30.10 Strange Particles and Strangeness 991Quick Quiz 30.2Which of the following reactions cannot occur?(a) p p : p p p (b) n : p e e(c) : e (d) e : Quick Quiz 30.3Which of the following reactions cannot occur?(a) p p : 2 (b)(c) (d) p : K p : n 0 0 n : K Quick Quiz 30.4Suppose a claim is made that the decay of a neutron is given by n : p e .Which of the following conservation laws are necessarily violated by this proposeddecay scheme? (a) energy (b) linear momentum (c) electric charge (d) leptonnumber (e) baryon number30.10 STRANGE PARTICLES AND STRANGENESSMany particles discovered in the 1950s were produced by the nuclear interactionof pions with protons and neutrons in the atmosphere. A group of these particles,namely the K, , and particles, was found to exhibit unusual properties in theirproduction and decay and hence were called strange particles.One unusual property of strange particles is that they are always producedin pairs. For example, when a pion collides with a proton, two neutral strange particlesare produced with high probability (Fig. 30.8) following the reaction p : K 0 0 p : K 0 nOn the other hand, the reactionhas never occurred, eventhough it violates no known conservation laws and the energy of the pion is sufficientto initiate the reaction.The second peculiar feature of strange particles is that although they are producedby the strong interaction at a high rate, they do not decay into particles thatinteract via the strong force at a very high rate. Instead, they decay very slowly,which is characteristic of the weak interaction. Their half-lives are in the rangefrom 10 10 s to 10 8 s; most other particles that interact via the strong force havelifetimes on the order of 10 23 s.To explain these unusual properties of strange particles, a law called conservationof strangeness was introduced, together with a new quantum number S calledstrangeness. The strangeness numbers for some particles are given in Table 30.2.The production of strange particles in pairs is explained by assigning S 1to one of the particles and S 1 to the other. All nonstrange particles areassigned strangeness S 0. The law of conservation of strangeness states thatwhenever a nuclear reaction or decay occurs, the sum of the strangeness numbersbefore the process must equal the sum of the strangeness numbers after theprocess.The slow decay of strange particles can be explained by assuming that thestrong and electromagnetic interactions obey the law of conservation of strangeness,whereas the weak interaction does not. Because the decay reaction involvesthe loss of one strange particle, it violates strangeness conservation and hence proceedsslowly via the weak interaction.Courtesy Lawrence Berkeley Laboratory, University of CaliforniaFigure 30.8 This drawing representstracks of many events obtainedby analyzing a bubble-chamber photograph.The strange particles 0and K 0 are formed (at the bottom)as the interacts with a protonaccording to the interaction. (Note thatthe neutral particles leave no tracks,as is indicated by the dashed lines.)The 0 and K 0 then decay accordingto the interactions 0 : p andK 0 : . p : 0 K 0 Conservation of strangenessnumber
992 Chapter 30 Nuclear Energy and Elementary ParticlesApplying <strong>Physics</strong> 30.2A student claims to have observed a decay of an electroninto two neutrinos traveling in opposite directions.What conservation laws would be violated bythis decay?Explanation Several conservation laws are violated.Conservation of electric charge is violated because thenegative charge of the electron has disappeared.Conservation of electron lepton number is alsoviolated, because there is one lepton before the decayand two afterward. If both neutrinos were electronneutrinos,electron lepton number conservationBreaking Conservation Lawswould be violated in the final state. However, if one of theproduct neutrinos were other than an electron-neutrino,then another lepton conservation law would be violated,because there were no other leptons in the initial state.Other conservation laws are obeyed by this decay.Energy can be conserved—the rest energy of the electronappears as the kinetic energy (and possibly somesmall rest energy) of the neutrinos. The oppositedirections of the velocities of the two neutrinos allowfor the conservation of momentum. Conservation ofbaryon number and conservation of other leptonnumbers are also upheld in this decay.EXAMPLE 30.6 Is Strangeness Conserved?Goal Apply conservation of strangeness to determine whether a process can occur.ProblemStrategyDetermine whether the following reactions can occur on the basis of conservation of strangeness: 0 n : K p : Count strangeness on each side of a given process. If strangeness is conserved, the reaction is possible.(1)(2)SolutionIn the first process, the neutral pion and neutron both have strangeness of zero, so S initial 0 0 0. Because thestrangeness of the K is S 1, and the strangeness of the is S 1, the total strangeness of the final state isS final 1 1 0. Strangeness is conserved and the reaction is allowed.In the second process, the initial state has strangeness S initial 0 0 0, but the final state has strangenessS final 0 (1) 1. Strangeness is not conserved and the reaction isn’t allowed.Exercise 30.6Does the reactionp : K 0 0 obey the law of conservation of strangeness? Show why or why not.AnswerYes. (Show this by computing the strangeness on both sides.)30.11 THE EIGHTFOLD WAYQuantities such as spin, baryon number, lepton number, and strangeness are labelswe associate with particles. Many classification schemes that group particlesinto families based on such labels have been proposed. First, consider the firsteight baryons listed in Table 30.2, all having a spin of 1/2. The family consists ofthe proton, the neutron, and six other particles. If we plot their strangeness versustheir charge using a sloping coordinate system, as in Figure 30.9a, a fascinatingpattern emerges: six of the baryons form a hexagon, and the remaining two are atthe hexagon’s center. (Particles with spin quantum number 1/2 or 3/2 are calledfermions.)Now consider the family of mesons listed in Table 30.2 with spins of zero. (Particleswith spin quantum number 0 or 1 are called bosons.) If we count both particlesand antiparticles, there are nine such mesons. Figure 30.9b is a plot ofstrangeness versus charge for this family. Again, a fascinating hexagonal patternemerges. In this case, the particles on the perimeter of the hexagon lie oppositetheir antiparticles, and the remaining three (which form their own antiparticles)
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Current, 568-573, 586direction of,
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South poleEarth’s geographic, 626
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PHYSICAL CONSTANTSQuantity Symbol V