<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>α</mml:mi></mml:math> formation probability in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Be</mml:mi><mml:mprescripts/><mml:none/><mml:mn>10</mml:mn></mml:mmultiscripts></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Be</mml:mi><mml:mprescripts/><mml:none/><mml:mn>12</mml:mn></mml:mmultiscripts></mml:math> within a microscopic cluster model

Abstract

The $\ensuremath{\alpha}$ clustering in $^{10}\mathrm{Be}$ and $^{12}\mathrm{Be}$ has been studied within the framework of the real-time evolution method (REM). By using the effective interaction tuned to reproduce the charge radii and the threshold energies, we have evaluated the $\ensuremath{\alpha}$ reduced width amplitude (RWA) and spectroscopic factor ($S$ factor) for the ground and excited states. With several improvements made in this work, comparing with our previous calculations, larger rates of clustering results are obtained for $^{10}\mathrm{Be}$ and $^{12}\mathrm{Be}$ with correct asymptotics at large distance.

Topics & Concepts