1 00:00:08,070 --> 00:00:10,150 MARKUS KLUTE: Welcome back to 8.701. 2 00:00:10,150 --> 00:00:11,860 With this lecture, I'd like to introduce 3 00:00:11,860 --> 00:00:16,239 the major players of this class, the particles, 4 00:00:16,239 --> 00:00:20,700 fundamental particles, but also some of the compound particles, 5 00:00:20,700 --> 00:00:22,620 which play a role in the discussions we'll 6 00:00:22,620 --> 00:00:23,730 have over the next weeks. 7 00:00:27,790 --> 00:00:33,280 For centuries, people believed that atoms 8 00:00:33,280 --> 00:00:37,840 are the most fundamental constituents of matter. 9 00:00:37,840 --> 00:00:40,630 The name atom comes from the Greek atomic, 10 00:00:40,630 --> 00:00:43,990 which means not divisible. 11 00:00:43,990 --> 00:00:49,570 But as you know today, electrons and nuclei build an atom. 12 00:00:52,680 --> 00:00:56,250 But even those nuclei are not fundamental particles. 13 00:00:56,250 --> 00:00:58,410 As you see nicely here in this picture, 14 00:00:58,410 --> 00:01:03,420 the nucleus can be built out of many neutrons and protons, 15 00:01:03,420 --> 00:01:05,640 and even those protons and neutrons 16 00:01:05,640 --> 00:01:07,620 are not fundamental particles. 17 00:01:07,620 --> 00:01:11,070 A proton, for example, as depicted here, 18 00:01:11,070 --> 00:01:14,640 has three components and three constituents, 19 00:01:14,640 --> 00:01:17,070 two up quarks and one down quark. 20 00:01:17,070 --> 00:01:20,976 A neutron, then, is built out of one down quark and two up 21 00:01:20,976 --> 00:01:21,650 quarks. 22 00:01:21,650 --> 00:01:25,590 It's kind of important to understand and appreciate 23 00:01:25,590 --> 00:01:31,650 the size of those particles, specifically the difference 24 00:01:31,650 --> 00:01:32,700 in size. 25 00:01:32,700 --> 00:01:36,420 Comparing here an atom, a typical atom, of the size of 10 26 00:01:36,420 --> 00:01:39,120 to the minus 10 meters, and that compares 27 00:01:39,120 --> 00:01:45,210 to a nucleon, which can be a few 10 to the minus 15 meters. 28 00:01:45,210 --> 00:01:47,820 When we talk about a proton, we typically 29 00:01:47,820 --> 00:01:51,390 like to use units of femtometers, 30 00:01:51,390 --> 00:01:54,630 which is 10 times 10 to the minus 15 meters. 31 00:01:57,220 --> 00:02:01,000 The tremendous size different or the expansive finding 32 00:02:01,000 --> 00:02:03,550 of the famous gold foil experiment, which 33 00:02:03,550 --> 00:02:06,160 found that an atom basically is made out 34 00:02:06,160 --> 00:02:09,669 of a nothingness, empty space, and a very dense 35 00:02:09,669 --> 00:02:12,560 charged core, the nucleus. 36 00:02:12,560 --> 00:02:14,420 So you see this very much in this picture 37 00:02:14,420 --> 00:02:17,860 and by comparing those order of magnitudes. 38 00:02:17,860 --> 00:02:21,550 Not shown in this picture here is a particle which 39 00:02:21,550 --> 00:02:25,390 doesn't really like to interact with anybody else or which 40 00:02:25,390 --> 00:02:28,720 the forces it's interacting with are so weak that it cannot be 41 00:02:28,720 --> 00:02:31,630 found, and that is a neutrino. 42 00:02:31,630 --> 00:02:33,790 A neutrino is not that different from an electron 43 00:02:33,790 --> 00:02:35,380 or from a quark. 44 00:02:35,380 --> 00:02:40,330 It's just that the interactions it participates in 45 00:02:40,330 --> 00:02:42,970 are only the big force as we understand today. 46 00:02:48,100 --> 00:02:51,370 Just to be clear, when I talk about a fundamental particle, 47 00:02:51,370 --> 00:02:56,140 I talk about a particle which has no size, 48 00:02:56,140 --> 00:02:59,920 it's infinitely small. 49 00:02:59,920 --> 00:03:02,890 It has no substructure, meaning it cannot be broken up 50 00:03:02,890 --> 00:03:08,240 into constituents and can also not be excited. 51 00:03:08,240 --> 00:03:12,470 Having said that, this is our current understanding of nature 52 00:03:12,470 --> 00:03:14,390 and of those particles. 53 00:03:14,390 --> 00:03:17,180 Experimentally, we can only probe those particles 54 00:03:17,180 --> 00:03:20,780 to a certain scale or size, and we'll 55 00:03:20,780 --> 00:03:23,360 talk later about how precisely we actually 56 00:03:23,360 --> 00:03:25,700 do know that a quark is fundamental 57 00:03:25,700 --> 00:03:27,822 or an electron is fundamental. 58 00:03:32,070 --> 00:03:34,680 In this discussion here and most of the lecture, 59 00:03:34,680 --> 00:03:37,170 I talk about the standard model in particle physics. 60 00:03:42,790 --> 00:03:46,330 It is a fact that our measurements 61 00:03:46,330 --> 00:03:49,420 and our experimental findings are 62 00:03:49,420 --> 00:03:56,110 in fantastic agreement with this very predictive theory. 63 00:03:56,110 --> 00:04:00,160 The only experimental deviation from this 64 00:04:00,160 --> 00:04:02,260 is the fact that we measure the mass of neutrinos 65 00:04:02,260 --> 00:04:04,630 to be non-zero. 66 00:04:04,630 --> 00:04:08,530 As a consequence, you could say the standard model is broken 67 00:04:08,530 --> 00:04:10,870 or we found physics beyond the standard model, 68 00:04:10,870 --> 00:04:13,090 but it is actually rather straightforward 69 00:04:13,090 --> 00:04:16,850 to extend the standard model to accommodate neutrino masses. 70 00:04:16,850 --> 00:04:19,630 So we can just forget about this small fact 71 00:04:19,630 --> 00:04:22,060 and assume that the standard model describes nature 72 00:04:22,060 --> 00:04:23,530 as we know it. 73 00:04:23,530 --> 00:04:28,660 In the last week of this class, we'll talk about motivation, 74 00:04:28,660 --> 00:04:31,240 why we thinks that the standard model, in fact, 75 00:04:31,240 --> 00:04:35,860 is not complete, and one of the big drivers here is the fact 76 00:04:35,860 --> 00:04:41,510 that we cannot describe all observations in nature, 77 00:04:41,510 --> 00:04:44,740 specifically the observation of dark matter, 78 00:04:44,740 --> 00:04:47,143 with the standard model in particle physics. 79 00:04:47,143 --> 00:04:48,310 But that's for a later date. 80 00:04:52,710 --> 00:04:55,740 Looking into some more detail, the standard model 81 00:04:55,740 --> 00:05:00,660 has sets of particles, some particles which 82 00:05:00,660 --> 00:05:03,660 carry forces and some are metaparticles. 83 00:05:03,660 --> 00:05:08,760 The ones who carry forces are all spin-one particles, 84 00:05:08,760 --> 00:05:11,580 and their bosons. 85 00:05:11,580 --> 00:05:16,380 We have, in the standard model, describe three interactions. 86 00:05:16,380 --> 00:05:18,270 The electromagnetic interactions, 87 00:05:18,270 --> 00:05:24,330 which are known from light, electromagnetic phenomena, 88 00:05:24,330 --> 00:05:25,620 chemistry. 89 00:05:25,620 --> 00:05:28,890 The atom's behavior molecule is determined 90 00:05:28,890 --> 00:05:31,997 by electromagnetic interactions. 91 00:05:31,997 --> 00:05:33,580 And then there's a strong interaction. 92 00:05:33,580 --> 00:05:35,610 The name already tells you that it's strong. 93 00:05:35,610 --> 00:05:37,250 It's very strong. 94 00:05:37,250 --> 00:05:39,840 The first carrier here is the gluon. 95 00:05:39,840 --> 00:05:42,810 The gluons, there's eight, and then 96 00:05:42,810 --> 00:05:49,450 differentiated by the so-called color, 97 00:05:49,450 --> 00:05:52,700 which is an interesting effect. 98 00:05:52,700 --> 00:05:55,730 And then, there is the weak interaction carried 99 00:05:55,730 --> 00:05:58,430 by the W boson and the Z boson. 100 00:05:58,430 --> 00:06:01,250 They are different in their own right because they carry mass. 101 00:06:01,250 --> 00:06:02,630 They are massive particles. 102 00:06:02,630 --> 00:06:07,220 And they're actually quite heavy, about 80 to 100 times as 103 00:06:07,220 --> 00:06:11,390 heavy as a proton. 104 00:06:11,390 --> 00:06:14,690 The weak interaction is responsible for neutron decays, 105 00:06:14,690 --> 00:06:17,390 also responsible for the burning of the sun. 106 00:06:17,390 --> 00:06:20,900 And in our nuclear physics part, we talk in detail about what 107 00:06:20,900 --> 00:06:22,580 that all means. 108 00:06:22,580 --> 00:06:24,290 Gravitational effects are not considered 109 00:06:24,290 --> 00:06:25,250 in the standard model. 110 00:06:25,250 --> 00:06:27,980 They are very, very weak compared 111 00:06:27,980 --> 00:06:31,890 to the strength of the other forces we'll discuss here. 112 00:06:31,890 --> 00:06:33,740 But it's technically very difficult 113 00:06:33,740 --> 00:06:37,400 to actually accommodate gravity as part 114 00:06:37,400 --> 00:06:39,920 of a quantum [INAUDIBLE] theory. 115 00:06:39,920 --> 00:06:43,880 And therefore, we will simply ignore this fact. 116 00:06:43,880 --> 00:06:46,082 And this is yet another reason why 117 00:06:46,082 --> 00:06:47,540 you can consider the standard model 118 00:06:47,540 --> 00:06:53,700 to be incomplete as a model or theory describing nature. 119 00:06:53,700 --> 00:06:56,190 The matter particles themselves are all fermions. 120 00:06:56,190 --> 00:06:57,480 They have spin half. 121 00:06:57,480 --> 00:06:59,520 And they come in three different generations. 122 00:06:59,520 --> 00:07:02,970 The only difference between one generation to the next 123 00:07:02,970 --> 00:07:07,870 is the fact that those particles have different mass. 124 00:07:07,870 --> 00:07:10,360 In other words, their coupling to the Higgs field 125 00:07:10,360 --> 00:07:11,350 is different. 126 00:07:11,350 --> 00:07:13,970 And that's the only difference between those particles. 127 00:07:13,970 --> 00:07:17,050 There's consequences out of this, for example 128 00:07:17,050 --> 00:07:21,250 heavier particles indicating to lighter particles. 129 00:07:21,250 --> 00:07:24,040 We differentiate between the quarks and leptons. 130 00:07:24,040 --> 00:07:27,370 Quarks partake in the strong interactions, 131 00:07:27,370 --> 00:07:30,940 while electrons are neutral in the strong interaction. 132 00:07:30,940 --> 00:07:32,800 And then we have seen neutrinos already 133 00:07:32,800 --> 00:07:35,620 and, electron-type particles. 134 00:07:35,620 --> 00:07:38,590 Electron-type particles, charged leptons, 135 00:07:38,590 --> 00:07:40,060 they have electric charge. 136 00:07:40,060 --> 00:07:43,930 So they couple to photons by neutrinos bond. 137 00:07:43,930 --> 00:07:48,670 I'll show you here again one of those striking differences. 138 00:07:48,670 --> 00:07:54,430 An electron is 9 times 10 to the minus 31 kilograms heavy. 139 00:07:54,430 --> 00:07:57,800 We like to talk about units in a different class. 140 00:07:57,800 --> 00:08:01,570 But that's 511 keV. 141 00:08:01,570 --> 00:08:05,770 While the neuron is about 200 times heavier, and even heavier 142 00:08:05,770 --> 00:08:06,600 the tau lepton. 143 00:08:06,600 --> 00:08:08,920 And as I said before, that allows 144 00:08:08,920 --> 00:08:11,050 that tau lepton [INAUDIBLE] neurons to decay 145 00:08:11,050 --> 00:08:13,360 into lighter particles. 146 00:08:13,360 --> 00:08:17,680 We'll talk about this and how we can use those decays in order 147 00:08:17,680 --> 00:08:20,930 to learn about the standard model. 148 00:08:20,930 --> 00:08:23,300 And then there is the Higgs boson. 149 00:08:23,300 --> 00:08:27,380 And again, the Higgs boson, discovered in 2012, 150 00:08:27,380 --> 00:08:30,590 plays a very special role in the standard model. 151 00:08:30,590 --> 00:08:34,429 We talk about the Lagrange is a theory which 152 00:08:34,429 --> 00:08:37,294 describes the standard model, or which is the basic-- 153 00:08:37,294 --> 00:08:39,000 is a theory itself. 154 00:08:39,000 --> 00:08:42,664 And later on, in this theory we introduce a potential which 155 00:08:42,664 --> 00:08:46,700 is shown here-- it's this Mexican hat-- 156 00:08:46,700 --> 00:08:48,530 if you want-- potential. 157 00:08:48,530 --> 00:08:51,860 And what you see here is that in this picture, 158 00:08:51,860 --> 00:08:54,290 that the lowest energy state of this potential 159 00:08:54,290 --> 00:08:55,950 breaks a symmetry. 160 00:08:55,950 --> 00:08:58,910 So it's away from the 0 point. 161 00:08:58,910 --> 00:09:01,670 And that symmetry breaking then gives mass 162 00:09:01,670 --> 00:09:05,000 to the W and the Z boson, which I was describing before. 163 00:09:05,000 --> 00:09:08,810 And the coupling of meta particles to the Higgs field 164 00:09:08,810 --> 00:09:10,730 gives mass at this point. 165 00:09:10,730 --> 00:09:12,380 All this on a later date. 166 00:09:12,380 --> 00:09:14,960 I thought here, I'd also give you how CERN actually 167 00:09:14,960 --> 00:09:18,500 depicts the Higgs boson. 168 00:09:18,500 --> 00:09:20,900 July 4th is a special day in the US, 169 00:09:20,900 --> 00:09:23,930 but it's also a special day at CERN, 170 00:09:23,930 --> 00:09:26,930 because the Higgs discovery has been announced on this day. 171 00:09:26,930 --> 00:09:30,650 And at CERN, typically, the menu is enriched on that day 172 00:09:30,650 --> 00:09:35,240 by the Higgs boson itself in the form of pizza, which 173 00:09:35,240 --> 00:09:37,640 takes the shape of event displays-- 174 00:09:37,640 --> 00:09:40,250 displays of proton-proton collisions 175 00:09:40,250 --> 00:09:43,400 into the Higgs boson and then further decays. 176 00:09:43,400 --> 00:09:47,250 We'll look at some of those event displays also later. 177 00:09:47,250 --> 00:09:49,810 Well, that completes the elementary-- the fundamental 178 00:09:49,810 --> 00:09:54,760 particles of the standard model, particles which describe 179 00:09:54,760 --> 00:09:56,750 almost everything around us. 180 00:09:56,750 --> 00:09:59,350 So we have seen the charged and neutral leptons. 181 00:09:59,350 --> 00:10:00,550 We have seen the quarks. 182 00:10:00,550 --> 00:10:04,000 We have seen the force carriers, with the W/Z bosons, the photon 183 00:10:04,000 --> 00:10:06,940 and the gluon, and the Higgs boson, which 184 00:10:06,940 --> 00:10:10,493 is kind of the very special particle holding this 185 00:10:10,493 --> 00:10:11,035 all together. 186 00:10:14,450 --> 00:10:16,400 An interesting point here is, again, 187 00:10:16,400 --> 00:10:20,300 looking a little bit at history and when those particles have 188 00:10:20,300 --> 00:10:24,200 been discovered, and also when those particles have 189 00:10:24,200 --> 00:10:29,000 been explained-- 190 00:10:29,000 --> 00:10:31,170 and I don't want to read this all to you. 191 00:10:31,170 --> 00:10:34,160 You see that the earliest discovery was a discovery 192 00:10:34,160 --> 00:10:38,210 by J.J. Thomson of the electron, and the latest, 193 00:10:38,210 --> 00:10:41,250 the completion of the particles in the standard model-- 194 00:10:41,250 --> 00:10:43,910 the Higgs boson-- in 2012. 195 00:10:43,910 --> 00:10:46,820 Interesting for the Higgs boson, the time 196 00:10:46,820 --> 00:10:50,080 between the theoretical discovery 197 00:10:50,080 --> 00:10:53,920 by Peter Higgs and friends was about 50 years 198 00:10:53,920 --> 00:10:55,720 before the experimental discovery. 199 00:10:58,240 --> 00:11:00,400 But then there is also composite particles. 200 00:11:00,400 --> 00:11:04,072 The things around you are all composite particles. 201 00:11:04,072 --> 00:11:08,770 Here, we can differentiate between mesons and baryons. 202 00:11:08,770 --> 00:11:10,690 Mesons are particles which are made out 203 00:11:10,690 --> 00:11:13,560 of quarks and antiquark pairs [? for the ?] bound states. 204 00:11:13,560 --> 00:11:18,430 And they are bosonic, because you add 2 1/2 particles 205 00:11:18,430 --> 00:11:19,480 together. 206 00:11:19,480 --> 00:11:21,920 One example is a pion, which is made out 207 00:11:21,920 --> 00:11:24,490 of up quarks and down quarks that can 208 00:11:24,490 --> 00:11:27,220 be charged in neutral pions. 209 00:11:27,220 --> 00:11:31,760 And the zoo of particle increases quite quickly 210 00:11:31,760 --> 00:11:34,450 if you then consider that it's not just up and down quarks 211 00:11:34,450 --> 00:11:35,630 making those particles. 212 00:11:35,630 --> 00:11:39,340 But you could add strangeness to that, meaning a strange quark. 213 00:11:39,340 --> 00:11:45,490 And so you see here in this picture, the mesons, the pions, 214 00:11:45,490 --> 00:11:48,730 etas, but also then neutrons and charged particles 215 00:11:48,730 --> 00:11:51,310 with different charges, and then kaons, 216 00:11:51,310 --> 00:11:53,080 which are particles which have one 217 00:11:53,080 --> 00:11:56,598 s quark in addition to an up quark and down quark. 218 00:11:56,598 --> 00:11:57,640 And then there's baryons. 219 00:11:57,640 --> 00:11:59,440 They are made out of three quarks. 220 00:11:59,440 --> 00:12:01,900 We have already seen the protons and neutrons. 221 00:12:01,900 --> 00:12:06,080 But also here, you can see a different configuration. 222 00:12:06,080 --> 00:12:09,280 We'll introduce the concept of isospin. 223 00:12:09,280 --> 00:12:11,200 You can see here the proton and the neutron, 224 00:12:11,200 --> 00:12:13,690 and then strangeness being added with one or two 225 00:12:13,690 --> 00:12:14,950 components of strangeness. 226 00:12:14,950 --> 00:12:17,920 And then there is this isospin component as well. 227 00:12:17,920 --> 00:12:21,220 This situation becomes complex very, very quickly. 228 00:12:21,220 --> 00:12:24,970 But we'll look at this in more detail. 229 00:12:24,970 --> 00:12:27,170 And then again, putting those bound 230 00:12:27,170 --> 00:12:30,550 states together-- bound states of protons and neutrons 231 00:12:30,550 --> 00:12:32,470 through the strong force gives us 232 00:12:32,470 --> 00:12:36,310 a rich table of nuclei on isotope tape. 233 00:12:36,310 --> 00:12:40,300 Here, you can describe nuclei by the number of protons, which 234 00:12:40,300 --> 00:12:43,010 is typically called Z, and the number of neutrons, 235 00:12:43,010 --> 00:12:45,530 which is typically called N. The sum, 236 00:12:45,530 --> 00:12:48,535 N plus Z is the atomic mass. 237 00:12:48,535 --> 00:12:52,720 Now, each proton and neutron are about 1 geV heavy. 238 00:12:52,720 --> 00:12:55,730 And then the atomic mass is simply the sum of them. 239 00:12:55,730 --> 00:12:58,180 So you already know explicitly how heavy 240 00:12:58,180 --> 00:13:00,975 your isotope might be. 241 00:13:00,975 --> 00:13:03,100 We'll talk about the fact that those masses are not 242 00:13:03,100 --> 00:13:05,830 quite the sum of the masses later, 243 00:13:05,830 --> 00:13:09,250 because there is some binding energy involved. 244 00:13:09,250 --> 00:13:12,790 And then isotopes can be stable or unstable. 245 00:13:12,790 --> 00:13:15,190 They can decay in various processes. 246 00:13:15,190 --> 00:13:17,170 You can combine them. 247 00:13:17,170 --> 00:13:19,760 It's very interesting to understand how they're actually 248 00:13:19,760 --> 00:13:22,930 being created in our solar system or the universe 249 00:13:22,930 --> 00:13:24,770 in general. 250 00:13:24,770 --> 00:13:26,650 So with this, I would like to conclude 251 00:13:26,650 --> 00:13:28,410 this part of the introduction. 252 00:13:28,410 --> 00:13:31,810 So we have seen the major players 253 00:13:31,810 --> 00:13:34,830 of this course with the fundamental particles, 254 00:13:34,830 --> 00:13:40,520 but also the compound particles, meson, baryons, and nuclei. 255 00:13:40,520 --> 00:13:42,710 And there's a few more points in the introduction 256 00:13:42,710 --> 00:13:45,290 before we then dive into a little bit more 257 00:13:45,290 --> 00:13:48,220 of the theoretical discussion.