From: Serdar GOKHAN on
Hi Sir,
Thank you for your wise and valuable reply. As you guess, It is still difficult to get analytical solution. Your assertion is true that,

kappa is very close to (- alpha_s) and gamma1 is very close to (- alpha_s) with negative sign. However, not the same as you guess.

kappa ~ - alpha_s
gamma1 ~ - alpha_p

I think you conclude the solution with your last assertion.

Thank you very much for your kind helps and wise information.
Best Regards.
Serdar