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This lecture by Dr. Cecilia Vogel explores the intricate world of antimatters, such as the properties of matter and antimatter particles. The discussion covers concepts like nuclear decay rates, the importance of leptons and quarks, and the conservation laws governing them. It also delves into the processes of particle creation and annihilation, illustrated with examples from beta-plus decay and positron emission tomography (PET). Emphasizing the fundamental symmetry between matter and antimatter, the lecture outlines how energy conversion occurs during annihilation, proving crucial for advanced physics applications.
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PH 103 Dr. Cecilia Vogel Lecture 24
Review • Nuclei • decay rate and number of nuclei • Matter Particles • leptons & quarks Outline • More Particles • antimatter • creation and annihilation • baryons & mesons
Antimatter Properties • For every matter particle there is an antimatter particle with • the same mass • always positive mass!!! • the same spin • opposite charge
Antimatter Matters • Antimatter is just accounting: • Lepton # = The number of leptons minus the number of antileptons is constant. • two electrons: lepton # is 2 • an electron and a positron: lepton # is zero • two positrons: lepton # is -2 • ALSO • Baryon # = (The number of quarks minus the number of antiquarks)/3 is constant.
Antimatter Matters • Imagine that Augustana currently has 50 more female students than male • & they decide to keep it that way forever • Then, if Augustana wants to admit a female, • would also have to admit a male • If a female student drops out or graduates • would also have to lose a male student • That’s how matter and antimatter work
Antimatter Matters • Antimatter is just accounting: • You can’t create a lepton • without creating an anti-lepton. • You can’t create a quark • without creating an anti-quark. • Note: you need to have enough energy to create the mass of both particle & antiparticle • Example: beta-plus decay • You can’t create a positron alone, • because, if you create anti-lepton (positron), you have to create a lepton, too. • Thus a positron is created, and so is a neutrino
Antimatter Matters • Antimatter is just accounting: • You can’t lose a lepton without losing an anti-lepton. • You can’t lose a quark without losing an anti-quark. • Example annihilation • If a particle meets its antiparticle, • the two can both disappear. • mass is lost! • The mass energy turns into other forms of energy • such as photons
PET • PET = Positron Emission Tomography • Beta-plus emitter emits a positron • which immediately annihilates with an electron • (electrons are everywhere) • mass of electron and positron disappears • two photons are produced • energy of photons =hf1+hf2 • Comes from the energy of the positron and electron = KE + 2mec2
It came from here PET • The two photons are detected. • Like with binocular vision, • if you have two rays, you can tell direction and distance! • 3-D image observed observed
Antimatter • Symbols for antimatter • For charged leptons, just show the opposite charge in superscript. • example e+, t+. • For all others, put a bar over the symbol • example ne, u
Antimatter e+ (positron) m+ t +
Quark Content • The charge of a particle made of quarks • is the sum of the charges of the quarks • The baryon # of a particle • also comes from adding the baryon #’s of the quarks • Quark content of a few particles can be found in text • otherwise figure it out from quark properties adding up
Baryons • Particles made up of three quarks • are called baryons • ex: proton is a baryon • made up of quarks uud • charge 2/3 + 2/3 - 1/3 = 3/3 = +1 • baryon # =1/3 + 1/3 +1/3 = 1 • ex: neutron is a baryon • made up of quarks udd • charge 2/3 - 1/3 - 1/3 = 0/3 = 0 • baryon # =1/3 + 1/3 +1/3 = 1
Mesons • Particles made up of a quark and an antiquark • are called mesons • ex: p+ is a meson • made up of ud • charge 2/3 + 1/3 = 3/3 = +1 • baryon # = 1/3 -1/3 =0
Integer Charge • Baryons all have integer charge • Any combination of 3 quarks will make -1, 0, +1, or +2 • -1/3 - 1/3 - 1/3 = -1 • -1/3 - 1/3 + 2/3 = 0 • -1/3 + 2/3 + 2/3 = +1 • +2/3 + 2/3 + 2/3 = +2
Integer Charge • Mesons all have integer charge • Any combination of quarks and anti-quark will make -1, 0 , or +1 • -1/3 - 2/3 = -1 • -1/3 + 1/3 = 0 • +2/3 - 2/3 = 0 • +2/3 + 1/3 = +1