Over 2500 photographs were taken of this proc ess, of which only 800 showed th e neutralpion necessary to conserve momentum if a resonance were to be formed . By computingthe effective mass of thelt'Tr-Ti° resonance by means of high-speed digital computer sthe rerearchers were able to show that in 93 cases a tri-pion resonance, which the ynamed ca had been formed . By momentum-analysis of decay products, the rs mass wa sfixed as 790 ieV . The ca was found to be a singlet with zero isospin .in the formation reactio nr -- d —gyp + p + Tr'+ Tr + TT °the Gross-section - energy graph was found to have two p eaks: a large one with aneffective mass of 790 I•ieV and a bandwidth of about 13 i :eV, and a smaller one with aneffective mass of 550 Ba y and a bandwidth of 2 .6 KeV. The particle represented by th esmaller peak was another singlet, which was named then) . Three of the four possibl edecays of this particle include two or more photons, and it has a long lifetime, s owe conclude that it is not a resonance in the true sense of the word, but decaysvia th eelectromagnetic interaction and is hence meta-stable . As the rl decay has only S= 0<strong>particles</strong> in it, it is possible to establish a G-parity for this particle, and it isfound to be-el, since there are three pions in its pions-only decay modes .Let us now consider the ex;o:imental methods used in finding mesic resonances .Apart from the bubble chamber method, as used in the search for the 1 meson, thereexists also a piece of apparatus known as a missing; mass spectrometer . The principl eof this is that a beam cf, for example n's with a well-defined momentum hits a liqui dhydrogen target producing the reactionTr ----4. P X,where 1 - represents a whole group of <strong>particles</strong> produced, whose not charge is -1 .The vector momentum of the recoil proton is than measured and the mass of the resonanc eparticle corrr ponding to h , if such a particle exists, is given b ym Z. _ ( C+ - Er, - (P„_ - Pr ,If no resonance exists, tries: the recoil proton will have a continuous range of energies ,and will not be monoenergetic . The first operational missing-mass spectrometer wa ssot up in 1968 by Kionale at Geneva . Behind the hydrogen target, in lino withthe primary beam of negative pions were two wire chambers, and behind these, therewas a matrix of counters . At an ajustable angle to the target, there were a series o fabout ton sonic spark chambers, which made up a proton telescop e. The whole. piece ofe-,uipment, including the target, was on a turntable, so that the target could pr esentitself to the beam at different angles . Kuch useful work has been done using the C12115 (Misting-' . o Spectrometer) . A slight improvement or the 10.13 is the CBi6ii Boso nSpectrometer (CBS). This can study different en°rgy~ regions from th- i' iS• It analyse sthe momenta of recoil electrons emerging near 0 using a wide-gap magnot and two pair sof wire spark chan gers . Toe whole a .pparat.s can be revolved about the main magnet inorder to study different ;pass regions. The great usefulness of the ills and CBS i stheir extreme speed, so that 100 000 readings can be taken to a very high accuracy i na matter of a few months .We will not discuss the discoveries of the hundreds of mesic resonances nowdiscovered in great detail, but we will consider a few interesting examples . In 196 5the first composite mesic resonance was found . It was named the Buddha, B, and had amass of around 1215 11eV . Its dominant decay mode was the two-stage proces sB —a w co .Another composite resonance, the C° particle, with decayC°( 14 22) --t°K°--*n'n-K
was discovered in the course of the next year .In 1965, using the CERN ZHS and bubble chambers, the Az(1320) meson was found .Its dominant decay modes were found to b eAt --°K7 K o ,—> K r. ~ ,Az —.,1TAll the data was consistent with 1=1 and G=-I . The X ; K° decay mode requires a J P of0°, 2+, . . ., and the Tf e decay forbids J P = C '' , so that the next lowest possibl eassignment is 2 ' . The angular distribution of decay products also favours J' = 2 +.However, late in 1965 collaboration at CERN revealed that the peak corresponding t othe A; was in fact 'split' . The lower peak (At) was at about 1289 NeV and the highe rone (A ;) at 1309 ;SeV . But in 1970, experiments at Berkeley showed no such splittin gof the Al peat . In 1971, using the CERN CBS Kienzle et al . again examined Fy' sproduced in the reactio n+P P + ~ ,and again found splitting for <strong>particles</strong> with all three decay modes . However, Barbaro-Galtieri et al . have also investigated At masons while working at Berkeley, and hav efound no splitting in A;'s produced by the reactio ni P --~ P + al,and decaying by all three decay modes . Neutral A x 's produced at CERN by Zichichi et al .in the reactionrt+P -3 n + Aihave also been found to be split and to have a fine structure very similar to tha tof the A1 . SU(3) symmetry' (see chapter 6) postulates that if the Az meson is split ,then other masons with J P = 2 * should also be split . These other resonances, K "` (1422) ,f(1264), and f'(1514), were investigated by Platt . at Berkeley in 1969 . He found aslight dip in the centres of their peaks, but rigorous statistical computer analysi sfavoured single peaks and no splitting . There appear to be three possible explanations ,according to current ideas, for the A z splitting . Dalitz proposes that there exis ttwo resonances with around the same mass, the same bandwidth (^22 N'V), and possibl yeven the same JP . He use ;; the example of the oscillations of the CO,. molecule as aprecedent from another branch of <strong>physics</strong> . The second possibility is that it is a newtype of 'dipole' resonance, with a more generalised Breit-'.signer foneula than for thenormal monopoles, but whose physical significance is not yet understood . Thirdly th eeffect could be due to a broad A 2 resonance with another destructively interferin gnarrow resonance exactly at its centre . In 1971, the R resonance was discovered i nthe CBS and was found to be a triple peak with mass°s of 1632, 1700, and 1748 NeV .However, the g meson, with mass — 1700 AtV, J- 3(?), and deca yg --o!7T -+ TT ehas lately been found in bubble chamber experiments at CERN and may correspond tosome part of the N complex .The question of the precise nature and status of the resonance particle now arises .There seems to be no way of knowing whether, for example, the LZl238) is a singl eentity which, after the short time of 10 -21, decatit into a N t and a or whether th enucleon and pion simply interact very briefly with each other, for example, by th estrong nuclear force or by whirling around each other, and than return to thei roriginal courses . It is possible that when times of only 1 0-'3 s are involved, then th edistinction between these two possibilities becomes meaningless . An interesting ide awas suggested by Bruecker at Indiana University in about 1963, He noticed that, as in
- Page 1 and 2: ~~N ."$ II itOL'it At .AQo
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- Page 29 and 30: about 9 .5 x 10-u s . A few years l
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- Page 53 and 54: CHAPTER SIX : SYMMETRY AND STRUCTUR
- 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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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