Modified two-body potential approach to the peripheral direct capture astrophysical reaction and asymptotic normalization coefficients

Asymptotic normalization coefficients for Be7+p→B8 from the peripheral Tojiboev1, Yarmukhamedov2, Artemov3 et al. 2016Phys. Rev. CSelf Cite15150View full textAdd to dashboardCite

“…The results of extrapolation of the astrophysical S factors at extremely low energies, including close to the Gamov peak, S 17 (20 keV), S 17 (50 keV) and S 17 (120 keV), which can be obtained within the MTBPA [15] by using the ANC values of the present work, are equal to 22.5±1.8, 21.7±1.8 and 20.8±1.5 eV b, respectively.…”

“…The ANC value for p+ 7 Be → 8 B presented in the last line of Table 3 was used for calculation of the astrophysical S factor of the 7 Be(p, γ) 8 B reaction at zero energy by using the formula [15] S 17 (0) = 37.26C 2 B (eVb).…”

“…In [10], the "indirectly determined" value of ANCs for 7 Be + p → 8 B were obtained by means of the analysis of the precisely measured experimental astrophysical S factors (S exp 17 (E)) performed within the modified two-body potential approach (MTBPA) [15] where S 17 (E) for the direct radiative capture 7 Be(p, γ) 8 B reaction is expressed in terms of ANC for p + 7 Be → 8 B. Then the derived ANC was used for extrapolation of the corresponding astrophysical S factors to solar energies.…”

Connection between effective-range expansion and nuclear vertex constant or asymptotic normalization coefficient

“…Several sets of parameters can describe equally well the low-energy phase shifts. One possibility for removing this ambiguity lies in a consistent description of the low-energy scattering of two particles and of the fundamental characteristics of a two-body (A + a) weakly bound state composed of these two particles [4][5][6][7]. The essential quantities required for such a description are the binding energy of this state and its nuclear vertex constant (NVC) or its asymptotic normalization coefficient (ANC) which determines the amplitude of the tail of the bound-state wave function in the two-particle channel.…”

Indirect Methods and ANCs for Nuclear Astrophysics

“…At this, the weighted means of the square ANCs for 8 Be + α → 12 C, which is equal to 8466±231 fm −1 , as well as for α + d → 6 Li and p + n → d recommended in [2] and [4], respectively, were used. Besides, in Table I, the results of the S 43 (0) and S 17 (0) values, which are derived within the method proposed in [15] by using the ANC values for 3 He + α → 7 Be and 7 Be + p → 8 B of the present work, are presented along with the result obtained by other authors. As is seen from Table I, the agreement between the results obtained in the present work both for the ANC values and the corresponding astrophysical S factor and those derived in [8,12] occurs.…”