HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 32 (1964) > Number 2
| Next Article >

Prog. Theor. Phys. Vol. 32 No. 2 (1964) pp. 220-241

[ Full Text PDF : FREE ACCESS (1503K) ]

Nuclear Interaction of Core Region

Shoichiro Otsuki, Ryozo Tamagaki* and Masanobu Wada*

Department of Physics, Nagoya University, Nagoya
*Department of Physics, Hokkaido University, Sapporo

(Received April 20, 1964)

Abstract:

In the former half of the paper, the singlet S phase shift 1δ0 is calculated by assuming a nuclear potential with a soft core of the Yukawa shape, the Gaussian shape, or the modified Gaussian shape exp {-(κx)4} surrounded by an attractive well with the one-pion-exchange tail. It is shown that the short-tailed soft core as the Gaussian or the modified-Guassian shape can explain the behavior of 1δ0 up to 1 GeV while the long-tailed core such as the Yukawa shape with the range >1/M can not reproduce 1δ0 even in the energy region 0∼200 MeV. It is argued that the explanation of the origin of the soft core in terms of a vector-meson-exchange is rather unprobable. The effective radius of the soft core is found to be 0.4∼0.5/µ and the effective height a few GeV.
In the latter half of the paper, it is pointed out that the nuclear interaction may have a different nature outside and inside the effective core radius, by investigating the energy dependence of the absorption coefficient versus the impact parameter. The strong repulsion at low energies and the strong absorption at tens GeV, which are characteristic to the inner part, could be regarded as a manifestation of degrees of freedom inherent in the core region. Importance of the nucleon-nucleon polarization measurement in the GeV energy region as well as the measurement of the four momentum transfer in the cosmic ray nuclear interactins are discussed in order to go one step further in clarifying the core region interaction. A hypothetical interpretation on the substantial carrier of the degrees of freedom is proposed based on an analogy with nucleus that the carrier is a many-body-system of ur-fermions. The core is interpreted as the exchange repulsion due to the antisymmetrization among the ur-fermions.


URL : http://ptp.ipap.jp/link?PTP/32/220/
DOI : 10.1143/PTP.32.220

[ Full Text PDF : FREE ACCESS (1503K) ] Citation:

References:

  1. R. Jastrow, Phys. Rev. 81 (1951), 165[APS].
  2. J. Iwadare, S. Otsuki, R. Tamagaki and W. Watari, Prog. Theor. Phys. 15 (1956), 472[PTP].
  3. R. E. Peierls, Proceedings of the International Conference on Nuclear Structure (Univ. of Toronto Press, 1960), 7.
    M. Razavy, G. Field and J. S. Levinger, Phys. Rev. 125 (1962), 269[APS].
    O. Rojo and L. M. Simmons, Phys. Rev. 125 (1962), 273[APS].
    A. M. Green, Nucl. Phys. 33 (1962), 218[CrossRef].
  4. W. Watari, Soryusiron Kenkyu (mimeographed circular in Japanese) 24 (1961), 175.
  5. N. Hoshizaki and S. Machida, Prog. Theor. Phys. 29 (1963), 49[PTP].
  6. T. Hamada and I. D. Johnston, Nucl. Phys. 34 (1962), 382[CrossRef].
  7. R. B. Raphael, Phys. Rev. 102 (1956), 905[APS].
  8. a) S. A. Moszkowski and B. L. Scott, Phys. Rev. Lett. 1 (1958), 298[APS].
    b) D. P. Saylor, R. A. Bryan and R. E. Marshak, Phys. Rev. Lett. 5 (1960), 266[APS].
    c) H. Feshbach, E. Lomon and A. Tubis, Phys. Rev. Lett. 6 (1961), 635[APS].
  9. See, for example, M. Matsuda and S. Sawada, Prog. Theor. Phys. 31 (1964), 804[PTP].
  10. a) Y. Nambu, Phys. Rev. 106 (1957), 1366[APS].
    b) J. J. Sakurai, Ann. of Phys. 11 (1960), 1[CrossRef]; Phys. Rev. 119 (1960), 1784[APS].
    c) G. Breit, Proc. Nat. Acad. Sci. 46 (1960), 746; Phys. Rev. 120 (1960), 287[APS].
  11. S. Hayawawa, Soryusiron Kenkyu (mimeographed circular in Japanese) 11 (1956), 113.
    S. Machida, Soryusiron Kenkyu 24 (1961), 53.
  12. a) Y. Hama and N. Hoshizaki, RIFP-30 (1963).
    b) L. S. Azhgirey et al., Phys. Lett. 6 (1963), 196, [CrossRef]sol. 1 - 6.
    c) I. Bystritsky and R. Zulkarneev, D-1236 (1963), sol. I.
    These eight solutions are consistent not only among themselves but also with the extrapolation of the almost established phase shifts below 310 MeV.
  13. Y. Hama and N. Hoshizaki, RIFP-31 (1963).
  14. a) R. Serber, Phys. Rev. Lett. 10 (1963), 357[APS].
    b) E. H. Auerbach and G. E. Brown, Phys. Lett. 6 (1963), 95[CrossRef].
    c) A. D. Krisch, Phys. Rev. Lett. 11 (1953), 217[APS].
    d) H. H. Aly, D. Lurie and S. Rosendorff, Phys. Lett. 7 (1963), 198[CrossRef].
  15. M. Taketani, S. Nakamura and M. Sasaki, Prog. Theor. Phys. 6 (1951), 581[PTP].
    M. Taketani et al., Prog. Theor. Phys. Suppl. No. 3 (1956).
  16. a) N. Hoshizaki, S. Otsuki, W. Watari and M. Yonezawa, Prog. Theor. Phys. 27 (1962), 1199[PTP].
    There appeared many similar works.
    b) I. M. Dremin and D. S. Chernavsky, Sov. Phys. -JETP 40 (1961), 1333.
    F. Salzman and G. Salzman, Phys. Rev. 121 (1961), 1541[APS].
  17. Amati, Fubini, Stanghellini and Tonin, Nuovo Cim. 22 (1961), 569.
  18. G. Breit, Phys. Rev. 34 (1929), 55[APS]; ibid. 51 (1937), 248[APS]; ibid. 51 (1937), 778[APS]; ibid. 53 (1938), 153[APS].
    D. W. L. Sprung and J. B. Willis, Proc. Phys. Soc. 76 (1960), 539.
    D. W. L. Sprung, Proc. R. Soc. A 267 (1962), 244.
  19. N. Hoshizaki, S. Otsuki, R. Tamagaki, and W. Watari, Prog. Theor. Phys. 30 (1963), 494[PTP].
    P. Signell, N. R. Yoder and N. M. Miskovsky, private communication.
  20. a) H. Margenau, Phys. Rev. 59 (1941), 37[APS].
    b) E. Van der Spuy and H. J. Pienaar, Nucl. Phys. 7 (1958), 397[CrossRef].
    c) O. Endo, J. Hiura and I. Shimodaya, Prog. Theor. Phys. 31 (1964), 1157[PTP].
  21. a) Sakata, Prog. Theor. Phys. 16 (1956), 686[PTP].
    b) S. Sakata, Soryusiron Kenkyu (mimeographed circular in Japanese) 28 (1963), 110.
    c) Z. Maki, N. Nakagawa, Y. Ohnuki and S. Sakata, Prog. Theor. Phys. 23 (1960), 1174[PTP].
    See also Z. Maki and Y. Ohnuki, Prog. Theor. Phys. 32 (1964), 144[PTP].
    d) M. Taketani and Y. Katayama, Prog. Theor. Phys. 24 (1960), 661[PTP].
    e) Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122 (1961), 345[APS].
  22. M. Koshiba, Report at International Conference on Cosmic Rays, Jaipur, India, Dec. 2-14, 1963.
  23. H. P. Stapp, M. J. Moravcsik and H. P. Noyes, Proceedings of the 1960 Annual International Conference on High Energy Physics at Rochester (Int. Pub. Inc., New York, 1960).
    M. H. MacGregor, M. J. Moravsik and H. P. Stapp, Ann. Rev. Nucl. Sci. 10 (1960), 291.
    G. Breit et al., Phys. Rev. 120 (1960), 2227[APS]; ibid. 128 (1962), 826[APS].
  24. M. H. MacGregor, M. J. Moravcsik and H. P. Stapp, Ann. Rev. Nucl. Sci. 10 (1960), 129.
    J. L. Gammel and R. M. Thaler, Proceedings of Elementary Particle and Cosmic Rays, Vol. 2 (North-Holland Pub. Co., Amsterdam, 1960, 99.
    Engelke Benenson, Melkonian and Lebowitz, Phys. Rev. 129 (1963), 324[APS].
    H. P. Noyes, Phys. Rev. 130 (1963), 2025[APS].
  25. M. H. MacGregor, M. J. Moravcsik and H. P. Noyes, Phys. Rev. 123 (1961), 1835[APS].
    J. K. Perring, Nucl. Phys. 30 (1962), 424[CrossRef].
  26. Yu. M. Kazalinov and I. N. Silin, Proceedings of the 1962 International Conference on High Energy Physics at CERN (CERN, 1962); Sov. Phys. -JETP 43 (1962), 692.
  27. J. K. Perring, Nucl. Phys. 42 (1963), 306[CrossRef].
  28. M. H. MacGregor and M. J. Moravcsik, Phys. Rev. Lett. 4 (1960), 624[APS].
    See K. Gotow, F. Lobkowicz and E. Heer, Phys. Rev. 127 (1962), 2206[APS].
  29. M. H. MacGregor, M. J. Moravcsik and H. P. Stapp, Phys. Rev. 116 (1959), 1248[APS].
    M. H. MacGregor, NuPh-153 (1961), unpublished.
  30. H. P. Noyes, Nuclear Forces and the Few-Nucleon Problem, Vol. 1 (Pergamon Press, 1960), 39.
  31. S. Sawada, T. Ueda, M. Yonezawa and W. Watari, Prog. Theor. Phys. 28 (1962), 991[PTP].
    A. Scotti and D. Y. Wong, Phys. Rev. Lett. 10 (1963), 142[APS].
  32. J. M. Blatt and J. D. Jackson, Phys. Rev. 76 (1949), 18[APS].
  33. S. Otsuki and R. Tamagaki, Soryusiron Kenkyu (mimeographed circular in Japanese) 28 (1964), 383.
  34. Fujii, Prog. Theor. Phys. 21 (1959), 232[PTP].
    D. B. Lichtenberg, Nuovo. Cim. 27 (1963), 860.
  35. R. Tamagaki, M. Wada and W. Watari, Prog. Theor. Phys. 31 (1964), 623[PTP].
  36. L. Wolfenstein, Ann. Rev. Nucl. Sci. 5 (1952), 43.
  37. N. Hoshizaki and S. Machida, Prog. Theor. Phys. 29 (1963), 44[PTP].
  38. D. H. Sharp and W. G. Wagner, Phys. Rev. 131 (1963), 2226[APS].
  39. P. Bareyre et al., Nuovo Cim. 20 (1961), 1049.
    J. Button and B. Maglic, Phys. Rev. 127 (1962), 1297[APS].
    B. Escoubes et al., Phys. Lett. 5 (1963), 132[CrossRef].
    Kanavetz, Levintov, Morozov and Shavranov, Phys. Lett. 7 (1963), 165[CrossRef].
  40. G. Igo, Phys. Rev. 117 (1960), 1079[APS].
  41. G. F. Chew and S. Frautschi, Phys. Rev. 126 (1962), 1202[APS].
  42. H. Hayashi, H. Okonogi, S. Otsuki and Y. Sumi, Prog. Theor. Phys. 28 (1962), 215[PTP].
  43. S. Hasegawa and K. Yokoi, Utyusen Kenkyu (mimeographed circular in Japanese) 7 (1962), 186.
    See also S. Hasegawa, Prog. Theor. Phys. 29 (1963), 128[PTP].
    T. Kawamura, Soryusiron Kenkyu (mimeographed circular in Japanese) 24 (1962), 369.
  44. Z. Koba and A. Krzywicki, Nucl. Phys. 46 (1963), 471[CrossRef]; ibid. 46 (1963), 485[CrossRef].
    F. Salzman, Phys. Rev. 131 (1963), 1786[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 33 No. 1 (1965) pp. 55-70 :
    Inner Region and Nonstatic Effects of Nuclear Forces in the Triplet Odd State
    Ryozo Tamagaki, Masanobu Wada and Wataro Watari
  2. Progress of Theoretical Physics Vol. 33 No. 1 (1965) pp. 92-124 :
    Classical Boson Wave Excitation in Inelastic Collisions and Shadow Scatterings at Very High Energies
    Mikio Namiki
  3. Progress of Theoretical Physics Vol. 33 No. 1 (1965) pp. 125-150 :
    Hard Core of the Nuclear Force and Many Fermion Nonlocal Structure of Baryons and Mesons
    Shigeru Machida and Mikio Namiki
  4. Progress of Theoretical Physics Vol. 35 No. 1 (1966) pp. 177-179 :
    Nuclear Matter and Soft Core Potentials
    Minoru Harada, Ryōzō Tamagaki and Hajime Tanaka
  5. Progress of Theoretical Physics Vol. 35 No. 1 (1966) pp. 181-182 :
    Remarks on Shape of Repulsive Core of Nuclear Forces
    Shoichiro Otsuki, Shoji Sawada, Ryōzō Tamagaki and Wataro Watari
  6. Progress of Theoretical Physics Vol. 35 No. 2 (1966) pp. 261-280 :
    Proton-Proton Interaction in the GeV Region
    Yogiro Hama
  7. Progress of Theoretical Physics Vol. 35 No. 4 (1966) pp. 659-672 :
    On the Structure of Hadrons
    Ken-iti Matumoto
  8. Progress of Theoretical Physics Vol. 36 No. 2 (1966) pp. 313-336 :
    Scattering Phase Shifts at High Energies
    Yoshio Higuchi and Shigeru Machida
  9. Progress of Theoretical Physics Vol. 36 No. 5 (1966) pp. 1003-1013 :
    Nuclear Matter Calculations with Soft-Core Potentials in Momentum Space. I
    Minoru Harada, Ryozo Tamagaki and Hajime Tanaka
  10. Progress of Theoretical Physics Vol. 37 No. 4 (1967) pp. 692-701 :
    Hard Core and Absorption in a Two-Channel Model for Proton-Proton Collision
    Gyo Hida, Shoji Sawada, Tadashi Yano and Minoru Yonezawa
  11. Progress of Theoretical Physics Vol. 37 No. 5 (1967) pp. 964-985 :
    Cluster Model of Hadrons
    Yoshihiro Fukushima, Shoichiro Otsuki, Shoji Sawada and Fumihiko Toyoda
  12. Progress of Theoretical Physics Vol. 37 No. 6 (1967) pp. 1116-1130 :
    α-α Interaction at High Energies
    Yasuhisa Abe, Osamu Endo and Ryozo Tamagaki
  13. Progress of Theoretical Physics Vol. 37 No. 6 (1967) pp. 1147-1166 :
    On the Possible Origin of Repulsive Core and Spin-Orbit Forces in the Nucleon-Nucleon Interaction
    Masahiro Sato and Ryozo Tamagaki
  14. Progress of Theoretical Physics Vol. 37 No. 6 (1967) pp. 1338-1340 :
    Repulsive Core of Nuclear Forces and Nuclear Matter
    Teruhisa Kasahara and Ryozo Tamagaki
  15. Progress of Theoretical Physics Vol. 38 No. 1 (1967) pp. 202-209 :
    Resonances and Antishrinkage of Diffraction Peak
    Katsuya Hasebe
  16. Progress of Theoretical Physics Vol. 38 No. 2 (1967) pp. 514-516 :
    On the Analysis of Nucleon-Nucleon Scattering with Large Momentum Transfers
    Masayuki Nagasaki, Toshiaki Hirasawa and Mituo Taketani
  17. Progress of Theoretical Physics Vol. 38 No. 5 (1967) pp. 1134-1145 :
    Analysis of Proton-Proton Scattering at High Energy
    Hiroyuki Kanada, Shoichiro Otsuki, Kenji Sakai and Masaru Yasuno
  18. Progress of Theoretical Physics Vol. 38 No. 6 (1967) pp. 1406-1408 :
    Momentum Space Calculations on the Repulsive Core of Nuclear Forces
    Masanobu Wada
  19. Progress of Theoretical Physics Vol. 39 No. 1 (1968) pp. 91-107 :
    Potential Models of Nuclear Forces at Small Distances
    Ryozo Tamagaki
  20. Progress of Theoretical Physics Vol. 41 No. 1 (1969) pp. 105-130 :
    On the Repulsive Core and the Nonstatic Effects of Nuclear Forces in Momentum Space
    Masanobu Wada
  21. Progress of Theoretical Physics Vol. 42 No. 4 (1969) pp. 826-836 :
    p-p Scattering Matrix in the GeV-Energy Region. II
    Norio Hoshizaki and Tsuyoshi Kadota
  22. Progress of Theoretical Physics Vol. 42 No. 5 (1969) pp. 1143-1150 :
    One-Boson-Exchange Contributions with Form Factors to Elastic p-p Scattering at High Energies
    Hirofumi Hayashi
  23. Progress of Theoretical Physics Vol. 43 No. 3 (1970) pp. 696-708 :
    Nuclear Force in the Inner Region and One-Boson-Exchange Model
    Tamotsu Ueda
  24. Progress of Theoretical Physics Vol. 45 No. 4 (1971) pp. 1123-1138 :
    p-p Scattering Matrix in the GeV-Energy Region. III
    Norio Hoshizaki, Tsuyoshi Kadota and Koichi Maki
  25. Progress of Theoretical Physics Vol. 47 No. 5 (1972) pp. 1663-1675 :
    Possible Explanation of the “Strong Core” Present in Hadron Reactions
    Hisao Nakkagawa
  26. Progress of Theoretical Physics Vol. 49 No. 5 (1973) pp. 1768-1770 :
    Angular Distribution of p-p Scattering at High Energies and Radius of the Hard Core
    Masayuki Nagasaki and Mitsuo Taketani
  27. Progress of Theoretical Physics Vol. 53 No. 3 (1975) pp. 732-749 :
    Nonstatic One-Boson-Exchange Potential with Retardation
    Toshio Obinata and Masanobu Wada
  28. Progress of Theoretical Physics Vol. 57 No. 6 (1977) pp. 1984-2000 :
    Nonstatic One-Boson-Exchange Potential with Retardation and Nuclear Matter
    Toshio Obinata and Masanobu Wada
  29. Progress of Theoretical Physics Vol. 95 No. 4 (1996) pp. 745-766 :
    An Analysis of ππ-Scattering Phase Shift and Existence of σ(555) Particle
    Shin Ishida, Muneyuki Ishida, Hiroyuki Takahashi, Taku Ishida, Kunio Takamatsu and Tsuneaki Tsuru
  30. Progress of Theoretical Physics Vol. 113 No. 6 (2005) pp. 1287-1313 :
    Gaussian Source One-Boson-Exchange Potential between Two Octet Baryons
    Isamu Arisaka, Kimiko Nakagawa, Shoji Shinmura and Masanobu Wada
  31. Progress of Theoretical Physics Vol. 119 No. 6 (2008) pp. 965-989 :
    Universal Short-Range Repulsion in the Baryon System Originating from the Confinement
    Ryozo Tamagaki
  32. Progress of Theoretical Physics Supplement No.54 (1973) pp. 51-72 :
    Angular Distribution of p-p Elastic Scattering at High Energies and Radius of the Hard Core
    Masayuki Nagasaki and Mituo Taketani
  33. Progress of Theoretical Physics Supplement No. 185 (2010) pp. 1-13 :
    Baryon-Baryon Interactions and Hypernuclei
    Emiko Hiyama, Toshio Motoba, Thomas A. Rijken and Yasuo Yamamoto

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

Copyright © Progress of Theoretical Physics 2013 All rights reserved.