-
3
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-
84927875723
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R. H. Dalitz, in Proceedings of the Oxford Conference on Elementary Particles, 1965, edited by R. G. Moorhouse et al. (Rutherford Laboratory, Chilton, 1966), p. 157;
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-
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5
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84927875722
-
-
M. Teper, in Proceedings of HEP83, International Europhysics Conference on High Energy Physics, Brighton, England, 1983, edited by J. Guy and C. Costain (Rutherford Laboratory, Chilton, 1983), p. 4; in Non-Perturbative Methods, proceedings of the Workshop, Montpellier, France, 1985, edited by S. Narison (World Scientific, Singapore, 1985); B. Berg, in New Perspectives in Quantum Field Theories, proceedings of the XVI GIFT International Seminar on Theoretical Physics, Jaca, Spain, 1985, edited by J. Abad and M. Asorey (World Scientific, Singapore, 1986).
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-
-
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11
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84927875721
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J. Bjorken, in Quantum Chromodynamics, proceedings of the SLAC Summer Institute on Particle Physics, 1979, edited by A. Mosher (SLAC Report No. 224, 1979), p. 219.
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-
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12
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-
84927875720
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-
F. E. Close, in Experimental Meson Spectroscopy—1983, proceedings of the Seventh International Conference, Brookhaven National Laboratory, edited by S. J. Lindenbaum (AIP Conf. Proc. No. 113) (AIP, New York, 1984), p. 117; M. S. Chanowitz, in Multiparticle Dynamics 1983, proceedings of the International Symposium, Lake Tahoe, 1983, edited by J. F. Gunion and P. M. Yager (World Scientific, Singapore, 1984), p. 716.
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-
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14
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84927875719
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-
For general reviews of glueballs, hybrids, etc., see T. Barnes, in Proceedings of the Fourth Workshop on Polarized Target Materials and Techniques, Bad Honnef, Federal Republic of Germany, 1984, edited by W. Meyer (Bonn University, Bonn, 1984); J. F. Donoghue, in Hadron Spectroscopy—1985, proceedings of the International Conference, College Park, Maryland, edited by S. Oneda (AIP Conf. Proc. No. 132) (AIP, New York, 1985), p. 460.
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-
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16
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84927875718
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J. D. Richman, in QCD And Beyond, proceedings of the XXth Rencontre de Moriond, edited by J. Tran Thanh Van (Editions Frontie`res, Gif-sur-Yvette, 1985), p. 471. For a review, see D. Hitlin, in Proceedings of the International Symposium on Lepton and Photon Interactions at High Energies, Ithaca, New York, 1983, edited by D. G. Cassel and D. L. Kreinick (Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, NY, 1983), p. 746.
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18
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84927875717
-
-
see also D. Hitlin, in Proceedings of the International Symposium on Lepton and Photon Interactions at High Energies (Ref. 7).
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-
19
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-
84927875716
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-
For reviews, see S. Meshkov, in Proceedings of the XVIII Rencontre de Moriond: Electroweak Interactions (Leptonic Session), 1983, LaPlagne, France, edited by J. Tran Thanh Van (Editions Frontie`res, Gif-sur-Yvette, 1983), p. 427;
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-
-
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21
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-
84927875714
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J. F. Donoghue, in The Quark Structure of Matter, proceedings of the Advanced Study Institute, Whitehorse, Canada, 1984, edited by N. Isgur, G. Karl, and P. J. O'Donnell (World Scientific, Singapore, 1985), p. 145;
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-
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23
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-
84927875713
-
-
in Proceedings of 23rd International Conference on High Energy Physics, Berkeley, California, edited by S. Loken (World Scientific, Singapore, to be published).
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-
-
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25
-
-
84927871341
-
-
A more rational notation for mesons has recently been proposed and implemented in the latest PDG tables (Ref. 18). The changes impinge considerably on the states of present concern. Since this paper has to present a number of unfamiliar spectroscopic concepts we have adhered to the old notations to prevent readers having to grapple with two types of novelty at once. To reorient to the new terminology the reader should make the following substitutions: S(975)-> f0(975), iota(1440)-> eta(1440), delta(980)-> a0(980), theta(1690)-> f2(1720), epsilon(1300)-> f0(1300), f(1270)-> f2(1270). Our proposed I=0 scalar spectrum then comprises f0(991), f0sprime(988), f0(900), f0(1430).
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-
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30
-
-
84927871340
-
-
Robson (Ref. 3).
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32
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-
46149138111
-
A search for glueballs and a study of doouble pomeron exchange at the CERN intersecting storage rings
-
(1986)
Nuclear Physics B
, vol.264 B
, pp. 154
-
-
Åkesson, T.1
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38
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-
84927871339
-
-
For a general discussion see B. R. Martin, D. Morgan, and G. Shaw, Pion-Pion Interactions in Particle Physics (Academic, New York, 1976).
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46
-
-
84927871338
-
-
In the applications to follow, we need to apply Eq. (3.8) below some of the thresholds, specifically below KK¯ threshold for the two-channel ($π pi and KK¯) case that we actually consider. The necessary analytic continuations are straightforwardly (and standardly) accomplished by substituting i ρ2 by -| ρ2| in the explicit formulas for T11 and T12 [cf. Eq. (3.19)].
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-
-
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48
-
-
84927871337
-
-
see also G. Barton, Introduction to Dispersion Techniques in Field Theory (Benjamin, New York, 1965).
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50
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84927871336
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-
One can allow independent Adler zeros in K11,K12,K22, but this has very little effect on our fits.
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-
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52
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-
84927871335
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-
W. Ochs, University of Munich thesis, 1974.
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60
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-
0000626672
-
An amplitude analysis of the K+K− system produced in the reaction π−p→K+K−n at 10 GeV/c
-
(1980)
Nuclear Physics B
, vol.175 B
, pp. 402
-
-
Costa, G.1
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62
-
-
84927871334
-
-
See Figs. 8 and 9 of Ref. 37 for a useful compilation but beware of energy shifts.
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-
-
-
64
-
-
85025424322
-
A partial-wave analysis of the reaction π−p → K+K−n measured on a polarized target at ∼18 GeV/c
-
(1980)
Nuclear Physics B
, vol.174 B
, pp. 16
-
-
Görlich, L.1
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65
-
-
0009025834
-
Production of G(1590) and other mesons decaying into η pairs by 100 GeV/c π− on protons
-
(1986)
Nuclear Physics B
, vol.269 B
, pp. 485
-
-
Alde, D.1
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68
-
-
84927871333
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-
Chew and Chew (Ref. 11);
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-
-
-
71
-
-
84927871332
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-
P. C. Cecil, thesis, Cavendish Laboratory, Cambridge, 1984 (Rutherford Appleton Report No. RAL-T-004, 1984).
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-
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72
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-
20244362768
-
-
Such an extrapolation is natural from B6 phenomenology as discussed in
-
(1978)
Nucl. Phys.
, vol.137 B
, pp. 77
-
-
Pennington, M.R.1
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78
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-
84927871329
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-
In Ref. 16 we quoted results for the favored Etkin et al.. (Ref. 37) phase, φ12.
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-
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-
83
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-
84927871328
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-
Mark II Collaboration, T. M. Himel, SLAC Report No. 223, 1979 (unpublished).
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-
-
-
92
-
-
84927871327
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-
Mark III Collaboration preliminary results on ψ prime -> φ π pi, etc., U. Mallih, in Strong Interactions and Gauge Theories, proceedings of the Hadronic Session of the XXIth Rencontre de Moriond, edited by J. Tran Thanh Van (Editions Frontie`res, Gif-sur-Yvette, 1986), Vol 2, p. 431.
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-
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-
93
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-
84927871326
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-
DM2 preliminary results on ψ prime -> φ π pi, etc., presented at Moriond 1986 (cf. Ref. 63) by A. Falvard.
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-
-
94
-
-
84927871325
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-
The preliminary DM2 results presented at Moriond in 10-MeV bins appear to be shifted by some 10 MeV from those of our other π π , KK¯ channels and so have not been included in these tentative fits. By the time the final results on these $psi decays are available, we hope such problems will have been resolved.
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-
-
-
99
-
-
84927871322
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-
Z. Ajaltouni et al., contribution to 1985 Kyoto Lepton-Photon symposium cited by, edited by, M. Konuma, K. Takahashi, Research Institute for Fundamental Physics, Kyoto University, Kyoto
-
(1986)
Proceedings of the Twelfth International Symposium on Lepton and Photon Interactions at High Energies, Kyoto, Japan, 1985
, pp. 90
-
-
Kolanoski, H.1
-
103
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-
0009040090
-
-
For earlier discussion of objects like our ε prime(1430), see especially, and Ochs (Ref. 30);
-
(1974)
Nucl. Phys.
, vol.64 B
, pp. 134
-
-
Hyams, B.1
-
106
-
-
84927871321
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-
Irving et al. (Ref. 83);
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-
-
-
107
-
-
84927871320
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-
for further references, see Ref. 18 (p. 194).
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-
-
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108
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-
84927871319
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-
References to the points displayed may be found in Ref. 18, p. 184.
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-
-
-
109
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-
84927871318
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-
Alston-Garnjost et al. (Ref. 42);
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-
-
-
111
-
-
84927871317
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-
G. Grayer et al.., pi-pi Scattering—1973, proceedings of the International Conference, Tallahassee, edited by P. K. Williams and V. Hagopian (AIP Conf. Proc. No. 13) (AIP, New York, 1973), p. 117.
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-
112
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-
84927871316
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-
Flatte et al. (Ref. 77);
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-
-
118
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84927871315
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-
We emphasize that all through this part of our discussion it is the number of T-matrix poles (required to describe the Sstar region) that is in question. This is not to be confused with alternative K-pole forms that we have experimented with for fitting.
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-
-
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120
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-
84927871314
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-
See Ref. 18, p. 235.
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-
-
-
122
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-
84927871313
-
-
Note that for determining where a specified function has zeros these alternatives are completely on a par; we could reparametrize just as naturally in terms of 1/ lambda.
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-
-
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123
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-
84927871312
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-
The symbols S,V,K,S prime refer to the internal structure.
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-
-
-
124
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-
84927871311
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-
We coin this phrase to extend the concept of quark-model states to include systems with constituent gluons. A perfect illustration is afforded by the low-lying states of the bag model.
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-
-
-
126
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0009005561
-
Observation of three 2++ resonances in the glueball-enhanced channel π-p → φφn
-
(1985)
Physics Letters B
, vol.165 B
, pp. 217
-
-
Etkin, A.1
-
128
-
-
84927871310
-
-
Quite an illuminating exercise is to perform an extrapolation of the phase-space factors such as previously described but with both ρ1 and ρ2 rescaled, say by a factor λ12. For λ12-> 0, B and C link to the K-matrix pole, while, for λ12-> inf, C and A associate to the M-matrix pole.
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-
-
129
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84927871309
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-
The concept of a ``molecular'' resonance has recently been popularized by the authors of Refs. 100 and 101.
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-
-
-
130
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-
84927871308
-
-
The deuteron is in the same sense a molecular bound state so the phenomenon certaintly does occur.
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-
-
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132
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84927871307
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-
See Ref. 19, p. 237ff; see also Ref. 87.
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-
-
-
133
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84927871306
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-
The original theorem [, ] concerns a system described by a Schrödinger equation. In particle physics, the essential result is that, barring coincidences, [ δ (E)]thresholdinf= π (nc-nB) with nc the number of CDD poles and nB the number of bound states (cf. Ref. 19).
-
(1949)
N. Levinson, K. Dan. Vidensk. Selsk. Mat. Fys. Medd.
, vol.25
, pp. 3
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-
-
134
-
-
84927871305
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-
In general, we would expect ``normal'' resonances to possess image poles. Thus, if T vec =( M vec - i ρ vec )-1 has a pole on sheet II, arising from variations of the M vec elements, switching the sign, say, of ρ2 should produce an image pole not much displaced in E.
-
-
-
-
139
-
-
84927871304
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-
Further elucidation of the I=1 delta(980) system is a high priority for sorting out the scalars (cf. Cahn and Landshoff, Ref. 103).
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-
-
-
151
-
-
84927871303
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-
cf. also Ref. 2.
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