$$\begin{aligned}
\frac{\langle \Xi_{cc}^{\diamond}|\bar
cg\sigma_{\mu\nu}G^{\mu\nu}c|\Xi_{cc}^{\diamond}\rangle
}{2M_{\Xi_{cc}^{\diamond}}m_c^2} &=&
-\frac{4}{3}\frac{(M_{\Xi_{cc}^{\diamond *}} -
M_{\Xi_{cc}^{\diamond}})}{m_c}
- \frac{7g^2}{9m_c^3}|\Psi^d (0)|^2 \approx -0.124, \\
\frac{\langle \Xi_{bc}^{\diamond}|\bar
cg\sigma_{\mu\nu}G^{\mu\nu}c|\Xi_{bc}^{\diamond}\rangle
}{2M_{\Xi_{bc}^{\diamond}}m_c^2} &=& \frac{4g^2}{3m_b
m_c^2}|\Psi^d (0)|^2 - \frac{g^2}{3m_c^3}|\Psi^d (0)|^2 \approx
0.005, \\
\frac{\langle \Xi_{bb}^{\diamond}|\bar
bg\sigma_{\mu\nu}G^{\mu\nu}b|\Xi_{bb}^{(\diamond)}\rangle
}{2M_{\Xi_{bb}^{\diamond}}m_b^2} &=&
-\frac{4}{3}\frac{(M_{\Xi_{bb}^{\diamond *}} -
M_{\Xi_{bb}^{\diamond}})}{m_b} - \frac{7g^2}{9m_b^3}|\Psi^d (0)|^2 \approx
-0.189, \\
\langle \Omega_{QQ'}|\bar
cg\sigma_{\mu\nu}G^{\mu\nu}c|\Omega_{QQ'}\rangle &=&
\langle \Xi_{QQ'}^{\diamond}|\bar
cg\sigma_{\mu\nu}G^{\mu\nu}c|\Xi_{QQ'}^{\diamond}\rangle\end{aligned}$$ The permutations of quark masses lead to the required expressions for the operators of $\bar bb$ and $\bar
bg\sigma_{\mu\nu}G^{\mu\nu}b$.

For the four quark operators, determining the Pauli interference and the weak scattering, we use the estimates in the framework of non-relativistic potential model [@DHD1; @DHD2]: $$\begin{aligned}
\langle \Xi_{cc}^{\diamond}|(\bar c\gamma_{\mu}(1-\gamma_5)c)(\bar
q\gamma^{\mu}(1-\gamma_5)q)|\Xi_{cc}^{\diamond}\rangle  &=& 12(m_c+m_q)\cdot
|\Psi^{dl}(0)|^2,\\
\langle \Xi_{cc}^{\diamond}|(\bar c\gamma_{\mu}\gamma_5 c)(\bar
q\gamma^{\mu}(1-\gamma_5)q)|\Xi_{cc}^{\diamond}\rangle  &=& 8(m_c+m_q)\cdot
|\Psi^{dl}(0)|^2,\\
\langle \Omega_{cc}|(\bar c\gamma_{\mu}(1-\gamma_5)c)(\bar
s\gamma^{\mu}(1-\gamma_5)s)|\Omega_{cc}\rangle  &=& 12(m_c+m_s)\cdot
|\Psi^{dl}(0)|^2,\\
\langle \Omega_{cc}|(\bar c\gamma_{\mu}\gamma_5 c)(\bar
s\gamma^{\mu}(1-\gamma_5)s)|\Omega_{cc}\rangle  &=& 8(m_c+m_s)\cdot
|\Psi^{dl}(0)|^2,\\
\langle \Xi_{bc}^{\diamond}|(\bar b\gamma_{\mu}(1-\gamma_5)b)(\bar
c\gamma^{\mu}(1-\gamma_5)c)|\Xi_{bc}^{\diamond}\rangle  &=&
8(m_b+m_c)\cdot |\Psi^{d}(0)|^2,\\ \langle
\Xi_{bc}^{\diamond}|(\bar b\gamma_{\mu}\gamma_5b)(\bar
c\gamma^{\mu}(1-\gamma_5)c)|\Xi_{bc}^{\diamond}\rangle  &=&
6(m_b+m_c)\cdot |\Psi^{d}(0)|^2,\\ \langle
\Xi_{bc}^{\diamond}|(\bar b\gamma_{\mu}(1-\gamma_5)b)(\bar
q\gamma^{\mu}(1-\gamma_5)q)|\Xi_{bc}^{\diamond}\rangle  &=&
2(m_b+m_l)\cdot |\Psi^{dl}(0)|^2,\\ \langle
\Xi_{bc}^{\diamond}|(\bar b\gamma_{\mu}\gamma_5b)(\bar
q\gamma^{\mu}(1-\gamma_5)q)|\Xi_{bc}^{\diamond}\rangle  &=& 0,\\
\langle \Xi_{bc}^{\diamond}|(\bar c\gamma_{\mu}(1-\gamma_5)c)(\bar
q\gamma^{\mu}(1-\gamma_5)q)|\Xi_{bc}^{\diamond}\rangle  &=&
2(m_c+m_l)\cdot |\Psi^{dl}(0)|^2,\\ \langle
\Xi_{bc}^{\diamond}|(\bar c\gamma_{\mu}\gamma_5c)(\bar
q\gamma^{\mu}(1-\gamma_5)q)|\Xi_{bc}^{\diamond}\rangle  &=& 0,\\
\langle \Omega_{bc}|(\bar b\gamma_{\mu}(1-\gamma_5)b)(\bar
c\gamma^{\mu}(1-\gamma_5)c)|\Omega_{bc}\rangle  &=&
8(m_b+m_c)\cdot |\Psi^{d}(0)|^2,\\ \langle
\Omega_{bc}|(\bar b\gamma_{\mu}\gamma_5b)(\bar
c\gamma^{\mu}(1-\gamma_5)c)|\Omega_{bc}\rangle  &=&
6(m_b+m_c)\cdot |\Psi^{d}(0)|^2,\\ \langle
\Omega_{bc}|(\bar b\gamma_{\mu}(1-\gamma_5)b)(\bar
s\gamma^{\mu}(1-\gamma_5)s)|\Omega_{bc}\rangle  &=&
2(m_b+m_s)\cdot |\Psi^{dl}(0)|^2,\\ \langle
\Omega_{bc}|(\bar b\gamma_{\mu}\gamma_5b)(\bar
s\gamma^{\mu}(1-\gamma_5)s)|\Omega_{bc}\rangle  &=& 0,\\
\langle \Omega_{bc}|(\bar c\gamma_{\mu}(1-\gamma_5)c)(\bar
s\gamma^{\mu}(1-\gamma_5)s)|\Omega_{bc}\rangle  &=&
