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Prog. Theor. Phys. Vol. 43 No. 6 (1970) pp. 1596-1612

[ Full Text PDF : FREE ACCESS (1161K) ]

Hadronic Matter

Takao Tati

Instituto Central de Física da Universidade de Campinas, São Paulo, Brasil

(Received November 29, 1969)

Abstract:

The hadronic phenomena are described by a basic field with a non-linear coupling. An essential assumption is the cutoff of momentum degree of freedom of the basic particle which refers to a universal vector. The ground state of hadronic matter is obtained by solving the Schrödinger equation under simplified conditions. It is a cloud of a number of basic particles and their anti-particles, and is considered to give a hadron core. The excited states of hadronic matter are inferred correspondence-theoretically by using a Fermi-gas model and by referring experimental facts. Hadron resonances and fireballs are considered to be different modes of excitation of hadronic matter. Our picture allows to have a quantum of some hundreds MeV for resonances and a H-quantum (constant-mass-fireball) of a few BeV. The three parameters reflecting our basic assumptions, the mass M, the coupling constnat l and the cut-off length Λ, are interrelated in the theory and only one parameter remains free without changing our picutre. Owing to the cutoff referring to the universal vector, the Lorentz factor γ= (1 - β2)-1/2 of hadronic matter cannot exceed a certain value γmax, if we take a straight cutoff. For Λ= 10-15cm and Λ= 10-16cm, γmax turns out to be 3 ·105 and 3 ·109, respectively. Though the cutoff may have a tail, the production probability of a matter with γ> γmax is expected to be small and the existence of a `giant' fireball seems probable.


URL : http://ptp.ipap.jp/link?PTP/43/1596/
DOI : 10.1143/PTP.43.1596

[ Full Text PDF : FREE ACCESS (1161K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 44 No. 4 (1970) pp. 1112-1114 :
    Level Structure of Hadrons
    Masayuki Nagasaki and Mituo Taketani
  2. Progress of Theoretical Physics Vol. 47 No. 5 (1972) pp. 1788-1790 :
    Hot Universe, Cosmic Rays of Ultrahigh Energy and Absolute Reference System
    Humitaka Sato and Takao Tati
  3. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 2107-2116 :
    Matter at Ultrahigh Densities
    Takao Tati
  4. Progress of Theoretical Physics Vol. 49 No. 1 (1973) pp. 368-370 :
    Excitation of Hadronic Matter and H-Quantum
    Masayuki Nagasaki and Mituo Taketani
  5. Progress of Theoretical Physics Vol. 51 No. 2 (1974) pp. 613-627 :
    On a Phenomenological Modification of Einstein's Gravitational Lagrangian
    Hidekazu Nariai
  6. Progress of Theoretical Physics Vol. 53 No. 4 (1975) pp. 1212-1213 :
    “Cantauro” Phenomenon and the Decay of UH-Quantum
    Mituo Taketani and Masayuki Nagasaki
  7. Progress of Theoretical Physics Vol. 53 No. 6 (1975) pp. 1788-1797 :
    Production Mechanisms of H-Quantum and Inclusive Two-Particle Correlations in the Central Region
    Mitsuru Hama, Haruo Suzuki and Sohkichi Suzuki
  8. Progress of Theoretical Physics Vol. 59 No. 2 (1978) pp. 646-652 :
    On the Degree of Freedom in Quantum Field Theory
    Takao Tati
  9. Progress of Theoretical Physics Supplement No.54 (1973) pp. 31-39 :
    Lorentz-Factors and Masses of Fireballs
    Takao Tati
  10. Progress of Theoretical Physics Supplement No.54 (1973) pp. 40-50 :
    The Theory of Finite Degree of Freedom and the Structure of Nucleons
    Takao Tati
  11. Progress of Theoretical Physics Supplement No.54 (1973) pp. 73-92 :
    Excitation of Hadronic Matter and H-quantum
    Masayuki Nagasaki and Mituo Taketani
  12. Progress of Theoretical Physics Supplement No.76 (1983) pp. 186-223 :
    The Theory of Finite Degree of Freedom
    Takao Tati
  13. Progress of Theoretical Physics Supplement No.76 (1983) pp. 224-242 :
    On Present-Day Problems in Theory of Elementary Particles
    Mituo Taketani

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