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Nuclear Reactions

Nuclear Reactions. Sample. Nuclear Reactions. Nuclear Reactions. Nuclear Reactions. Nuclear Reactions. If the reaction reaches excited states of Y. 58 Ni( ,p) 61 Cu. even less …. less proton energy. Highest proton energy. See Figures 11.4 in Krane. Nuclear Reactions.

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Nuclear Reactions

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  1. Nuclear Reactions Sample Nuclear and Radiation Physics, BAU, First Semester, 2007-2008 (Saed Dababneh).

  2. Nuclear Reactions Nuclear and Radiation Physics, BAU, First Semester, 2007-2008 (Saed Dababneh).

  3. Nuclear Reactions Nuclear and Radiation Physics, BAU, First Semester, 2007-2008 (Saed Dababneh).

  4. Nuclear Reactions Nuclear and Radiation Physics, BAU, First Semester, 2007-2008 (Saed Dababneh).

  5. Nuclear Reactions • If the reaction reaches excited states of Y 58Ni(,p)61Cu even less …. less proton energy Highest proton energy See Figures 11.4 in Krane Nuclear and Radiation Physics, BAU, First Semester, 2007-2008 (Saed Dababneh).

  6. Nuclear Reactions • Neutron scattering • Inelastic Q = -Eex (=-E*). • Elastic Q = 0. HW 32 Discuss the elastic and inelastic scattering of neutrons using the relations you derived in HW 31. Nuclear and Radiation Physics, BAU, First Semester, 2007-2008 (Saed Dababneh).

  7. Nuclear Reactions • Categorization of Nuclear Reactions • According to: bombarding particle, bombarding energy, target, reaction product, reaction mechanism. • Bombarding particle: • Charged particle reactions. [ (p,n) (p,) (,) heavy ion reactions ]. • Neutron reactions. [ (n,) (n,p) ….. ]. • Photonuclear reactions. [ (,n) (,p) … ]. • Electron induced reactions…………. • Bombarding energy: • Thermal. • Epithermal. • Slow. • Fast. • Low energy charged particles. • High energy charged particles. ? Neutrons. Nuclear and Radiation Physics, BAU, First Semester, 2007-2008 (Saed Dababneh).

  8. Nuclear Reactions • Targets: • Light nuclei (A < 40). • Medium weight nuclei (40 < A < 150). • Heavy nuclei (A > 150). • Reaction products: • Scattering. Elastic 14N(p,p)14N Inelastic 14N(p,p/)14N* • Radiative capture. • Fission and fusion. • Spallation. • ….. • Reaction mechanism: • Direct reactions. • Compound nucleus reactions. • More in what follows …. • What is a transfer reaction….????? Pickup Resonant Stripping Non-resonant Nuclear and Radiation Physics, BAU, First Semester, 2007-2008 (Saed Dababneh).

  9. Reaction Cross Section(s) (Introduction) • Probability. • Projectile a will more probably hit target X if area is larger. • Classically:  = (Ra + RX)2. • Classical  = ??? (in b)1H + 1H, 1H + 238U, 238U + 238U • Quantum mechanically:  =  2. • Coulomb and centrifugal barriers  energy dependence of . • Nature of force: • Strong: 15N(p,)12C  = 0.5 b at Ep = 2 MeV. • Electromagnetic: 3He(,)7Be  = 10-6 b at E = 2 MeV. • Weak: p(p,e+)D  = 10-20 b at Ep = 2 MeV. • Experimental challenges to measure low X-sections.. HW 33 Nuclear and Radiation Physics, BAU, First Semester, 2007-2008 (Saed Dababneh).

  10. Reaction Cross Section(s) (Introduction) Detector for particle “b” d Ia “b” particles / s , cm2 “X“ target Nuclei / cm2 “a” particles / s Typical nucleus (R=6 fm): geometrical R2  1 b. Typical : <b to >106 b. Nuclear and Radiation Physics, BAU, First Semester, 2007-2008 (Saed Dababneh).

  11. Reaction Cross Section(s) (Introduction) Many different quantities are called “cross section”. Krane Table 11.1 Angular distribution Units … ! “Differential” cross section (,) or ( ) or “cross section” …!! Doubly differential t for all “b” particles. Energy state in “Y” Nuclear and Radiation Physics, BAU, First Semester, 2007-2008 (Saed Dababneh).

  12. Coulomb Scattering • Elastic or inelastic. • Elastic  Rutherford scattering. • At any distance: V = 0 Ta = ½mvo2 l = mvob vmin vo rmin b d Nuclear and Radiation Physics, BAU, First Semester, 2007-2008 (Saed Dababneh). No dependence on 

  13. Coulomb Scattering Nuclear and Radiation Physics, BAU, First Semester, 2007-2008 (Saed Dababneh).

  14. Coulomb Scattering b < b >  dbd n target nuclei / cm3 x target thickness (thin). nx  target nuclei / cm2 HW 34 Show that and hence b Rutherford cross section Nuclear and Radiation Physics, BAU, First Semester, 2007-2008 (Saed Dababneh).

  15. Coulomb Scattering Study Fig. 11.10 (a,b,c,d) in Krane See also Fig. 11.11 in Krane. HW 35 Show that the fraction of incident alpha particles scattered at backward angles from a 2 m gold foil is 7.48x10-5. Nuclear and Radiation Physics, BAU, First Semester, 2007-2008 (Saed Dababneh).

  16. Coulomb Scattering • Elastic  Rutherford scattering. • Inelastic Coulomb excitation. See the corresponding alpha spectrum of Fig. 11.12 in Krane. Nuclear and Radiation Physics, BAU, First Semester, 2007-2008 (Saed Dababneh).

  17. Coulomb Scattering Nuclear and Radiation Physics, BAU, First Semester, 2007-2008 (Saed Dababneh).

  18. Nuclear Scattering • Elastic or inelastic. • Analogous to diffraction. • Alternating maxima and minima. • First maximum at • Minimum not at zero (sharp edge of the nucleus??) • Clear for neutrons. • Protons? High energy, large angles. Why? • Inelastic  Excited states, energy, X-section and spin-parity. Nuclear and Radiation Physics, BAU, First Semester, 2007-2008 (Saed Dababneh).

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