---

Prog. Theor. Phys. Vol. 52 No. 2 (1974) pp. 618-635

All-Angle Behavior of Two-Body Scattering and Urbaryon Rearrangement

Yuji Igarashi, Takeo Matsuoka and Shoji Sawada

Department of Physics, Nagoya University, Nagoya

(Received February 18, 1974)

Abstract:

From the viewpoint of urbaryon rearrangement, the scattering amplitudes, which represent two-body reactions for overall angle, are proposed. The overall amplitudes specified by the basic number of rearranged urbaryons in s-, t- and u-channels have Regge-like behavior in small momentum transfer region and the simple scaling form in large momentum transfer region. The proposed amplitudes are compared with experiments for pp, \overlinepp and K^±p elastic scattering and reproduce fairly well the gross features of their all-angle differential cross sections. It is also discussed that independent particle picture gives understanding of the scaling behavior of the proposed amplitudes in large momentum transfer region.

URL : http://ptp.ipap.jp/link?PTP/52/618/
DOI : 10.1143/PTP.52.618

[ Full Text PDF : FREE ACCESS (1510K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. M. Imachi, T. Matsuoka, K. Ninomiya and S. Sawada, Prog. Theor. Phys. 38 (1967), 1198[PTP]; ibid. 40 (1968), 353[PTP].
   T. Matsuoka, K. Ninomiya and S. Sawada, Prog. Theor. Phys. 41 (1969), 572[PTP]; ibid. 41 (1969), 1533[PTP]; ibid. 42 (1969), 56[PTP].
   M. Imachi, T. Matsuoka, K. Ninomiya and S. Sawada, Prog. Theor. Phys. Suppl. No. 48 (1971), 101[PTP].
2. M. Imachi, S. Otsuki and F. Toyoda, Prog. Theor. Phys. 43 (1970), 1105[PTP].
   M. Imachi, T. Oroguchi, S. Otsuki and F. Toyoda, Prog. Theor. Phys. 44 (1970), 1110[PTP]; ibid. 45 (1971), 1849[PTP].
   K. Ghoroku, M. Imachi, S. Otsuki and F. Toyoda, Prog. Theor. Phys. 47 (1972), 1958[PTP]; ibid. 48 (1972), 210[PTP].
   M. Imachi, Prog. Theor. Phys. 47 (1972), 1445[PTP].
3. D. R. O. Morrison, Phys. Rev. 165 (1968), 1699[APS].
4. A. Kobayashi, T. Matsuoka, K. Ninomiya and S. Sawada, Prog. Theor. Phys. 45 (1971), 403[PTP].
5. T. Matsuoka, Prog. Theor. Phys. 47 (1972), 1643[PTP].
   K. Kinoshita and H. Noda, Proceedings of the International Symposium on High Energy Physics, Tokyo (July, 1973), 403; Prog. Theor. Phys. 50 (1973), 1357[PTP].
6. P. V. Landshoff and J. C. Polkinghorne, Phys. Rev. D 8 (1973), 927[APS]; Phys. Lett. B 44 (1973), 293[CrossRef].
   J. M. Cornwall and D. J. Levy, Phys. Rev. D 3 (1971), 712[APS].
   D. Horn and M. Moshe, Nucl. Phys. B 48 (1972), 557[CrossRef].
7. J. F. Gunion, S. J. Brodsky and R. Blankenbecler, Phys. Lett. B 39 (1972), 649[CrossRef]; Phys. Rev. D 8 (1973), 287[APS].
8. V. A. Matveev, R. M. Muradyan and A. N. Tavkhelidze, Lett. Nuovo Cim. 7 (1973), 719.
   S. J. Brodsky and G. R. Phys. Rev. Lett. 31 (1973), 1153[APS].
9. J. V. Allaby et al., Phys. Lett. B 25 (1967), 156[CrossRef]; ibid. 28 (1968), 67[CrossRef].
10. V. Chabaud et al., Phys. Lett. B 38 (1972), 449[CrossRef].
11. T. Matsuoka and S. Sawada, Prog. Theor. Phys. 49 (1973), 562[PTP]; ibid. 52 (1974), 184[PTP].
12. V. Chabaud et al., Phys. Lett. B 38 (1972), 445[CrossRef].
    G. Baglin et al., Phys. Lett. B 47 (1973), 89[CrossRef].
13. T. Takabayasi, Phys. Rev. 139 (1965), B1381[APS].
14. A. Kakuto, Prog. Theor. Phys. 52 (1974), 240[PTP].
15. Y. Igarashi, T. Matsuoka and S. Sawada, Prog. Theor. Phys. 52 (1974), 986[PTP].
16. Y. Igarashi, T. Matsuoka and S. Sawada, Prog. Theor. Phys. 51 (1974), 1822[PTP].
17. K. Kinoshita, Prog. Theor. Phys. 51 (1974), 1989[PTP].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 986-999 :

   All-Angle Features of Urbaryon Rearrangement Amplitudes and Two-Step Structure of Constructive Forces

   Yuji Igarashi, Takeo Matsuoka and Shoji Sawada

2. Progress of Theoretical Physics Vol. 52 No. 5 (1974) pp. 1622-1639 :

   Whole-Region Formula for Single-Particle Distributions and Two-Body Reactions at All Angles

   Kisei Kinoshita and Hujio Noda

3. Progress of Theoretical Physics Vol. 53 No. 1 (1975) pp. 185-199 :

   Scaling Behaviour of Hadron Interactions and Urbaryon Bond Model

   Hujio Noda and Kisei Kinoshita

4. Progress of Theoretical Physics Vol. 53 No. 4 (1975) pp. 1072-1087 :

   Multi-Body Hadronic Reactions and Urbaryon Model

   Kayoko Awaya and Shoji Sawada

5. Progress of Theoretical Physics Vol. 53 No. 5 (1975) pp. 1431-1445 :

   All-Angle Structure of Nucleon-Nucleon Scattering Amplitudes

   Yuji Igarashi and Tadashi Nishitani

6. Progress of Theoretical Physics Vol. 53 No. 5 (1975) pp. 1530-1531 :

   φ-Meson Production and Independent Urbaryon Model

   Fumihiko Toyoda

7. Progress of Theoretical Physics Vol. 53 No. 6 (1975) pp. 1829-1831 :

   Large Momentum Transfers and One-Dimensional Structure of Hadrons in Composite Model

   Fumihiko Nakamura

8. Progress of Theoretical Physics Vol. 55 No. 1 (1976) pp. 211-228 :

   Whole-Region Description of Inclusive Spectra and Composite Structure of Hadrons

   Kisei Kinoshita, Yukio Kinoshita and Yasuo Myozyo

9. Progress of Theoretical Physics Vol. 55 No. 4 (1976) pp. 1211-1223 :

   Hadron Structure with String-Junction and Large Momentum Transfer Phenomena

   Masahiro Imachi, Shoichiro Otsuki and Fumihiko Toyoda

10. Progress of Theoretical Physics Vol. 55 No. 4 (1976) pp. 1224-1234 :

    Mandelstam Representation and Large Angle Scattering

    Tsuneo Uematsu

11. Progress of Theoretical Physics Vol. 56 No. 1 (1976) pp. 336-338 :

    Fixed-Angle Scaling Form in Large Momentum Transfer Scattering

    Takeo Matsuoka

12. Progress of Theoretical Physics Vol. 56 No. 2 (1976) pp. 673-674 :

    Two-Jet Production Cross Section at Large p_T and Urbaryon Model

    Yuji Igarashi

13. Progress of Theoretical Physics Vol. 56 No. 4 (1976) pp. 1245-1257 :

    Composite Structure of Hadrons and One-Particle Distribution Function

    Hujio Noda

14. Progress of Theoretical Physics Vol. 56 No. 5 (1976) pp. 1560-1569 :

    Structure of Symmetry Breaking in Hadronic Reactions

    Takeo Matsuoka and Tadashi Nishitani

15. Progress of Theoretical Physics Vol. 56 No. 5 (1976) pp. 1657-1659 :

    Large Momentum Transfer Behavior in Two-Body Scattering and One-Dimensional Structure of Hadrons in Urbaryon Model

    Fumihiko Nakamura

16. Progress of Theoretical Physics Vol. 57 No. 1 (1977) pp. 200-209 :

    Large Transverse Momentum Processes and a Hard Scattering Model of Urbaryons with Two-Jet Structure

    Yuji Igarashi

17. Progress of Theoretical Physics Vol. 57 No. 2 (1977) pp. 470-482 :

    All Angle Model for Two-Body Reactions

    Masaaki Kawaguchi and Hiroyuki Yokomi

18. Progress of Theoretical Physics Vol. 57 No. 2 (1977) pp. 499-516 :

    Large p_T Hadron Production and Urbaryon Rearrangement Model

    Yuji Igarashi, Takeo Matsuoka and Shoji Sawada

19. Progress of Theoretical Physics Vol. 57 No. 3 (1977) pp. 953-967 :

    Transverse Momentum in the Multiple Production Processes and Urbaryon Rearrangement Model

    Yuji Igarashi, Takeo Matsuoka and Shoji Sawada

20. Progress of Theoretical Physics Vol. 60 No. 2 (1978) pp. 474-488 :

    Large p_T Jets and Correlating Quark Rearrangement Model

    Takeo Matsuoka

21. Progress of Theoretical Physics Vol. 61 No. 1 (1979) pp. 176-190 :

    Scaling Features in Hard Reactions and Correlating Quark Rearrangement Model

    Takeo Matsuoka

22. Progress of Theoretical Physics Vol. 61 No. 3 (1979) pp. 914-927 :

    Large p_T Jet Production and Hard Rearrangement of Quarks

    Takeo Matsuoka and Masahiro Nakamura

23. Progress of Theoretical Physics Vol. 63 No. 5 (1980) pp. 1723-1737 :

    Electroproduction of a Meson and Correlating Quark Rearrangement Model

    Kazuyoshi Izawa

24. Progress of Theoretical Physics Supplement No.63 (1978) pp. 49-279 :

    Constituent Rearrangement Model and Hadron Reactions

    Yuji Igarashi, Masahiro Imachi, Takeo Matsuoka, Kansuke Ninomiya, Shoichiro Otsuki, Shoji Sawada and Fumihiko Toyoda

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.