Summary
The problem of shrinking or antishrinking of the forward peak of elastic processes is studied within the framework of a weak-duality scheme. It is shown that, within such a scheme, the energy dependence of the slopes of the various elastic processes can be qualitatively understood. Thus, the result is in agreement with the experimental situation in the sense that K+p and pp shrink, K−p and\(\bar pp\) antishrink and π±p stay essentially constant.
Riassunto
Il problema della contrazione ed espansione del picco di diffrazione per processi elastici è studiato nell’ambito di uno schema di dualità debole. Si mostra che, entro tale schema, la dipendenza dall’energia delle pendenze dei vari processi elastici può essere spiegata qualitativamente. Pertanto, il risultato è in accordo con la situazione sperimentale nel senso che K+p e pp subiscono una contrazione, K−p e\(\bar pp\) si espandono e π±p restano essenzialmente constanti.
Реэюме
В рамках схемы слабой дуальности исследуется проблема сжатия и антисжатия пика в направлении вперед для упругих процессов. Покаэывается, что в рамках такой схемы знергетическая эависимость наклонов раэличных упругих процессов может быть общяснена качественно. Таким обраэом, полученный реэультат согласуется с зкспериментальной ситуацией в том смысле, что К+р и рр сжимаются, К−р и\(\bar pp\) р антисжимаются и π±р остаются, по сушеству, постоянными.
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References
Y. Hama andE. Predazzi:Lett. Nuovo Cimento,4, 447 (1970).
D. Lichtenberg, R. G. Newton andE. Predazzi:Ambiguities in the meaning of duality, Indiana preprint (1970), to be published in theProceedings of the Conference of Elementary Particles, Athens, O., June 1970.
See, for instance,G. E. Hite:Rev. Mod. Phys.,41, 669 (1969).
T. Lasinski, R. Levi Setti andE. Predazzi:Phys. Rev.,163, 1792 (1967).
R. Dolen, D. Horn andSchmid:Phys. Rev.,166, 1768 (1968).
C. Schmid:Phys. Rev. Lett.,20, 689 (1968).
P. G. Tomlinson, R. R. Crittenden, R. M. Heinz, D. B. Lichtenberg, E. Predazzi andR. A. Sidwell: Indiana University preprint (1970).
H. Harari:Phys. Rev. Lett.,22, 562 (1969);J. Rosner:Phys. Rev. Lett.,22, 689 (1969).
See, for instance,E. Predazzi:Lecture Notes at the XII Theoretical Summer Institute, Boulder, 1969, to be published.
P. G. O. Freund:Phys. Rev. Lett.,20, 235 (1968);H. Harari:Phys. Rev. Lett.,20, 1395 (1968).
In ref. (1) there is a misprint so that in the analogue of eq. (2.1) the signs ofR p andR A2 should be changed.
K. Igi:Phys. Rev. Lett.,9, 76 (1962).
T. Lasinski, R. Levi-Setti andE. Predazzi:Phys. Rev.,179, 1426 (1969).
T. Lasinski andR. Levi-Setti: private communication.
L. Marshall Libby andE. Predazzi:Lett. Nuovo Cimento,2, 881 (1970).
In K+p, for instance, the partial-wave analysis (17) at 1.5 GeV/c was performed retainingS, P, D waves. The result showed that absorption is especially pronounced inP 13 andD 15. Four different kinds of solutions were then given to the determination of the various partial wavesS 11,P 11,P 13,D 13 andD 15 as the result of a best fit. Of these four groups of solutions, only the group IV of ref. (17) leads to positive polarization. As the polarization is indeed positive (18), one tentatively accepts the conclusion that a solution of type IV is preferred. The peculiarity of this solution is thatS 11,P 11 andD 13 always correspond to a repulsive interaction, whereasP 13 andD 15 are strongly absorbed and, in general, still correspond to repulsion or to a very small attraction. In the case of pp there exists a large number of partial-wave analyses which show (19) that a solution with strong repulsion is consistent with the experimental data.
A. T. Lea, B. R. Martin andG. C. Oades:Phys. Rev.,165, 1770 (1968).
CERN-Holland Collaboration, S. Anderssonet al.:Phys. Lett.,25 B, 611 (1968).
See, for instance,Y. Hama:Progr. Theor. Phys.,35, 261 (1966). A review ofNN phase-shift analysis, including high-energy results, has been made byN. Hoshizaki:Progr. Theor. Phys. Suppl.,42, 1 (1968).
M. Jacob andG. C. Wick:Ann. of Phys.,7, 404 (1959).
D. Sharp andW. G. Wagner:Phys. Rev.,131, 2226 (1963).
Except, of course, for data in the extremely small-t region (23), which were measured in experiments especially designed for the determination of the Coulomb interference and which are, therefore, of rather little interest in the present case.
There are many data of this kind for pp and π±p. For instance,K. J. Foley, R. S. Jones, S. J. Lindenbaum, W. A. Love, S. Ozaki, E. D. Platner, C. A. Quarles andE. H. Willen:Phys. Rev. Lett.,19, 193 (1967);G. Belletini, G. Cocconi, A. N. Diddens, E. Lillethun, J. Pahl, J. P. Scanlon, J. J. Walters, A. M. Wetherell andP. Zanella:Phys. Lett.,14, 164 (1965). See also ref. (24).
For π±p, data have been used which are compiled inA compilation of pion-nucleon scattering data byG. Giacomelli, P. Pini andS. Stagni (CERN-HERA 69-1).
N. Masuda andS. Mikamo:Lett. Nuovo Cimento,2, 519 (1969).
K. J. Foley, S. J. Lindenbaum, W. A. Love, S. Ozaki, J. J. Russell andL. C. L. Yuan:Phys. Rev. Lett.,11, 425, 503 (1963);K. J. Foley, R. S. Gilmore, S. J. Lindenbaum, W. A. Love, S. Ozaki, E. H. Willen, R. Yamada andL. C. L. Yuan:Phys. Rev. Lett.,15, 45 (1965).
Aachen-Berlin-CERN-London-Vienna Collaboration:Phys. Lett.,24 B, 434 (1967).
A. N. Diddens, E. W. Jenkins, T. F. Kycia andD. F. Riley:Phys. Rev.,132, 2721 (1963);W. F. Baker, R. L. Cool, E. W. Jenkins, T. F. Kycia, R. H. Phillips andA. L. Read:Phys. Rev.,129, 2285 (1963);W. Galbraith, E. W. Jenkins, T. F. Kycia, B. A. Leontić, R. H. Phillips, A. L. Read andR. Rubinstein:Phys. Rev.,138, B 913 (1965).
IHEP-CERN Collaboration:Phys. Lett.,30 B, 500 (1969).
T. T. Chou andC. N. Yang:Phys. Rev.,188, 2469 (1969).
W. Galbraith, E. W. Jenkins, T. F. Kycia, B. A. Leontić, R. H. Phillips, A. L. Read andR. Rubinstein:Phys. Rev.,138, B 913 (1965);K. J. Foley, R. S. Jones, S. J. Lindenbaum, W. A. Love, S. Ozaki, E. D. Platner, C. A. Quarles andE. H. Willen:Phys. Rev. Lett.,19, 857 (1967);A. Ashmore, G. Cocconi, A. N. Diddens andA. M. Wetherell:Phys. Rev. Lett.,5, 576 (1960).
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Hama, Y., Predazzi, E. Weak duality and energy dependence of the slopes of elastic angular distributions. Nuov Cim A 2, 929–953 (1971). https://doi.org/10.1007/BF02826486
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DOI: https://doi.org/10.1007/BF02826486