Gamow peak E_0 = (E_G·(k_BT)²/4)^{1/3} exact saddle point

Exact closed-form derivation of the stellar-fusion Gamow-peak energy. The integrand of the thermal reaction rate ∝ exp(−E/k_BT) · exp(−√(E_G/E)). Log-derivative stationary condition: d/dE [−E/k_BT − √(E_G/E)] = −1/k_BT +…