HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 23 (1960) > Number 1
| Next Article >

Prog. Theor. Phys. Vol. 23 No. 1 (1960) pp. 87-105

[ Full Text PDF : FREE ACCESS (1624K) ]

Spin-Orbit Splitting and Tensor Force. I

Tokuo Terasawa

The Institute for Solid State Physics, University of Tokyo, Tokyo

(Received September 21, 1959)

Abstract:

The effect of the tensor force on the spin-orbit splitting in He5 and N15 is examined by using the meson-theoretic potential and the phenomenological Serber potential which are consistent with the experimental data of two nucleon systems. About a half of the experimental values of the spin-orbit splitting in the mentioned nuclei are obtained by the accurate computation of the second order effect in perturbation theory, whereas several previous calculations of this effect have yielded the splitting of wrong sign or of too small magnitude.
As is pointed out in the present computation, the deformation of the closed shell core induced by the tensor interaction between the nucleons in the core is restricted so as to satisfy the Pauli principle with the outside nucleon. This restriction is mainly responsible for the present result of splitting energy.


URL : http://ptp.ipap.jp/link?PTP/23/87/
DOI : 10.1143/PTP.23.87

[ Full Text PDF : FREE ACCESS (1624K) ] Citation:

References:

  1. L. Rosenfeld, Nuclear Forces (1948) XV.
    D. R. Inglis, Phys. Rev. 50 (1936), 783[APS]; ibid. 75 (1949), 1767[APS].
  2. J. Fujita and H. Miyazawa, Prog. Theor. Phys. 17 (1957), 360[PTP]; ibid. 17 (1957), 366[PTP].
  3. P. S. Signell and R. E. Marshak, Phys. Rev. 106 (1957), 832[APS]; ibid. 109 (1958), 1229[APS].
    J. L. Gammel and R. M. Thaler, Phys. Rev. 107 (1957), 291[APS]; ibid. 107 (1957), 1337[APS].
  4. B. P. Nigam and M. K. Sundaresan, Phys. Rev. 111 (1958), 284[APS].
    J. Sawicki and R. Folk, Nucl. Phys. 11 (1959), 368[CrossRef].
  5. I. Sato, K. Itabashi and S. Sato, Prog. Theor. Phys. 14 (1955), 303[PTP].
    S. Okubo and R. E. Marshak, Ann. of Phys. 4 (1958), 166[CrossRef].
    S. Okubo and S. Sato, Prog. Theor. Phys. 21 (1959), 383[PTP].
  6. M. Taketani, S. Nakamura and M. Sasaki, Prog. Theor. Phys. 6 (1951), 581[PTP].
    Prog. Theor. Phys. Suppl. No. 3 (1956), edited by M. Taketani.
    M. Konuma, H. Miyazawa and S. Otsuki, Prog. Theor. Phys. 19 (1958), 17[PTP].
    S. Otsuki, Prog. Theor. Phys. 20 (1958), 171[PTP].
    W. Watari, Prog. Theor. Phys. 20 (1958), 181[PTP].
    R. Tamagaki, Prog. Theor. Phys. 20 (1958), 505[PTP].
    Hamada, Iwadare, Otsuki, Tamagaki and Watari, Soryushiron Kenkyu 18 (1959), 579; ibid. 18 (1959), 592; Prog. Theor. Phys. 22 (1959), 566[PTP].
  7. E. P. Wigner; Symposium on New Research Techniques in Physics. Rio de Janeiro 1952.
    E. P. Wigner and A. M. Feingold, Phys. Rev. 79 (1950), 221[APS].
    bis) A. M. Feingold, Phys. Rev. 101 (1956), 258[APS]; ibid. 114 (1959), 540[APS].
  8. S. M. Dancoff, Phys. Rev. 58 (1940), 326[APS].
    J. Keilson, Phys. Rev. 82 (1951), 759[APS].
    L. S. Kisslinger, Phys. Rev. 104 (1956), 1077[APS].
    B. Jancovici, Phys. Rev. 107 (1957), 631[APS]; Nuovo Cim. VII (1958), 290.
  9. Takagi, Watari and Yasuno, Prog. Theor. Phys. 22 (1959), 154[PTP]; ibid. 22 (1959), 549[PTP].
  10. B. Jancovici, Prog. Theor. Phys. 22 (1959), 585[PTP].
  11. Sugie, Hodgson and Robertson, Proc. Phys. Soc. A 70 (1957), 1.
  12. Nagata, Sasakawa, Sawada and Tamagaki, Prog. Theor. Phys. 22 (1959), 274[PTP].
  13. M. Bolsterli and E. Feenberg, Phys. Rev. 101 (1956), 1349[APS].
  14. I. Talmi, Helv. Phys. Acta 25 (1952), 185.
  15. R. J. Eden and V. J. Emery, Proc. R. Soc. A 248 (1958), 266.
  16. J. P. Elliot and T. H. R. Skyrme, Proc. R. Soc. (London) A 232 (1955), 561.
  17. Kalos, Biedenharn and Blatt, Nucl. Phys. 1 (1956), 233[Elsevier].
  18. B. C. Carlson and I. Talmi, Phys. Rev. 96 (1954), 436[APS].
  19. D. G. Ravenhall, Rev. Mod. Phys. 30 (1958), 430[APS].
    R. Hofstadter, Rev. Mod. Phys. 28 (1956), 214[APS].
  20. F. Ajzenberg and T. Lauritsen, Rev. Mod. Phys. 27 (1955), 77[APS].
  21. P. D. Miller and G. C. Phillips, Phys. Rev. 112 (1958), 2043[APS].
    J. Sanada, J. Phys. Soc. Jpn. 14 (1959), 1463[JPSJ].
  22. T. Terasawa, Prog. Theor. Phys. 22 (1959), 150[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 23 No. 1 (1960) pp. 115-136 :
    Spin-Orbit Splitting and Tensor Force. II
    Akito Arima and Tokuo Terasawa
  2. Progress of Theoretical Physics Vol. 24 No. 4 (1960) pp. 797-816 :
    Photodisintegration of the Deuteron in Medium Energy Range and the Pion Theoretical Nuclear Forces
    Junji Iwadare and Masahiko Matsumoto
  3. Progress of Theoretical Physics Vol. 25 No. 1 (1961) pp. 51-63 :
    Nuclear Deformation and Nuclear Force. II
    Kiyomi Ikeda, Sinobu Nagata and Kenjiro Takada
  4. Progress of Theoretical Physics Vol. 25 No. 5 (1961) pp. 855-858 :
    Two-Nucleon Spin-Orbit Forces and the Doublet Splitting in Low Energy n-α Scattering
    Yasuo Takamura and Ryozo Tamagaki
  5. Progress of Theoretical Physics Vol. 27 No. 2 (1962) pp. 315-341 :
    Two-Nucleon Potential with Full Recoil. III
    Shoichiro Otsuki, Ryozo Tamagaki and Wataro Watari
  6. Progress of Theoretical Physics Vol. 27 No. 3 (1962) pp. 449-460 :
    Meson-Theoretical Interactions in Heavy Nuclei
    Kenji Hasegawa
  7. Progress of Theoretical Physics Vol. 29 No. 4 (1963) pp. 610-612 :
    On p-He4 Effective Potential and Nuclear Forces
    Hiroyuki Kaneda, Sinobu Nagata, Shoichiro Otsuki and Yoshio Sumi
  8. Progress of Theoretical Physics Vol. 30 No. 4 (1963) pp. 475-493 :
    On Nucleon-He4 Interaction and Nuclear Forces
    Hiroyuki Kanada, Sinobu Nagata, Shoichiro Otsuki and Yoshio Sumi
  9. Progress of Theoretical Physics Vol. 48 No. 3 (1972) pp. 840-857 :
    The Coupling of the Spin-Dipole Mode with the Dipole Oscillations
    Yasutoshi Tanaka and Kiyomi Ikeda
  10. Progress of Theoretical Physics Vol. 59 No. 4 (1978) pp. 1230-1244 :
    Reaction Matrix Calculation for Neutron-Rich He-Isotopes
    Michio Kohno, Shinobu Nagata and Ryozo Tamagaki
  11. Progress of Theoretical Physics Vol. 66 No. 1 (1981) pp. 227-250 :
    Single-Particle Spin-Orbit Splittings in Nuclei
    Kazuhiko Andō and Hiroharu Bandō
  12. Progress of Theoretical Physics Vol. 66 No. 4 (1981) pp. 1349-1360 :
    Λ Single Particle Potential in Hypernuclei by an OBE Hyperon-Nucleon Interaction
    Hiroharu Bandō
  13. Progress of Theoretical Physics Vol. 108 No. 5 (2002) pp. 903-916 :
    Relativistic Mean-Field Theory with the Pion in Finite Nuclei
    Hiroshi Toki, Satoru Sugimoto and Kiyomi Ikeda
  14. Progress of Theoretical Physics Vol. 111 No. 1 (2004) pp. 75-92 :
    Chiral Sigma Model with Pion Mean Field in Finite Nuclei
    Yoko Ogawa, Hiroshi Toki, Setsuo Tamenaga, Hong Shen, Atsushi Hosaka, Satoru Sugimoto and Kiyomi Ikeda
  15. Progress of Theoretical Physics Vol. 113 No. 4 (2005) pp. 763-783 :
    Tensor Correlation in 4He and Its Effect on the Doublet Splitting in 5He
    Takayuki Myo, Kiyoshi Katō and Kiyomi Ikeda
  16. Progress of Theoretical Physics Vol. 115 No. 6 (2006) pp. 1069-1092 :
    Explicit Treatment of the Tensor Force with the Method of Antisymmetrized Molecular Dynamics
    Akinobu Doté, Yoshiko Kanada-En'yo, Hisashi Horiuchi, Yoshinori Akaishi and Kiyomi Ikeda
  17. Progress of Theoretical Physics Vol. 119 No. 4 (2008) pp. 561-581 :
    Systematic Study of 9,10,11Li with the Tensor and Pairing Correlations
    Takayuki Myo, Yuma Kikuchi, Kiyoshi Katō, Hiroshi Toki and Kiyomi Ikeda
  18. Progress of Theoretical Physics Supplement No.65 (1979) pp. 38-110 :
    Chapter III. Effective Interactions between Valence Nucleons
    Kazuhiko Andō, Hiroharu Bandō and Eugene M. Krenciglowa
  19. Progress of Theoretical Physics Supplement No.65 (1979) pp. 200-237 :
    Chapter VII. Hartree-Fock Calculations of Nuclear Bulk Properties with Density- and Starting-Energy-Dependent Effective Interaction
    Michio Kohno, Sinobu Nagata and Norio Yamaguchi
  20. Progress of Theoretical Physics Supplement No.68 (1980) pp. 193-302 :
    Chapter III. Study of Non-Alpha-Nuclei Based on the Viewpoint of Cluster Correlations
    Hiroshi Furutani, Hiroyuki Kanada, Tsuneo Kaneko, Sinobu Nagata, Hidetoshi Nishioka, Shigeto Okabe, Sakae Saito, Toshimi Sakuda and Michio Seya
  21. Progress of Theoretical Physics Supplement No.81 (1985) pp. 9-41 :
    Chapter II. Baryon-Baryon Interactions and Single-Particle Aspects of Hypernuclei
    Yasuo Yamamoto and Hiroharu Bandō
  22. Progress of Theoretical Physics Supplement No.146 (2002) pp. 437-441 :
    Relativistic Mean Field Theory with Pion Field for Finite Nuclei
    Satoru Sugimoto, Kiyomi Ikeda and Hiroshi Toki
  23. Progress of Theoretical Physics Supplement No.192 (2012) pp. 1-238 :
    Recent Developments in Nuclear Cluster Physics
    Hisashi Horiuchi, Kiyomi Ikeda and Kiyoshi Katō

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

Copyright © Progress of Theoretical Physics 2013 All rights reserved.