Astrophysical <i>S</i>-factor for the <SUP>13</SUP>С(р, γ)<SUP>14</SUP>N Radiative Capture Reaction

Abstract

The phase shift analysis, done on the basis of the known measurements of the differential cross-sections of the р 13 С elastic scattering at the energy range 250750 keV, shows that it is enough to take into account only 3 S 1 wave in the considered energy region. The potential for the triplet 3 S 1 state in р 13 С system at the resonance energy 0.55 MeV corresponding to quantum numbers J  T = 1-1 as well as the potential for the 3 Р 1 bound state of 14 N were constructed on the basis of the obtained scattering phase shifts. The possibility to describe the experimental data of the astrophysical S-factor of the р 13 С radiative capture at the energies 0.030.8 MeV was considered within the potential cluster model with the forbidden states. It was shown that we properly succeed in explanation of the energy behavior of the astrophysical S-factor for the р 13 С radiative capture at the resonance energy range 0.55 MeV (laboratory system). PACS number(s): 26.; 25.20.-x; 24.10.-i; 21.60.-n; 21.60.Gx; 02

The 7Li (n,γ)8Li radiative capture at astrophysical energies

“…It is quite possible to describe correctly the value of the total cross section in the nonresonant energy region, and even the position and value of the resonance in the neutron capture reaction on 7 Li. Note, that there are already eighteen cluster systems, the characteristics of which are given in Table 4 (properties of nuclei are from reviews [15,[52][53][54][55]), considered by us earlier based on the potential cluster model with the classification of the orbital states according to the Young schemes [9,12,14,16,17,26,40,51,[56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][72], in terms of which it is possible to obtain acceptable results of the description of the radiative capture process characteristics. Note.…”

RADIATIVE NEUTRON CAPTURE ON 9Be, 14C, 14N, 15N AND 16O AT THERMAL AND ASTROPHYSICAL ENERGIES

“…Earlier, there were considered 20 capture reactions of protons, neutrons and light clusters on 1p-shell nuclei at astrophysical energies by this method. 6,7,11,43,44 Therefore, we will consider the n 9 Be → 10 Beγ reaction at thermal and astrophysical energy range in the study of the neutron radiative capture reactions on light atomic nuclei in the MPCM. 5,7,30 The information about n 9 Be interaction potentials in continuous and discrete spectra 7,45 is necessary for calculating the total cross-sections of this reaction in the frame of the MPCM.…”

Neutron capture by light nuclei at astrophysical energies

“…In conclusion let's note, that by this time there are 20 cluster systems considered by us on the basis of the potential cluster model with the orbital states classification according to the Young diagrams [6][7][8][9][10][11]17,23,24,42,43]. In these systems it is succeeded to obtain the quite reasonable results for the description of characteristics of the radiative nucleons or light clusters capture processes on atomic nuclei.…”

“…Since we have not the total tables of the Young diagrams product for the particle systems with A>8 [20], which were used by us earlier for such calculations [5][6][7][8][9][10][11]21,22], therefore the obtained above result should be considered as only the qualitative evaluation of possible orbital symmetries for the bound states of 16 N nucleus in n 15 N-channel. At once just on the basis of such classification it was succeeded to explain well enough the available experimental data for the radiative р 13 C- [23], n 13 C [6,24] capture and also for n 14 N [6,17] capture. So here we will use this given above classification of cluster states according to the orbital symmetries.…”

“…For the radiative n 15 N-capture total cross-sections description as well as in the previous works [6][7][8][9][10][11]15,17,[22][23][24] we considered E1-transitions. In the given process this transition is possible from the nonresonance 3 Р 2 scattering wave with zero phases at energies up to 1.0 MeV to the triplet part of ( 1)…”