV, shows that it is enough to take into account only 3S1 wave in the…

Nuclear Theory · Physics 2015-06-03 S. B. Dubovichenko , A. V. Dzhazairov-Kakhramanov , N. A. Burkova

The astrophysical S-factor of the 4He-12C radiative capture is calculated in the potential model at the energy range 0.1-2.0 MeV. Radiative capture 12C(\alpha,\gamma)16O is extremely relevant for the fate of massive stars and determines if…

Nuclear Theory · Physics 2015-06-17 H. Sadeghi , R. Ghasemi , H. Khalili

Real collective density variables $C(\boldsymbol{k})$ [c.f. Eq.\ref{Equation3})] in many-particle systems arise from non-linear transformations of particle positions, and determine the structure factor $S(\boldsymbol{k})$, where $\bf k$…

Statistical Mechanics · Physics 2009-11-11 Obioma Uche , Salvatore Torquato , Frank Stillinger

Experimental results for sub-barrier nuclear fusion reactions show cross section enhancements with respect to bare nuclei which are generally larger than those expected according to electron screening calculations. We point out that energy…

Astrophysics · Physics 2009-11-07 G. Fiorentini , C. Rolfs , F. L. Villante , B. Ricci

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 properties of the low-energy 12C+12C molecular resonances, which potentially enhance the fusion reaction rate at low temperatures, have been investigated by a full-microscopic nuclear model employing various nuclear energy density…

Nuclear Theory · Physics 2024-02-01 Yasutaka Taniguchi , Masaaki Kimura

Recent advances obtained in the field of near and sub-barrier heavy-ion fusion reactions are reviewed. Emphasis is given to the results obtained in the last decade, and focus will be mainly on the experimental work performed concerning the…

Nuclear Experiment · Physics 2017-09-13 Giovanna Montagnoli , Alberto M. Stefanini

Fusion excitation functions for $^{19}$O and $^{19}$F + $^{12}$C were simultaneously measured along with $^{20}$O + $^{12}$C using the active-target detector MuSIC@Indiana. Examination of the cross-section just above the barrier reveals a…

Numerous nuclear reactions in the crust of accreting neutron stars are strongly affected by dense plasma environment. Simulations of superbursts, deep crustal heating and other nuclear burning phenomena in neutron stars require…

Solar and Stellar Astrophysics · Physics 2015-06-04 A. V. Afanasjev , M. Beard , A. I. Chugunov , M. Wiescher , D. G. Yakovlev

Nuclear fusion reactions at sub-barrier energies play crucial roles in many aspects of primordial nucleosynthesis in stellar objects. One of the primary aspects that plays a pivotal role in understanding the relationship between stellar…

Nuclear Theory · Physics 2025-12-15 N. Mohammad , H. Sultana , Md. R. Islam , Md. A. Khan

The astrophysical $S$-factor for the proton-proton fusion is calculated in the low-energy regime for a variety of nuclear interactions and consistent nuclear currents, derived within chiral effective field theory. We estimate, for the first…

Nuclear Theory · Physics 2026-03-27 Vittorio Barlucchi , Alex Gnech , Scilla Degl'Innocenti , Laura Elisa Marcucci

Above-barrier fusion cross-sections for an isotopic chain of oxygen isotopes with A=16-19 incident on a $^{12}$C target are presented. Experimental data are compared with both static and dynamical microscopic calculations. These…

Nuclear Experiment · Physics 2020-07-01 S. Hudan , R. T. deSouza , A. S. Umar , Z. Lin , C. J. Horowitz

We investigate the sensitivity of low-energy nuclear collisions to intrinsic nuclear structure by studying the interplay between initial-state geometry and final-state observables in C+C and C+Pb collisions at $\sqrt{s_{NN}}=2.36$~GeV,…

Nuclear Theory · Physics 2026-02-12 Subhash Singha

The influence on the fusion process of coupling to collective degrees of freedom has been explored. The significant enhancement of the fusion cross section at sub-barrier energies was compared to predictions of one-dimensional barrier…

Nuclear Theory · Physics 2008-11-26 C. Beck

We describe low-lying collective excitations of atomic nuclei with the multi-reference covariant density functional theory, and combine them with coupled-channels calculations for heavy-ion fusion reactions at energies around the Coulomb…

Nuclear Theory · Physics 2015-04-16 K. Hagino , J. M. Yao

Densities and transition densities are computed in an equilateral triangular alpha-cluster model for $^{12}$C, in which each $\alpha$ particle is taken as a gaussian density distribution. The ground-state, the symmetric vibration (Hoyle…

Nuclear Theory · Physics 2020-01-23 A. Vitturi , J. Casal , L. Fortunato , E. G. Lanza