HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 45 (1971) > Number 6
| Next Article >

Prog. Theor. Phys. Vol. 45 No. 6 (1971) pp. 1849-1878

[ Full Text PDF : FREE ACCESS (1854K) ]

Hadron Reactions and Urbaryon Rearrangement. I

— Effective Resonance Structure —

Masahiro Imachi, Takashige Oroguchi, Shoichiro Otsuki and Fumihiko Toyoda*

Department of Physics, Kyushu University, Fukuoka
*The Second Department, Kinki University, Iizuka

(Received November 27, 1970)

Abstract:

By incorporating dynamical aspects of hadron reactions, which closely correspond to the pattern of the urbaryon rearrangement diagram (URD), P8-B8 reaction amplitude is constructed in the impact parameter representation. The main dynamical aspects are that the impact parameter to form observed resonances in P8-B8 reaction takes an almost universal value and that angular distributions have almost energy-independent dips (with the positions t0:t1:t2 and/or u0':u1':u2'≃1:4:9) in such processes that contain the H(s-t dual) and/or Z(s-u dual) type URD amplitudes. Then the interaction densities of these amplitudes are peaked at a constant value b0 of the impact parameter, which we call resonant interaction density. The constant b0 implies a bending effective resonance trajectory αeff\undersets≫1∼√s, and αeff coincides with leading trajectories when s is not large. On the contrary, the interaction density of the X(t-u dual) type URD amplitude has a simple Gaussian form. The s dependence of the interaction densities is described by s-rnR with γ∼0.5, where nR denotes the number of rearranged urbaryons. Quantitative fit of our amplitude to elastic π-N scattering in the forward hemi-sphere and qualitative fit to other P8-B8 reactions in the forward and the backward regions are given. The effective resonances in the URD amplitude and the s-rnR behaviour imply systematic correlations of resonances in the hadron level and may afford clues to the nature of the urbaryon. The interaction densities are related to hadron electromagnetic form factors.


URL : http://ptp.ipap.jp/link?PTP/45/1849/
DOI : 10.1143/PTP.45.1849

[ Full Text PDF : FREE ACCESS (1854K) ] Citation:

References:

  1. S. Sakata, Prog. Theor. Phys. 16 (1956), 686[PTP].
  2. S. Ogawa, Prog. Theor. Phys. 21 (1959), 209[PTP].
  3. S. Okubo, Phys. Lett. 5 (1963), 165[CrossRef].
    J. Iizuka, Prog. Theor. Phys. Suppl. Nos. 37 & 38 (1966), 21[PTP].
    J. Iizuka, K. Okada and O. Shito, Prog. Theor. Phys. 35 (1966), 1061[PTP].
  4. For the basic picture, see, Hoshizaki, Otsuki, Watari and Yonezawa, Prog. Theor. Phys. 27 (1962), 1199[PTP].
    Sawada, Ueda, Watari and Yonezawa, Prog. Theor. Phys. 28 (1962), 991[PTP].
  5. Y. Fujimoto, S. Machida and M. Namiki, Prog. Theor. Phys. Suppl. Extra Number (1965), 304[PTP].
    Imachi, Otsuki, Sakai and Yasuno, Prog. Theor. Phys. 36 (1966), 1023[PTP].
    M. Namiki and I. Ohta, Prog. Theor. Phys. 36 (1966), 568[PTP].
  6. M. Imachi and S. Sawada, Prog. Theor. Phys. 37 (1967), 759[PTP].
    Imachi, Matsuoka, Ninomiya and Sawada, Prog. Theor. Phys. 38 (1967), 1198[PTP]; ibid. 40 (1968), 353[PTP].
  7. T. Matsuoka, K. Ninomiya and S. Sawada, Prog. Theor. Phys. 41 (1969), 1533[PTP].
  8. K. Matumoto, Lett. Nuovo Cim. 1 (1969), 620.
    T. Matsuoka, K. Ninomiya and S. Sawada, Prog. Theor. Phys. 42 (1969), 56[PTP].
  9. M. Imachi, Prog. Theor. Phys. 43 (1970), 1021[PTP].
  10. M. Imachi, S. Otsuki and F. Toyoda, Prog. Theor. Phys. 43 (1970), 1105[PTP].
    Imachi, Oroguchi, Otsuki and Toyoda, Prog. Theor. Phys. 44 (1970), 1110[PTP].
  11. Imachi, Oroguchi, Otsuki and Toyoda, Prog. Theor. Phys. 43 (1970), 1119[PTP]; ibid. 44 (1970), 1107[PTP].
  12. Kobayashi, Matsuoka, Ninomiya and Sawada, Prog. Theor. Phys. 45 (1971), 403[PTP].
  13. M. Gell-Mann, Phys. Lett. 8 (1964), 214[CrossRef].
    G. Zweig, CERN preprint (1968).
    Our results are essentially the same when the two-triplet [H. Barcy, J. Nuyts and L. Van Hove, Phys. Lett. 9 (1964), 279[CrossRef]]
    and the three-triplet models [M. Y. Han and Y. Nambu, Phys. Rev. 139 (1965), B1006[APS]] are adopted.
  14. D. R. O. Morrison, Phys. Lett. 22 (1966), 528[CrossRef].
  15. K. Shiga and M. Uehara, Prog. Theor. Phys. 43 (1970), 1404[PTP].
  16. S. Ogawa, Talk at the meeting on Models and Structure of Elementary Particles held at the Research Institute for Fundamental Physics, Kyoto (1960).
  17. G. F. Chew and S. Frautschi, Phys. Rev. Lett. 8 (1962), 41[APS].
  18. M. Kugler, Phys. Rev. Lett. 21 (1968), 21[APS].
    R. W. Childers, Phys. Rev. Lett. 21 (1968), 868[APS].
    L. Corgnier, A. D'Adda and A. Prastaro, Nuovo Cim. A 57 (1968), 881.
    C. Lovelace, Nucl. Phys. B 12 (1969), 253[CrossRef].
    S. Fubini and G. Veneziano, Nuovo Cim. A 64 (1969), 811.
    L. Corgnier and A. D'Adda, Nuovo Cim. A 66 (1970), 253.
    C. Boldrighini and L. Sertorio, CERN TH 1173 (1970).
  19. Fukushima, Otsuki, Sawada and Toyoda, Prog. Theor. Phys. 37 (1967), 964[PTP].
  20. H. Kanada and M. Yasuno, Prog. Theor. Phys. 38 (1967), 907[PTP].
  21. H. Senju and T. Suzuki, Prog. Theor. Phys. 43 (1970), 976[PTP].
  22. M. L. Blackmon and G. R. Goldstein, Phys. Rev. 179 (1969), 1480[APS].
  23. C. Schmidt, Phys. Rev. Lett. 20 (1968), 628[APS].
  24. G. T. Hoff, Phys. Rev. Lett. 18 (1967), 816[APS].
  25. K. Shiga, F. Toyoda and K. Kinoshita, Nucl. Phys. 24 (1970), 490[Elsevier].
  26. Hasebe, Hayakawa, Kanada, Otsuki and Yasuno, Prog. Theor. Phys. 35 (1966), 755[PTP].
    Hasebe, Kanada, Otsuki, Sawada and Yasuno, Prog. Theor. Phys. 36 (1966), 1301[PTP].
  27. T. F. Kycia and K. F. Riley, Phys. Rev. Lett. 10 (1963), 266[APS].
  28. R. D. Rust et al., Phys. Rev. Lett. 24 (1970), 1361[APS].
    W. F. Baker et al., Phys. Lett. B 28 (1968), 291[CrossRef].
    J. P. Chandler et al., Phys. Rev. Lett. 23 (1969), 186[APS].
  29. C. T. Coffin et al., Phys. Rev. 159 (1967), 1169[APS].
  30. D. P. Owen et al., Phys. Rev. 181 (1969), 1794[APS].
  31. R. J. Esterling et al., taken from G. Bellettini, 14th International Conference on High Energy Physics (1968), p. 329.
  32. J. L. Rosner, Phys. Rev. Lett. 24 (1970), 173[APS].
    R. H. Capps, Phys. Rev. Lett. 22 (1969), 215[APS].
    V. Barger and C. Michael, Phys. Rev. 186 (1969), 1592[APS].
    M. Rimpault and Ph. Salin, Nucl. Phys. B 22 (1970), 235[CrossRef].
  33. F. Noda and F. Toyoda, Prog. Theor. Phys. 45 (1971), 1634[PTP].
  34. C. Lovelave, Irvine Conference Report ((CERN preprint TH 1123) December 1969).
  35. H. Goldberg, Phys. Rev. Lett. 21 (1968), 779[APS].
  36. Imachi, Kinoshita, Noda and Shiga, Talk at the Annual Meeting of Physical Society of Japan, October 1970.
  37. D. H. Coward et al., Phys. Rev. Lett. 20 (1968), 292[APS].
  38. C. W. Akerlof et al., Phys. Rev. 163 (1967), 1482[APS].
    Y. Oyanagi, Nucl. Phys. B 14 (1969), 375[CrossRef].
    T. C. Chia, M. Hama and D. Kiang, Phys. Rev. D 1 (1970), 2126[APS].
  39. D. R. Rust et al., Phys. Rev. Lett. 24 (1970), 1361[APS].
    J. Orear et al., Phys. Rev. Lett. 21 (1968), 392[APS].
  40. K. S. Han et al., Phys. Rev. Lett. 24 (1970), 1353[APS].
  41. R. Rubinstein et al., Phys. Rev. Lett. 21 (1968), 387, [APS]and CERN Topical Conference Report (1968), p. 571.
    G. Giacomelli et al., Phys. Lett. B 31 (1970), 321[CrossRef].
  42. A. S. Carrol et al., Vienna Conference Report (1968), p. 339.
    C. Daum et al., Nucl. Phys. B 6 (1968), 273[CrossRef].
  43. W. L. Yen et al., Phys. Rev. Lett. 22 (1969), 963[APS].
  44. Imachi, Otsuki, Sawada and Toyoda, Prog. Theor. Phys. 38 (1967), 1177[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 46 No. 4 (1971) pp. 1125-1149 :
    Dip-Bump Structure of Hadron Large Angle Scattering in Terms of Multiple Scattering Mechanism and the Spin Correlation Parameters
    Seiichi Wakaizumi
  2. Progress of Theoretical Physics Vol. 47 No. 2 (1972) pp. 730-731 :
    Cross Over and Shrinkage for Hadron-Hadron Elastic Scattering
    Hiroyuki Nagai
  3. Progress of Theoretical Physics Vol. 47 No. 3 (1972) pp. 925-933 :
    Geometrical Duality, Effective Regge Trajectory and the Equivalent High Energy Models
    Yasutsugu Kohsaka and Fujio Takagi
  4. Progress of Theoretical Physics Vol. 47 No. 4 (1972) pp. 1300-1321 :
    Inclusive Reactions and Urbaryon Rearrangement Diagrams
    Hujio Noda and Kisei Kinoshita
  5. Progress of Theoretical Physics Vol. 47 No. 4 (1972) pp. 1440-1442 :
    On Scaling of Interaction Radius
    Shoichiro Otsuki
  6. Progress of Theoretical Physics Vol. 47 No. 4 (1972) pp. 1445-1447 :
    On the Real Part of Resonance Correlation
    Masahiro Imachi
  7. Progress of Theoretical Physics Vol. 47 No. 4 (1972) pp. 1448-1449 :
    Proton-Proton Scattering and Urbaryon Rearrangement
    Masahiro Imachi, Takashige Oroguchi and Shoichiro Otsuki
  8. Progress of Theoretical Physics Vol. 47 No. 5 (1972) pp. 1643-1662 :
    Urbaryon Rearrangement and Inclusive Phenomenology
    Takeo Matsuoka
  9. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 1910-1921 :
    Phenomenological Analysis of Pomeron-Exchange Amplitude for Pion-Nucleon Scattering and Cross Sections Due to Resonances (Nonresonant Background)
    Masao Inose, Toshiaki Karasuno and Shigeo Minami
  10. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 1958-1973 :
    Impact Parameter Representation of Resonance Correlation
    Kazuo Ghoroku, Masahiro Imachi, Shoichiro Otsuki and Fumihiko Toyoda
  11. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 2044-2054 :
    The Electromagnetic Form Factors Based on the Theory of Meromorphic Functions
    Masanori Kobayashi
  12. Progress of Theoretical Physics Vol. 48 No. 1 (1972) pp. 210-230 :
    Systematic Structure in Hadronic Two-Body Scattering and Resonance Correlation
    Kazuo Ghoroku, Masahiro Imachi, Shoichiro Otsuki and Fumihiko Toyoda
  13. Progress of Theoretical Physics Vol. 48 No. 2 (1972) pp. 499-512 :
    Dual Geometrical Model for πN Scattering
    Yasutsugu Kohsaka and Fujio Takagi
  14. Progress of Theoretical Physics Vol. 48 No. 3 (1972) pp. 900-915 :
    Generalization of Geometrical Duality
    Fujio Takagi
  15. Progress of Theoretical Physics Vol. 48 No. 4 (1972) pp. 1408-1410 :
    A Peripheral Absorption Model for π-p Charge Exchange Scattering
    Yoshimasa Takaya and Masakatsu Kenmoku
  16. Progress of Theoretical Physics Vol. 48 No. 5 (1972) pp. 1606-1617 :
    Duality and Bessel-Function Model for π-p → π0n from the Regge-Theory Viewpoint
    Kiyomi Itabashi
  17. Progress of Theoretical Physics Vol. 49 No. 1 (1973) pp. 282-292 :
    High Energy Photo-Reactions and Generalized Vector Meson Dominance Model in the Relativistically Extended Quark Model
    Tsunehiro Kobayashi
  18. Progress of Theoretical Physics Vol. 49 No. 2 (1973) pp. 562-572 :
    Urbaryon Rearrangement and the Breaking of Line Reversal Relations. I
    Takeo Matsuoka and Shoji Sawada
  19. Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 957-974 :
    What Model of Hadrons Does the Lepton-Hadron Collision Require ?
    Akira Kakuto and Hirofumi Senju
  20. Progress of Theoretical Physics Vol. 49 No. 4 (1973) pp. 1233-1250 :
    Resonance Correlation and Zeros of Scattering Amplitudes
    Masahiro Imachi, Takahisa Kuroiwa and Fumihiko Toyoda
  21. Progress of Theoretical Physics Vol. 49 No. 4 (1973) pp. 1251-1258 :
    Urbaryon Rearrangement and D/F Ratios
    Takeo Matsuoka and Shoji Sawada
  22. Progress of Theoretical Physics Vol. 50 No. 2 (1973) pp. 574-588 :
    Duality Aspects of Meson-Baryon Scattering and Urbaryon Rearrangement Amplitudes
    Kayoko Awaya, Akizo Kobayashi and Kansuke Ninomiya
  23. Progress of Theoretical Physics Vol. 50 No. 2 (1973) pp. 702-703 :
    Baryon Exchange and Urbaryon Rearrangement Diagram
    Fumihiko Toyoda
  24. Progress of Theoretical Physics Vol. 50 No. 4 (1973) pp. 1418-1420 :
    U(6) Baryon Spectrum and U(6) Breaking
    Kazuo Ghoroku, Masahiro Imachi and Yoshimasa Nakano
  25. Progress of Theoretical Physics Vol. 50 No. 5 (1973) pp. 1594-1614 :
    Amplitude Anlysis of Pion-Nucleon Scattering Based on the Peripherality
    Yasutsugu Kohsaka and Fujio Takagi
  26. Progress of Theoretical Physics Vol. 50 No. 5 (1973) pp. 1615-1625 :
    Imaginary Parts of the Helicity Amplitudes for K-N(π-N) Scattering
    Toshiaki Karasuno, Shigeo Minami and Masaharu Terada
  27. Progress of Theoretical Physics Vol. 51 No. 2 (1974) pp. 528-540 :
    Dip Structure and Crossing Matrix Zero in Vector Meson Productions
    Kenzo Inoue, Tetsuji Kawabe and Masayuki Uehara
  28. Progress of Theoretical Physics Vol. 51 No. 5 (1974) pp. 1424-1432 :
    Diffraction Peak in p-p (p-p) Scattering and Growth of the Total Cross Section
    Shigeo Minami
  29. Progress of Theoretical Physics Vol. 51 No. 5 (1974) pp. 1481-1487 :
    A Geometrical Aspect of Multiplicity Distribution and Elastic Diffraction Scattering
    Hisakazu Minakata
  30. Progress of Theoretical Physics Vol. 51 No. 6 (1974) pp. 1822-1835 :
    Universality of Urbaryon Rearrangement Amplitudes
    Yuji Igarashi, Takeo Matsuoka and Shoji Sawada
  31. Progress of Theoretical Physics Vol. 52 No. 1 (1974) pp. 184-195 :
    Urbaryon Rearrangement and Breaking of Line Reversal Relations. II
    Takeo Matsuoka and Shoji Sawada
  32. Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 585-595 :
    KN and \overlineKN Scattering in a Regge-Pole Model without τP Parity Partners
    Masakatsu Kenmoku
  33. Progress of Theoretical Physics 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
  34. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 971-985 :
    Breaking of Line Reverse Relation and Exotics
    Masahiro Imachi and Shoichiro Otsuki
  35. 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
  36. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 1059-1061 :
    Forward Meson-Baryon Scattering and Urbaryon Rearrangement Amplitudes with Z Type Ones
    Hideo Ishikawa, Hiroyuki Kanada and Akizo Kobayashi
  37. Progress of Theoretical Physics Vol. 52 No. 5 (1974) pp. 1567-1582 :
    Analysis of PsN →VN Reactions through s-Channel Picture
    Kenzo Inoue, Tetsuji Kawabe and Masayuki Uehara
  38. Progress of Theoretical Physics Vol. 53 No. 1 (1975) pp. 125-139 :
    Meson-Baryon Backward Scattering and Resonance Correlation
    Kazuo Ghoroku, Masahiro Imachi, Shoichiro Otsuki and Fumihiko Toyoda
  39. Progress of Theoretical Physics Vol. 53 No. 4 (1975) pp. 1058-1071 :
    Peripheral Orbit Model. II
    Yasuo Hara and Tomonori Kuroda
  40. Progress of Theoretical Physics Vol. 53 No. 5 (1975) pp. 1514-1516 :
    Breaking of Line Reversal Relations and the Amplitude Structure in π-N and K(K)-N Charge Exchange Scattering
    Fumihiko Nakamura
  41. Progress of Theoretical Physics Vol. 53 No. 6 (1975) pp. 1731-1749 :
    A Resonance Model of Baryons without Parity Doublets Based on Duality and Quark Model
    Keiji Igi and Tokuzo Shimada
  42. Progress of Theoretical Physics Vol. 54 No. 3 (1975) pp. 772-780 :
    SU(6) ×O(3), 3 P0 and Duality
    Kenzo Inoue
  43. Progress of Theoretical Physics Vol. 55 No. 2 (1976) pp. 551-566 :
    Structure and Interactions of Hadrons with Orientable String
    Masahiro Imachi, Shoichiro Otsuki and Fumihiko Toyoda
  44. Progress of Theoretical Physics Vol. 55 No. 3 (1976) pp. 761-769 :
    The s-Dependence of F/D Ratio and Universality of UR Amplitudes
    Akihiro Nakamura
  45. Progress of Theoretical Physics Vol. 55 No. 4 (1976) pp. 1169-1184 :
    Charge Exchange Reactions in the Peripheral Orbit Model
    Yasuo Hara and Tomonori Kuroda
  46. Progress of Theoretical Physics Vol. 57 No. 6 (1977) pp. 2013-2023 :
    The Large Angle Behavior of the Two-Body Reactions in a Peripheral Reaction Model
    Tomonori Kuroda
  47. Progress of Theoretical Physics Vol. 63 No. 5 (1980) pp. 1723-1737 :
    Electroproduction of a Meson and Correlating Quark Rearrangement Model
    Kazuyoshi Izawa
  48. 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.