743 Russian Physics Journal, Vol. 53, No. 7, 2010 ASTROPHYSICAL S-FACTOR OF RADIATIVE р 6 Li CAPTURE AT LOW ENERGIES S. B. Dubovichenko, 1 N. Burtebaev, 2 D. M. Zazulin, 2 and А. S. А. Amar 3 UDC 539.17 A possibility of describing experimental data for the astrophysical S-factor of p 6 Li capture at low energies is discussed within the potential cluster model with forbidden states. Keywords: nuclear physics, phase shift analysis, low energies, elastic scattering, р 6 Li system, potential description, astrophysical S-factors. INTRODUCTION A phase shift analysis of elastic р 6 Li scattering in the energy range 500–1150 keV [2] earlier made in [1] is of some interest for nuclear astrophysics. The potentials of interaction between the ground and first excited states of the 7 Ве nucleus in the p 6 Li channel were constructed as well as the potential of a doublet S scattering wave. The results obtained allow us to consider the astrophysical S-factor of the radiative p 6 Li capture at low energies. Though this reaction may seem to be of special interest for nuclear astrophysics [3], it has not been adequately explored. Known are few measurements of the astrophysical S-factor [4] and those are mostly in the energy range 35 keV–1.2 MeV alone. Nevertheless, of immediate interest is to consider the possibility of its description within the astrophysical energy range where experimental data are available on the basis of the potential cluster model with classification of bound states by Young orbital diagrams [5, 6]. POTENTIALS AND PHASES OF ELASTIC SCATTERING To calculate the astrophysical S-factor, one must know the potentials of the internuclear p 6 Li interaction in different states which can be constructed on the basis of elastic scattering phases resulting from phase shift analysis. Earlier, the phase shift analysis of the elastic p 6 Li scattering was performed for the energy range 0.5–5.6 MeV, taking into account spin-orbital phase splitting [7], however, no account was taken of the doublet 2 Р wave. The results of work [7] are shown in Fig. 1 by circles and open triangles, whereas our results [1] taking into account the doublet 2 Р wave but without spin-orbital phase splitting – by dots and triangles. It is seen that the doublet 2 S-phase obtained in [1] decreases much slower than it follows from analysis of work [7]. Thus, taking into account the doublet 2 Р wave [1] results in somewhat different 2 S phases, and, hence, different potentials. In order to find the partial intercluster p 6 Li interactions using available scattering phases, use is made of an ordinary Gauss potential with a point Coulomb term, which can be written as follows [1]: V(r) = –V 0 exp(–αr 2 ). The following values are obtained for the parameters of potentials of the S-waves in two spin phase channels [7]: 1 V. G. Fesenkov Аstrophysical Institute of NSRTC NSA of RK, Almaty, Republic of Kazakhstan; 2 Institute of Nuclear Physics of NNC of RK, Almaty, Republic of Kazakhstan; 3 Al-Faraby Kazakh National University, Almaty, Republic of Kazakhstan, e-mail: sergey@dubovichenko.ru; burteb@inp.kz. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 78–83, July, 2010. Original article submitted September 22, 2009. 1064-8887/10/5307-0743 ©2010 Springer Science+Business Media, Inc.