α decay of the T = 1 , 2 + state in B 10 and isospin symmetry breaking in the A = 10 triplet
Here, the rate of the T =1, 2+ to T =1, 0 + transition in 10 B ( T =1, T z =0) is compared to the analog transitions in 10 Be ( T =1, T z =–1) and 10 C ( T =1, T z =+1) to provide constraints on ab initio calculations using realistic nuclear forces. The relevant state in 10 B, at E x =5.164 MeV, is particle unbound. Therefore, a determination of the B ( E 2) electromagnetic transition rate requires a precise and accurate determination of the width of the state, as well as the α-particle and γ-ray branching ratios. Previous measurements of the α-particle branching ratio are just barely in agreement. We report on a new study of the α-particle branch by studying the 10 B(p,p') 10 B* reaction in inverse kinematics with the HELIOS spectrometer. The α-particle branching ratio that we observe, 0.144±0.027, is in good agreement with the evaluated value and improves the associated uncertainty. The resulting experimental B ( E 2) value is 7.0±2.2 e 2 fm 4 and is more consistent with a flat trend across the A=10 triplet than previously reported. This is inconsistent with Green's function Monte Carlo predictions using realistic three-nucleon Hamiltonians, which overpredict the B ( E 2) value in 10 C and 10 B.