Nuclear Properties (30 pages)
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Nuclear Properties
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Lecture Notes
 Pages:
 30
 School:
 University of Texas at Arlington
 Course:
 Phys 3446  Nuclear and Particle Physics
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PHYS 3446 Lecture 6 Monday Sep 27 2010 Dr Brandt 1 Nuclear Properties Size Spin Magnetic dipole moment Stability Instability Monday Sept 27 2010 PHYS 3446 Fall 2010 Andrew Brandt 1 Reviewed cgs units See for example http en wikipedia org wiki Statcoulomb Problem 1 4 can be turned in for extra credit in HW 2 on Friday Went through problems 1 1 and 1 10 next 2 slides Monday Sept 27 2010 PHYS 3446 Fall 2010 Andrew Brandt 2 Monday Sept 27 2010 PHYS 3446 Fall 2010 Andrew Brandt 3 Monday Sept 27 2010 PHYS 3446 Fall 2010 Andrew Brandt 4 Nuclear Properties Binding Energy For a nucleus of mass M consisting of with Z protons and A Z N neutrons the mass deficit DM A Z M A Z Zm p A Z mn is always negative and is proportional to the nuclear binding energy How are the BE and mass deficit related B E DM A Z c 2 The binding energy is the minimum energy required to release all nucleons from a nucleus Monday Sept 27 2010 PHYS 3446 Fall 2010 Andrew Brandt 5 Nuclear Properties Binding Energy BE per nucleon is BE A DM A Z c 2 A Zm p A Z mn M A Z c Monday Sept 27 2010 A 2 PHYS 3446 Fall 2010 Andrew Brandt Rapidly increase with A till A 60 at which point BE 9MeV A 60 the B E gradually decrease For most of the large A nucleus BE 8MeV 6 Nuclear Properties Binding Energy de Broglie s wavelength Where h is the Planck s constant And D is the reduced wavelength h D p Assuming 8 MeV was given to a nucleon mn 940MeV its wavelength is hc h h 197 Mev fm D 1 6 fm 2 p 2 940 8 2mT 2mc T Makes sense for nucleons to be inside a nucleus since the size is smaller than the nucleus What about an electron with 8MeV The wavelength is 25 fm much larger than a nucleus Monday Sept 27 2010 An electron with 120 MeV would fit PHYS 3446 Fall 2010 Andrew Brandt in nucleus but energy is too high 7 Nuclear Properties Size Scatter very high E projectiles for head on collisions 2 As E increases DCA becomes 0 High E particles can probe deeper into nucleus r0min ZZ e E Use electrons to probe the charge distribution form
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