The energy dependence of meson multiplicity in the high-energy interactions

Kaneko, S.; Okazaki, Moroe

doi:10.1007/bf02828765

Cited by 14 publications

(3 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This fact was already familiar to us as the Kaneko-Okazaki line, 25 ) and was confirmed by the recent report. 26 ) From this, one may infer that there exists a characteristic difference in the mechanism responsible for the high energy reactions above and below about 10 11 ev· At any rate, what we want to emphasize here for the purpose of the text is that the S vs E or n vs E relation should depend on the gross behaviour of the collision complex or the production mechanism of secondary particles even if one used the simple statistical model.…”

Section: (A·7)supporting

confidence: 75%

Dynamical Statistical Model of High Energy Elastic Scattering

Namiki¹,

Ohba²

1967

Prog. Theor. Phys.

View full text Add to dashboard Cite

High energy elastic scattering is discussed through a proposal of the " dynamical statistical model", in which large angle elastic scattering at high energies is considered to be caused by some sort of irreversible process taking place in the inner system of colliding nucleons. The " dynamical statistical model " enables us to get both the rapid decrease of the differential cross section for increasing energy and the small fluctuation of the scattering amplitude, for the large angle elastic scattering at high energies. After a few manipulations, it is shown that the present model can derive the differential cross section proportional to exp (-ap J) similar to Orear's empirical formula for large P.J, a and PJ. being, respectively, the Orear constant and the transverse momentum. The present model also gives the relationship between the exponential p J. -dependence for large p t and the Gaussian p _L -dependence for small p J. within a unified theoretical framework, from which follows a-1 ?:0.158 M, M being the nucleon mass. This is in good agreement with experiment.Furthermore it is remarked that the present model has the possibility of deriving, even for large p J., the Gaussian p _L -dependence like Krisch's empirical formula in some extreme cases, which may not be obtained by the simple statistical model given by Hagedorn and others and by the unitarity-analyticity argument.The irreversibility of the large angle scattering-to be realized even by the time-reversal invariant Hamiltonian-does not permit us to impose the time-reversal inveriance requirement and the simple unitarity-analyticity argument on the large angle scattering amplitude except on the forward amplitude. Its consequence may be used :for a crucial test o:f the model.The " dynamical statistical model " has been built on the basis o:f critical discussion against the simple statistical model. For this reason a detailed discussion o:f the latter is given.at Seton Hall on April 4, 2015 http://ptp.oxfordjournals.org/ Downloaded from *l Fujimoto, Iso and the present authors discussed the simple statistical model by similar thermodynamical calculations in an unpublished paper. There their emphasis was also put on the possible relation to the multiple particle production at very high energies.

show abstract

Section: (A·7)supporting

confidence: 75%

Dynamical Statistical Model of High Energy Elastic Scattering

Namiki¹,

Ohba²

1967

Prog. Theor. Phys.

View full text Add to dashboard Cite

show abstract

“…(2) Possible variation of h• and particle production spectra with increase in energy; studies such as those reported by Ishikawa and Maeda [1958] and Kaneko and Okazaki [1958] are signiticant here. (3) Variation of stopping power with energy at very high energy; detailed results such as those of George [1952] must be taken into account.…”

Section: No Direct Measurements Have Been Made Atmentioning

confidence: 91%

“…The result is api roeson differential energy spectrum at production with the same exponent (k) as that assumed for the primary spectrum. The factor A contains the multiplicity and energy partition proportionality parameters, which undoubtedly vary at least slowly with the incident energy [Ishikawa and Maeda, 1958;Kaneko and Okazaki, 1958] but here are tacitly held constant. It is assumed further that the forward direction of the producing particle is always maintained by the high-energy particles it generates.…”

Section: Introduction--recent Cosmic-ray Experimentsmentioning

confidence: 99%

Effects of pi meson decay-absorption phenomena on the high-energy mu meson zenithal variation near sea level

Smith¹,

Duller²

1959

J. Geophys. Res.

View full text Add to dashboard Cite

show abstract

Theory of Multiple Particle Production at Extremely High Energy

Koba

Takagi

1959

Fortschr. Phys.

View full text Add to dashboard Cite

PrefaceThe mechanism of multiple particle production a t ext.remely high energythis is undoubtedly one of the most challenging topics in contemporary nuclear physics. (By the word "extremely high" we mean here the energy region above lo3 Gev.) The problem remains still quite unsettled, though it has been intensively attacked both by experimental and theoretical workersl). Various theories and models have so far been proposed almost independently of each other and with little interrelation to each other; and we cannot tell for certain which of them, if any, reproduces the main aspects of the experiments. This situation is partly due to the incompetence of the current field theories a t this new domain of physics, and partly due to the lack of systematic knowledge on the characteristic features of the phenomena. l) Excellent review articles on this problem have been published by LEWIS [ I ] and by ROZENTAL' and CERNAVSKIJ [Z]. The latter, in particular, has given a systematic and detailed account of experimental and theoretical investigations, available at the time of its publication (1954). 1 Zeitschrift ,.Fortschritte der Physik"Z. KOBA and S. TAKAGI With the remarkable improvement of experimental techniques in recent years, available data have been and are being steadily accumulated, and rapid progress is expected also in the field of theoretical investigations. It would be sensible, therefore, for us to write a critical report on our present knowledge and understanding concerning this problem, in order to orientate ourselves for further development.I n Part I the empirical information on extremely high energy nuclear phenomena will be described, and in Part I1 a survey of some of the existing theories and models will be given. I n Part 111, more recent developments will be discussed, including the foundations and interrelations of various theories, models proposed recently, general reconsideration of theories and models, and the limit of applicability of the current field theories.A typical example at present would be something like the following: Giant stacks, containing 1 -10 1 emulsion (for instance, 200 plates of 30 cm x 40 cm X 0.6 mm) are flown up by a ballcon to an altitude of 20 -30 km and exposed during 6 -8 hours.Events of 5 lo5 Gev can be studied by such an experiment.The Texas project in 1958 is expected t o fly 200 1 emulsion (1,000 plates of 60 cmx 80 cm x 0.6 mm) and t o supply us with data of 5 lo6 Gev events. An ideal case, barely possible with the present technique, would be, according to~OCCON1, several days exposure of 1 m3 emulsion, which would catch lo7 Gev events [ 5 ] .There are also attempts to make the emulsion stack stilllarger at the sacrifice of altitude, by making use of airplanes or simply putting it on the top of a mountain. 1'1.3. Estimation of the primary energy 1.3.1. We make the assumption: The velocity of secondary relativistic particles, vi, (i = 1,2, . . ., n,) in the c. m. s.~), and the velocity of the c. m. s. to the 1. s .~) , vc, are very close t o each other, i. e., ...

show abstract

The energy dependence of meson multiplicity in the high-energy interactions

Cited by 14 publications

References 23 publications

Dynamical Statistical Model of High Energy Elastic Scattering

Dynamical Statistical Model of High Energy Elastic Scattering

Effects of pi meson decay-absorption phenomena on the high-energy mu meson zenithal variation near sea level

Theory of Multiple Particle Production at Extremely High Energy

Contact Info

Product

Resources

About