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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 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

We investigate the low-temperature reaction rates for radiative capture processes of three particles. We compare direct and sequential capture mechanisms and rates using realistic phenomenological parametrizations of the corresponding…

Nuclear Theory · Physics 2015-05-30 E. Garrido , R. de Diego , D. V. Fedorov , A. S. Jensen

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 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

The astrophysical $^{3}{\rm He}(\alpha, \gamma)^{7}{\rm Be}$ and $^{3}{\rm H}(\alpha, \gamma)^{7}{\rm Li}$ direct capture processes are studied in the framework of the two-body model with the potentials of a simple Gaussian form, which…

Nuclear Theory · Physics 2018-03-14 E. M. Tursunov , S. A. Turakulov , A. S. Kadyrov

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 results are presented on the total cross sections, astrophysical S-factor, reaction rate of the deuteron radiative capture on 3He at the temperatures from 0.03 up to 3 T9 calculated in the framework of the potential cluster model with…

Nuclear Theory · Physics 2017-11-27 Sergey Dubovichenko , Nataliya Burkova , Albert Dzhazairov-Kakhramanov

In the frame of modified potential cluster model based on the classification of orbital states by Young diagrams and revised interaction potential parameters for the bound states of 7Be in 3He4He cluster model with forbidden states the…

Nuclear Theory · Physics 2019-03-19 S. B. Dubovichenko , A. V. Dzhazairov-Kakhramanov , N. A. Burkova

Astrophysical $S$ factors and reaction rates of the direct radiative capture processes $^{3}{\rm He}(\alpha, \gamma)^{7}{\rm Be}$ and $^{3}{\rm H}(\alpha,\gamma)^{7}{\rm Li}$, as well as the primordial abundance of the $^{7}{\rm Li}$…

Nuclear Theory · Physics 2020-11-24 E. M. Tursunov , S. A. Turakulov , A. S. Kadyrov

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 astrophysical $S$ factor and reaction rates of the direct capture process $^{6}$Li(p,$\gamma)^{7}$Be are estimated within a two-body single-channel potential model approach. Central potentials of the Gaussian-form in the $^2P_{3/2}$ and…

Nuclear Theory · Physics 2023-06-23 E. M. Tursunov , S. A. Turakulov , K. I. Tursunmakhatov

The astrophysical $^7{\rm Be}(p, \gamma)^8{\rm B}$ direct capture process is studied in the framework of a two-body single-channel model with potentials of the Gaussian form. A modified potential is constructed to reproduce the new…

Nuclear Theory · Physics 2021-10-25 E. M. Tursunov , S. A. Turakulov , A. S. Kadyrov , L. D. Blokhintsev

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

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 shell model embedded in the continuum is applied to calculate the astrophysical S-factor and the reaction rate for the radiative proton capture reaction 17F(p,gamma)18Ne. The dominant contribution to the cross-section at very low…

Nuclear Theory · Physics 2009-11-11 R. Chatterjee , J. Okolowicz , M. Ploszajczak

The astrophysical direct nuclear capture reaction $^{12}{\rm C}(p, \gamma)^{13}{\rm N}$ is studied within the framework of a potential model. Parameters of the nuclear $p-^{12}$C interaction potentials of the Woods-Saxon form are adjusted…

Nuclear Theory · Physics 2025-05-13 E. M. Tursunov , S. A. Turakulov , A. S. Kadyrov

The astrophysical $S$-factor for the reaction $^7$Be(p,$\gamma$)$^8$B up to an energy of 2~MeV (c.m.) and the capture cross section of $^7$Li(n,$\gamma$)$^8$Li up to 1~MeV (c.m.) are calculated using the Direct Capture model (DC). Both…

Nuclear Theory · Physics 2012-07-25 H. Krauss , K. Gr"un , T. Rauscher , H. Oberhummer

Calculations of the reaction rate of the proton radiative capture on 3H at temperatures from 0.01 T9 up to 5 T9, which are based on the theoretical results for the astrophysical S-factor and take into account the latest experimental data,…

Nuclear Theory · Physics 2017-07-19 S. B. Dubovichenko , A. V. Dzhazairov-Kakhramanov , N. V. Afanasyeva
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