<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mmultiscripts><mml:mi>Li</mml:mi><mml:mprescripts/><mml:none/><mml:mn>6</mml:mn></mml:mmultiscripts><mml:mo>(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>γ</mml:mi><mml:mo>)</mml:mo><mml:mmultiscripts><mml:mi>Be</mml:mi><mml:mprescripts/><mml:none/><mml:mn>7</mml:mn></mml:mmultiscripts></mml:mrow></mml:math>reaction rate in the light of the new data of the Laboratory for Underground Nuclear Astrophysics
S. B. Dubovichenko, A. S. Tkachenko, Roman Ya. Kezerashvili, N. А. Burkova, A. V. Dzhazairov-Kakhramanov
Abstract
We present new calculations of the astrophysical $S$ factor and reaction rate for the $^{6}\mathrm{Li}(p,\ensuremath{\gamma})^{7}\mathrm{Be}$ reaction at energies of 10 keV to 5 MeV in the framework of a modified potential cluster model with forbidden states, including low lying resonances. The astrophysical $S(E)$ factor is compared with the available experimental data and calculations done within different models. The results for the $S$ factor are in good agreement with the data set (for $E<0.3$ MeV) and calculations (for $E<0.6$ MeV) of the LUNA Collaboration [Phys. Rev. C 102, 052802(R) (2020)]. The recommended extrapolated zero value $S(0)$ turned out to be 101 eV b. Using the theoretical total cross sections, the $^{6}\mathrm{Li}(p,\ensuremath{\gamma})^{7}\mathrm{Be}$ capture reaction rate is calculated at temperatures ranging from $0.01{T}_{9}$ to $10{T}_{9}$ and compared with NACRE and NACRE II. Analytical expressions for the $S$ factor and reaction rate are given, and the effect of low-lying resonances on the reaction rate is estimated. We suggest updating the NACRE and NACRE II databases in light of the new LUNA data and present calculations.