Determination of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">α</mml:mi></mml:mrow><mml:mprescripts/><mml:mrow/><mml:mrow><mml:mn>6</mml:mn></mml:mrow><mml:mrow/><mml:mrow/></mml:mmultiscripts></mml:mrow></mml:math>+<i>d</i>vertex constant (asymptotic coefficient) from the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts/><mml:mrow/><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow/><mml:mrow/></mml:mmultiscripts></mml:mrow></mml:math>+<i>d</i>phase-shift analysis

The $^{6}\mathrm{Li}$(${1}^{+}$0)${\ensuremath{\rightarrow}}^{4}$He+d virtual decay vertex constant ${\mathit{G}}_{0}$ and the respective asymptotic coefficient ${\mathit{C}}_{0}$ of the $^{6}\mathrm{Li}$ wave function in the $^{4}\mathrm{He}$+d channel are found using the analytic continuation of the solution of a novel energy-dependent phase-shift analysis of elastic d${\mathrm{\ensuremath{-}}}^{4}$He scattering to the pole corresponding to the $^{6}\mathrm{Li}$ ground state. The reliability and accuracy of the method used have been corroborated independently by three other ways: by directly solving the inverse problem for d${\mathrm{\ensuremath{-}}}^{4}$He scattering and by two different methods for finding a solution for the three-body (\ensuremath{\alpha}+n+p) problem. The values ${\mathit{G}}_{0}^{2}$=0.42\ifmmode\pm\else\textpm\fi{}0.02 fm and ${\mathit{C}}_{0}$=2.93\ifmmode\pm\else\textpm\fi{}0.15 have been found, which seem to be the most accurate and reliable among the values obtained so far.

Hali tarjima qilinmagan