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Accelerator technique. FYSN 430 Fall 2008. Syllabus. Task: determine all possible parameters for a new accelerator project Known: Scope of physics done with an accelerator Needed Accelerator type Building Devices…. Physics case. Nuclear physics Study of neutron rich isotopes
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Accelerator technique FYSN 430 Fall 2008
Syllabus • Task: determine all possible parameters for a new accelerator project • Known: Scope of physics done with an accelerator • Needed • Accelerator type • Building • Devices…
Physics case • Nuclear physics • Study of neutron rich isotopes • Study of heavy isotopes • Nuclear reactions • Applications • Isotope production with protons • Radiation damage tests (SEE) • Possible future plans ?
Relevant parameters • Accelerated isotopes • Beam energies (low and high) • Beam intensities • Other beam properties • Emittance • Time structure • …
Coulomb barrier for fusion reactions(production of heavy isotopes) • For fusion reactions the repulsive Coulomb barrier has to be overcome Coulomb force Coulomb potential that q1 feels
q2, A2 q1, A1 r2 r1 rC = r1 + r2
Distance at which nuclei touch each other Coulomb energy at rc
Examples Fe + Pb A1 = 56, Q1 = 27 A2 = 208, Q2 = 82 WC = 272.5 MeV or 4.9 MeV/u for Fe C + Sn A1 = 12, Q1 = 6 A2 = 120, Q2 = 50 WC = 49.8 MeV or 4.15 MeV/u for C
Note! Remember also recoil: The compound nucleus moves due to recoil Conservation of momentum: Kinetic energy of the recoil
Total kinetic energy (lab. Frame) needed for the projectile Eproj=Ecoul+Erecoil Usually a small correction Rule of thumb: Eproj, lab/Aproj = 5 MeV/u
Proton induced fission p- induced and n-induced Reaction (e.g.) proton + U • Coulomb wall approx. 15.4 MeV
Mass distribution Higher proton energy
Low energy limit • Are energies below 5 MeV/u interesting? • No fusion • Advantage: Coulomb excitation • Ask the physicists for the lower limit • E.g. 40 MeV 40Ar: 1 MeV/u
Beam intensities • Isotope production • High (100 mA) • Nuclear spectroscopy • A few pna – a few pmA • SEE tests • 100 particles/s (aA) and more
Energy Protons: 1-100 MeV Other ions: 1- nx10 MeV/u Intensity aA – 100 mA Some limits
Possible accelerators • Linear accelerator • Wideröe • Alvarez • Electrostatic (Tandem) • Cyclotron • Super conducting vs. conventional • Synchrotron