Gamow-peak saddle-point: maximum of f(E) = -E/kT - b/sqrt(E) at E_0 = (b kT / 2)^(2/3) * 2^(1/3)

Layer 1 — Physicsin the nuclear-reactions subtree

Gamow peak framework for stellar nuclear burning (Gamow 1928; Burbidge-Burbidge-Fowler-Hoyle 1957 Rev Mod Phys 29, 547). Setup: the reaction rate for charged-particle fusion at stellar core temperature T (k_B T << Coulomb barrier) is the…

Related concepts

Fundamental theorem of algebra
Theorem: Gamow-peak saddle E_0 = 2^(1/3) b^(2/3) (k_BT)^(2/3) / 2 (unique positive real root)

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