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We investigate four-body nuclear reactions in stellar environments contributing to creation of light nuclei, exemplified by $^9$Be and $^{12}$C. The originally assumed process is radiative capture, where nuclear clusters combine into the…

Nuclear Theory · Physics 2021-05-26 E. Garrido , A. S. Jensen

We develop the formalism based on the S-matrix for $3 \to 3$ scattering to derive the direct three-body resonant radiative capture reaction rate. Within this formalism the states, which decay only/predominantly directly into three-body…

Nuclear Theory · Physics 2009-11-11 L. V. Grigorenko , M. V. Zhukov

We investigate even-even two-proton borromean systems at prominent intermediate heavy waiting points for the rapid proton capture process. The most likely single-particle levels are used to calculate three-body energy and structure as a…

Nuclear Theory · Physics 2016-02-03 D. Hove , A. S. Jensen , H. O. U. Fynbo , N. T. Zinner , D. V. Fedorov , E. Garrido

Radiative capture reaction rates for $^6$He, $^9$Be and $^{17}$Ne formation at astrophysical conditions are studied within a three-body model using the analytical transformed harmonic oscillator method to calculate their states. An…

Nuclear Theory · Physics 2018-01-11 J. Casal , M. Rodríguez-Gallardo , J. M. Arias , J. Gómez-Camacho

Background: The triple-alpha reaction is the key to our understanding about the nucleosynthesis and the observed abundance of $^{12}$C in stars. The theory of this process is well established at high temperatures but rather ambiguous in the…

Nuclear Theory · Physics 2013-05-16 Ngoc B Nguyen , Filomena M Nunes , Ian J Thompson

The structure of the Borromean nucleus $^9$Be ($\alpha+\alpha+n$) is addressed within a three-body approach using the analytical transformed harmonic oscillator method. The three-body formalism provides an accurate description of the…

Nuclear Theory · Physics 2016-04-26 J. Casal , M. Rodríguez-Gallardo , J. M. Arias , I. J. Thompson

The triple-\alpha reaction rate is re-evaluated by directly solving the three-body Schr\"odinger equation. The resonant and nonresonant processes are treated on the same footing using the continuum-discretized coupled-channels method for…

Solar and Stellar Astrophysics · Physics 2010-01-15 Kazuyuki Ogata , Masataka Kan , Masayasu Kamimura

We investigate the region of the nuclear chart around $A \simeq 70$ from a three-body perspective, where we compute reaction rates for the radiative capture of two protons. One key quantity is here the photon dissociation cross section for…

Nuclear Theory · Physics 2017-02-23 D. Hove , E. Garrido , A. S. Jensen , H. O. U. Fynbo , D. V. Fedorov , N. T. Zinner

Background: The breakout from the hot Carbon-Nitrogen-Oxigen (CNO) cycles can trigger the rp-process in type I x-ray bursts. In this environment, a competition between $^{15}\text{O}(\alpha,\gamma){^{19}\text{Ne}}$ and the two-proton…

Nuclear Theory · Physics 2016-12-01 J. Casal , E. Garrido , R. de Diego , J. M. Arias , M. Rodríguez-Gallardo

The radiative neutron capture reaction rates have been studied at very low energies which are of interest for nuclear astrophysics. The rates for many of these reactions have remained independent of temperature so far. The temperature…

Nuclear Theory · Physics 2021-07-26 Vinay Singh , Joydev Lahiri , D. N. Basu

The triple alpha rate is obtained from the three-body bound and continuum states computed in a large box. The results from this genuine full three-body calculation are compared with standard reference rates obtained by two sequential…

Nuclear Theory · Physics 2011-06-27 R. de Diego , E. Garrido , D. V. Fedorov , A. S. Jensen

The cross section of the 16O(a,g)20Ne capture reaction is analyzed at low energies where the direct capture mechanism is dominant. For temperatures below T9 = 0.2 the resulting astrophysical reaction rate is about a factor of two higher…

Astrophysics · Physics 2007-05-23 P. Mohr

The determination of astrophysical reaction rates requires different approaches depending on the conditions in hydrostatic and explosive burning. The focus here is on astrophysical reaction rates for radiative neutron capture reactions.…

Nuclear Theory · Physics 2022-11-10 Thomas Rauscher

We propose a new computational method for astrophysical reaction rate of radiative capture process. In the method, an evolution of a wave function is calculated along the imaginary-time axis which is identified as the inverse temperature.…

Nuclear Theory · Physics 2015-06-04 Kazuhiro Yabana , Yasuro Funaki

A new full three-body method is introduced to compute the rate of the triple-alpha capture reaction which is the primary source of $^{12}$C in stars. In this work, we combine the Faddeev hyperspherical harmonics and the R-matrix method to…

Nuclear Theory · Physics 2015-06-03 N. B. Nguyen , F. M. Nunes , I. J. Thompson , E. F. Brown

Radiative capture of nucleons at energies of astrophysical interest is one of the most important processes for nucleosynthesis. The nucleon capture can occur either by a compound nucleus reaction or by a direct process. The compound…

Nuclear Theory · Physics 2015-05-13 J. T. Huang , C. A. Bertulani , V. Guimaraes

A relationship between the Coulomb inclusive break-up probability and the radiative capture reaction rate for weakly-bound three-body systems is established. This direct link provides a robust procedure to estimate the reaction rate for…

Nuclear Theory · Physics 2016-04-22 J. Casal , M. Rodríguez-Gallardo , J. M. Arias , J. Gómez-Camacho

The neutron capture process plays a vital role in creating the heavy elements in the universe. Astrophysical environments involved in these processes are characterized by two distinct reaction mechanisms: the slow and rapid neutron capture…

Nuclear Theory · Physics 2026-05-25 N. Lightfoot , A. Diaz-Torres , P. Stevenson

The total cross sections of the radiative neutron capture processes on 9Be, 14C, 14N, 15N, and 16O are described in the framework of the modified potential cluster model with the classification of orbital states according to Young tableaux.…

Nuclear Theory · Physics 2014-01-29 Sergey Dubovichenko , Albert Dzhazairov-Kakhramanov , Nadezhda Afanasyeva

We study radiative capture reactions using quasi-separable potentials. This procedure allows an easier treatment of non-local effects that can be extended to three-body problems. Using this technique, we calculate the neutron and proton…

Nuclear Theory · Physics 2016-12-21 Shubhchintak , C. A. Bertulani , A. M. Mukhamedzhanov , A. T. Kruppa
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