was 285 MeV . In fact, due to Fermi motion in the target, a beam of only about 180 MeVneeds to be directed at a stationary target to produce pions . In 1948 the firs tartificial pions were obtained by M .Cardner and J .Lattes using the new 184" cyclotronat Berkeley . The momenta of the resultant pions, muons, and protons were analysedin a magnetic field, and their range was measured using a stack of nuclear emulsions .The charged pion was found to have a mass of about 139 .6 MeV, and the muon of abou t105 .6 MeV . The muon mass was then found even more precisely by measurement of th efrequencies of x-rays produced by muonic atoms, and this yielded a mass of about105 .66 MeV for the muon .It was found that the energy of the muon produced in pion decay was always 4 .1 MeV ,indicating that there was only one other particle involved in the decay. Accordingto the law of charge conservation, this particle must have a neutral charge, and ,knowing the mass of the pion, it was estimated to have zero mass . There are only two<strong>particles</strong> which have zero mass known at present : the photon and the neutrino (se echapter 4) . If the particle were a photon, it should have been able to produc evirtual electron-positron pairs, but O'Cealleigh showed in 1950 that it did not, andso the particle was inferred to be a neutrino . The lifetime of the charged pion wa sestimated by stopping a pion in a scintillator, and then measuring the time until theflash from the decay muon was observed . This yielded a value of 2 .56 x lU s s . By asimilar method, the lifetime of the muon was found to be about 2 .203 x l0 6 s . Theelectron in muon decay was found to have a whole range of kinetic energies, and so i twas inferred that at least two other <strong>particles</strong> must take part in the decay, and mus tboth be massless . Conservation laws indicate that these two <strong>particles</strong> must be a muneutrinoand an anti-s-neutrino .But the charge independence of the force also demanded a neutral pion . It wasconsistent with the conservation laws for this particle to decay into two gamma rays ,thus indicating a short lifetime in the order of 10 ''s . In 1949 various physicistssuggested that neutral pions might be responsible for the soft component of cosmi cradiation . In 1950 Bjorkland, Crandell, Moyer, and York showed that it was impossibl eto attribute the gamma rays in cosmic radiation to any form of nuclear excitation .In the same year Carlson, Hooper, and king measured the angles and energies of photon sdetected in emulsions at a height of 2.1 km, and found these to be consistent withproduction from a neutral pion of mass about 150 MeT . Their experiments also put th eupper limit of 5 x 1T'4 s on the lifetime of the neutral pion . It was thought best t ofind the more accurate mass of the z ° by finding the mass difference between itselfand then By considering the reactions n~p s n,T and n"p ---b n y , the mas sdifference mn-- m,,t .was found to be about 5 .4 MeV . The first accurate measurements of'n° lifetime were made by studying the decay 'n°--> y e* e; and measuring distances ina track-forming detector . However, the extreme smallness of the times concerned meantthat this method was not very accurate . The best estimate to date for the n° lifetimewas obtained in 1965 by Bellettini et al., making use of the Primakoff effect . Thi sis the photoproduction of a r‘' by the encounter of a gamma ray with a virtual gamm aray in the Coulomb field of a nucleus, which should take the same time as the decayof a Il e into two gamma rays . Using this method, the best estimate obtained for thert° lifetime was 7 .3 x 10`" s .
CHAPTER FOUR : THE 'PROLIFERATION OF PARTICLES' .In 1944,Leprince-Ringuet's team obtained tracks, in a cloud chamber at mountainaltitude, of a particle not corresponding to any then known . The primary cosmic rayparticle produced a high-energy delta ray or recoil electron in the chamber, and fro mmeasurements of the latter's energy, it was inferred that the initial particle had amass of around 500 MeV, but no significance was attached to the event . In 1947 ,Rochester and Butler at Manchester University built a new type of detector consistin gof a cloud chamber placed in a magnetic field and triggered by a set of Geiger cotaterswhen these detected cosmic ray showers . In the course of a year, about fifty photographswere obtained using this equipment, two of which showed a new type of particl ewhich was named the 'V particle' . In these photographs there was a 'V'-shaped trac kwhich could have been caused by any of the following events : first, a particle couldhave been scattered through a very wide angle by an atomic nucleus, but if this ha dhap p ened, one would expect to find the recoil track of the nucleus, and no track o fthis type could be discerned . Furthermore, the radii of curvature and drop densitie sof the two sides of the 'V' track were measured and found to be different, thus makingthis hypothesis untenable . The second possibility was that the 'V' was caused by th edecay of a charged particle at its apex, but various measurements showed this theoryto be incorrect . The third hypothesis, which was found to be completely consisten twith . ali the data was that a neutral particle produced by the interaction of a cosmi cray particle with the 30 mm thick lead plate inside the chamber had decayed into tw ooppositely-charged <strong>particles</strong> which had left a 'V' track . Further tracks were found bythe Manchester cosmic ray group in England and by 8 .Thompson's group in America ove rthe next few years, and it was confirmed. that the 'V' tracks were produced by th edecay of a neutral particle into two, and only two, <strong>particles</strong> . At this time muchuseful work was being done with stacks of nuclear emulsion flown to high altitudes ,and a few '7' tracks were detected in these .A number of tracks in nuclear emulsions were found to be produced by particle swith a mass of around 1200 MeV which decayed into one charged and one uncharge dparticle, and thus must have been themselves charged . The new <strong>particles</strong> were namedsigma <strong>particles</strong>, and their dominant decay modes weref ' ---s pea 'E'' —a nn "2E - --e. rot " .By range measurements of both the primary sigma <strong>particles</strong> and their decay products ,the mass of the Z' was found to be 1189 .35 MeV and that of the 2 to be 1197 .6 EeV .By this time, the high-energy particle accelerator at Brookhaven was in operation ,and so it was possible to produce hyperons or supernucleons, as the 'V partic l es 'came to be ce)'ed, artificially, using the right targets . By studying the distributionof track lengths before decay in nuclear emulsion, the lifetimes of the Z, and the Z twere found to be 8 .10 x 10-" s and 1 .65 x 10-'°s . It is now thought that the reason wh ythe lifetime of the L+is precisely twice that of the 2 - is because the former ha stwice as many possible decay modes as the latter . But the 'Eightfold Way' of ell-Mannand Nishijima (see chapter 6) predicted that there should also exist a r•° particle ,which would decay into a lambda particle and a photon in about 1 0-4'e . The first mas sdetermination for the L° was made by measuring the missing momentum in the reaction
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- Page 49 and 50: where s and t are the riandelstam v
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- Page 55 and 56: is 1 .3 x 10 s . The leaders o; is,
- Page 57 and 58: called 'parallelogram rule' of Matt
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should expect some asymmetry in the
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p where L is the orbital momentum o
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about 70°' of the ne utrons . Afte
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We consider an isolated system of n
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on their spins . We find that if we
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device : scalers, which record the
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In appearance, semiconductor partic
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Usually, photons passing through a
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during this short time, worthwhile
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CHAPTER NINE: THE ACCELERATION OF P
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1931 Sloan and Lawrence built a thi
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faster than light . instead, the ph
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employed for each function . In act
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and again by Budker and Veksler in
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BIBLIOGRAPHY .General works :The Ph
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Scalar : .esons may ihplain by the
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Name S J I I s U P GY ND ND 1 ND ND
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p5,55' 77 6570p 070601,.635 67.7355
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A .3 Quark combinations to fora sta
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s+ki # 13 .41M.V I9mo. dxry nvla)33
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k.1515e.pr rim
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° Prix.-.,a..u(14751 o IMfon.ly ca
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A .5 Conservation and invariance la
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F_AG Fixed field alternating gradie
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S Scalar gamma matrix product .S En
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Elastic cross—section .Inelastic
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C .3 Compound SI units used in this
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w oE >< k)- c; ev--o ;,o»,--.@r«-
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APPENDIX F : PHYSICAL CONSTANTS .(F