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Nuclear Reactions in Stars & in the Laboratory

Nuclear Reactions in Stars & in the Laboratory

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A+p<br />

capture<br />

Resonance<br />

Cross-Section and S<br />

Cross section and reaction rate<br />

Section and S-Factor<br />

B<br />

energy<br />

cross section often expressed as S-factor<br />

A+p<br />

A+p<br />

Resonance<br />

B<br />

direct<br />

capture<br />

B<br />

cross section<br />

S(E) = σ(E) E exp(2πη)<br />

direct<br />

capture<br />

uncerta<strong>in</strong>ties at low energies<br />

due to deviations from<br />

Resonance<br />

l=0 Coulomb penetrability<br />

and due to threshold contributions<br />

energy<br />

cross section often expressed as S-factor<br />

S-factor<br />

direct<br />

capture<br />

energy<br />

Resonance<br />

S-factor to correct for Coulomb barrier: S(E) = σ(E) E e 2πη<br />

S(E) = σ(E) E exp(2πη)<br />

-factor<br />

direct<br />

capture

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