Персона: Годес, Александр Игоревич
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Analytical version of the resonance coupled-channel model for D + T →5He** → α + n reaction and its application for the description of low-energy D-T and D-3He scattering*
Lawson Criterion for Different Scenarios of Using D-3He Fuel in Fusion Reactors КРИТЕРИИ ЛОУСОНА ДЛЯ РАЗЛИЧНЫХ СЦЕНАРИЕВ ИСПОЛЬЗОВАНИЯ D-3He-ТОПЛИВА В ТЕРМОЯДЕРНЫХ РЕАКТОРАХ
Analytical version of the resonance coupled-channel model for d + T → 5He** → α + N reaction and its application for the description of low-energy D-T and D-3He scattering
© 2019 Obninsk Institute for Nuclear Power Engineering, National Research Nuclear University 'MEPhI'. All rights reserved.The purpose of the present paper is the formulation of the analytical version of the resonance coupled-channel model (RCCM) originally developed for D + T 5He** α + n reaction. The integral in the denominator of the Breit-Wigner type is examined in the expression for S-matrix elements of binary processes in this model. Imaginary part of this integral determines the energy-dependent decay width for the near-threshold channel. It is shown that this integral can be calculated explicitly with the Binet representation for the \|/-function (the logarithmic derivation of the gamma function). As the result the explicit expression for the S-matrix elements in the form of analytical functions of the channel momenta are obtained and the equivalence of the RCCM and the effective range approximation (Landau - Smorodinsky - Bethe approximation) is established on this basis. This allows expressing the parameters of the RCCM through the model independent system characteristics: the complex scattering length and the complex effective range. Several sets of model parameters of both approaches that provide a good description of the measured data on D + T->a+ n reaction and D-T elastic scattering are derived. By this means we find the location of the S-matrix poles on different Riemann sheets which corresponds to JK = (3/2)+ state of 5He and 5Li. In particular, the location of the resonance (R) and shadow (S) poles is determined: 5He**: ZR = 46.9 - i37.2 (keV) ZS = 81.7 - i3.5 (keV) 5Li**: ZR = 205.7 - i146.8 (keV) ZS = 264.4 + i112.0 (keV). Our results agree well with previous findings. The possible generalizations of the results obtained are discussed.
New parametrization for the 3He(d,p) 4He fusion reaction rate and refinement of the Lawson criterion for d-3He thermonuclear reactors
© 2021 Institute of Physics Publishing. All rights reserved.We present a new parametrization of the d + 3He → p + 4He fusion reaction astrophysical factor based on the effective range approximation, which is an effective theoretical method for describing near-threshold, including resonance, nuclear reactions. In the framework of this approximation we describe experimental data on the energy dependence of the cross section and the astrophysical factor within the experimental uncertainties in the energy range of 0- 800 keV. On this basis we calculate the temperature dependence of the Maxwellian-averaged reaction rate in the range of 0-400 keV. In conclusion, we discuss the effect of the calculated reaction rates on the Lawson criterion for thermonuclear reactors based on d-3He fuel.