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Nuclear Reactions --Part 2
Lesson 11 Nuclear Reactions --Part 2
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Compound Nuclear Reactions
The compound nucleus is a long-lived reaction intermediate that is formed by a complex set of interactions between the projectile and the target. The projectile and target nuclei fuse and the energy of the projectile is shared among all the nucleons of the composite system. The lifetime of the CN is ~ s. This lifetime is directly measurable by crystal-blocking techniques.
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Independence Hypothesis or “Amnesia Assumption”
The mode of decay of the CN is independent of its mode of formation. Caveat: Conservation laws apply. Experimental evidence: the Ghoshal expt. Angular distributions symmetric about 90 in CN frame.
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62Cu>63Zn>62Ni ang. mom effects
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Cross Sections--General
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Cross Sections--Energy Dependence
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/D << 1 For reaction a + A Cb + B
Applying this to (n,) reactions
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/D >>1 For reaction a + A Cb + B ab = C PC(b)
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/D >>1 Assumption is that of statistical equilibrium
For reaction a + A Cb + B ab = C PC(b) So the problem is to calculate the probability that C will decay to B + b.
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Level densities
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If emitted particles are neutrons
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If emitted particles are charged particles
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Excitation functions
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Photonuclear Reactions
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Photonuclear Reactions
GDR-- a giant oscillation of the nuclear protons vs the nuclear neutrons dipole sum rule
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Heavy Ion Reactions Classical motion
Dominated by high angular momentum Aproj > 4
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Mechanisms
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Mechanisms
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Elastic scattering
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Fusion
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Deep Inelastic Scattering
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High Energy Reactions Low energy (< 10 MeV/A)
Intermediate Energy ( MeV/A) High Energy (>250 MeV/A)
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Spallation
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New high energy mechanisms
Spallation IMF formation Cascade processes Participant-Spectator Picture
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Cascades nucleon-nucleon collisions
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Participant-Spectator Physics
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Multifragmentation “Multifragmentation” refers to central collisions where several IMFs are emitted. Caloric curve
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