Finding spin and parity from nuclear reactions

[dingo_d]

Homework Statement

Find spin, parity and isospin of second excited state of ${}^{10}B$ nucleus, if we know that the second excited state (at $E_x=1.74 MeV$) can intensively be excited with reactions: ${}^{7}Li(\alpha,\ n),\ {}^{9}Be(d,\ n),\ {}^{9}Be({}^{3}He,\ d), {}^{11}B(p,\ d)$, and cannot be seen in reactions: ${}^{6}Li({}^{6}Li,\ d),\ {}^{12}C(d,\ \alpha),\ {}^{14}N(d,{}^{6}Li)$.

Homework Equations

I have no idea how to possibly find the spin and parity of this state. I found for ground state and first excited state, spin, parity and isospin using shell model, but here I have no such recommendation.

Any ideas or help would be appreciated...

The Attempt at a Solution

 

[Nate810]

I have no idea how to possibly find the spin and parity of this state. I found for ground state and first excited state, spin, parity and isospin using shell model, but here I have no such recommendation.