Three-body calculations of triple-alpha reaction

Abstract

Recently, the triple-α(3α) process, by which three 4He nuclei are fused into a 12C nucleus in stars, was studied by different methods in solving the quantum mechanical three-body problem. Their results of the thermonuclear reaction rate for the process differ by several orders at low stellar temperatures of 10^7 - 10^8 K. In this paper, we will present calculations of the 3αprocess by a modified Faddeev three-body formalism in which the long-range effects of Coulomb interactions are accommodated. The reaction rate of the process is calculated via an inverse process, three-alpha (3-α) photodisintegration of a 12C nucleus. Calculated reaction rate is about 10 times larger than that of the Nuclear Astrophysics Compilation of Reaction Rates (NACRE) at 10^7 K, and is remarkably smaller than the results of the recent three-body calculations. We will discuss a possible reason of the difference.

10 pages, 8 figures

References in corpus (5)

• Dependence of S-Process Nucleosynthesis in Massive Stars on Triple-Alpha and 12C(a,g)16O Reaction Rate Uncertainties
• Local versus nonlocal $\alpha \alpha$ interactions in $3\alpha$ description of ${}^{12}$C
• Effects of a new triple-$\alpha$ reaction rate on the helium ignition of accreting white dwarfs
• Two- and three-alpha systems with nonlocal potential
• Operation of Faddeev-Kernel in Configuration Space

Cited by in corpus (23)

• Frontiers in Nuclear Astrophysics
• Coupled-channels calculations for nuclear reactions: from exotic nuclei to superheavy elements
• Alpha particle clusters and their condensation in nuclear systems
• Decay and structure of the Hoyle state
• Astrophysical reaction rate for ${}^9$Be formation within a three-body approach
• Stars and Black Holes from the very Early Universe
• Two-nucleon emitters within a pseudostate method: The case of ${}^6$Be and ${}^{16}$Be
• Imaginary-time theory for triple-alpha reaction rate
• Synthesis of C-rich dust in CO nova ourbursts
• Three-body effects in the Hoyle-state decay
• Evidence against the Efimov effect in ${}^{12}\mathrm{C}$ from spectroscopy and astrophysics
• Binding two and three $\alpha$ particles in cold neutron matter
• Study of three-neutron bound and continuum states
• Bound states of ${}_{\varphi }^9$Be and ${}_{\varphi \varphi }^6$He nuclei with $\varphi$+$\alpha$+$\alpha$ and $\varphi$+$\varphi$+$\alpha$ cluster models
• Three-$\alpha$ configurations in the $0^{+}$ states of ${}^{12}\mathrm{C}$
• Analysing supersymmetric transformed $\alpha$-nucleus potentials with electric-multipole transitions
• Constrained correlated-Gaussians for hyperspherical calculations
• Study of light $\varphi$-mesic nuclei with HAL QCD $\varphi N$ interactions
• Monopole transition strength function of ${}^{12}$C in three-$\alpha$ model
• Calculable microscopic theory for ${}^{12}$C($\alpha ,\gamma$)${}^{16}$O cross section near Gamow window
• Spin-isospin excitation of ${}^3$He with three-proton final state
• Low-energy ${}^{12}$C continuum states in three-$\alpha$ model
• Fusion and reactions of $\alpha$+${}^8$Be in the Hoyle resonance and associated resonances region