  The nucleus 11C plays an important role in the boron-proton fusion reactor
environment as a catalyzer of the 10B(p,{\alpha})7Be reaction which, by
producing a long-lived isotope of 7Be, poisons the aneutronic fusion process
11B(p,2{\alpha})4He. The low-energy cross section of 10B(p,{\alpha})7Be depends
on the near-threshold states 7/2+1 , 5/2+2 , 5/2+3 in 11C whose properties are
primarily known from the indirect measurements. We investigate the
continuum-coupling induced collectivization of these resonances in the shell
model embedded in the continuum. We predict a significant enhancement of the
10B(p,{\alpha})7Be cross section at energies accessible to the laser-driven hot
plasma facilities.
