Introduction to Nuclear reactions

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Direct reaction Stripping Reaction Incoming projectile leaves a particle in well-defined state of the residual nucleus. From σ(θ) of scattered protons, deduce properties of singleparticle states of residual nucleus. “Distorted Wave Born approximation” (DWBA): Approximate the incoming and outgoing waves with optical model representations, from analysis of elastic scattering. The “transition amplitude” is T = ∫[outgoing wave] F(r) [incoming wave] dv, where F(r), the “form factor,” contains the structure information. Differential cross section, σ(θ), is proportional to |T| 2 . Modify F(r) until it reproduces σ(θ)for each state of the residual nucleus.
Example of stripping reaction: 90 Zr(d,p) 91 Zr Spectrum of protons (for each angle) show peaks related to states of 91 Zr Data is sorted by gating counts for each proton peak when graphing differential cross sections. Deduce single-particle structure information from the σ(θ) curves.
Page 1 and 2: Introduction to Nuclear reactions G
Page 3 and 4: Examples of nuclear reactions: Fiss
Page 5 and 6: Cross Section, σ σ = “effective
Page 7 and 8: Q Value X(a,b)Y Define Q value as a
Page 9 and 10: Rutherford Scattering Scattering fr
Page 11 and 12: ¡ £ Partial Wave Analysis of nucl
Page 13 and 14: Compound Reactions a + X --> C* -->
Page 15 and 16: (n,n'γ) and (n,2nγ) reactions Neu
Page 17: Nuclear Optical Model Potential V(E
Page 21 and 22: Radiative Capture Deduce electromag

Introduction to Nuclear reactions

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