Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 50 No. 4 (1973) pp. 1312-1333

[ Full Text PDF : FREE ACCESS (1573K) ]

Nuclear Forces in Momentum Space with One-Boson-Exchange Model

Norio Hoshizaki and Tsuyoshi Kadota

Department of Nuclear Engineering, Kyoto University, Kyoto

(Received April 7, 1973)

Abstract:

A one-boson-exchange potential (OBEP) with six kinds of bosons (π, σ, ρ, ω, η and δ) is treated in momentum space to describe the nucleon-nucleon interaction below 400 MeV. Integral equations containing OBEP with full nonstatic effects are solved numerically. All the experimental phase shifts for the states with L ≧1 are well reproduced by adjusting only four parameters of ω-nucleon coupling constant g2ω/4π, δ-nucleon coupling constant g2δ/4π, σ-nucleon coupling constant g2σ/4π and mass of σ-meson mσ. The contribution from η-meson exchange is shown to be small. S-state phase shifts are also reproduced if the contribution from higher momentum part is cut off. A list of all the matrix elements of the nonstatic OBEP is given.


URL : http://ptp.ipap.jp/link?PTP/50/1312/
DOI : 10.1143/PTP.50.1312

[ Full Text PDF : FREE ACCESS (1573K) ] Citation:


References:

  1. N. Hoshizaki and T. Kadota, Soryushiron Kenkyu (mimeographed circular in Japanese) 46 (1972), 503.
  2. P. Signell, Prog. Theor. Phys. 22 (1959), 492[PTP].
  3. S. Machida, Prog. Theor. Phys. Suppl. No. 39 (1967), 91[PTP].
    J. Goto and S. Machida, Prog. Theor. Phys. 25 (1961), 64[PTP].
  4. J. Goto, Prog. Theor. Phys. 28 (1962), 283[PTP].
  5. P. Conners and P. Signell, Prog. Theor. Phys. 26 (1961), 757[PTP].
  6. S. Ogawa, S. Sawada, T. Ueda, W. Watari and M. Yonezawa, Prog. Theor. Phys. Suppl. No. 39 (1967), 140[PTP].
  7. E. Gotsman and S. Hochberg, Nucl. Phys. 42 (1963), 139[CrossRef]; ibid. 49 (1964), 177[CrossRef].
  8. M. Wada, Prog. Theor. Phys. 41 (1969), 105[PTP]; ibid. 47 (1972), 535[PTP].
  9. R. Tamagaki and W. Watari, Prog. Theor. Phys. Suppl. No. 39 (1967), 23[PTP].
    a) G. Schierholz, Nucl. Phys. B 40 (1972), 335[CrossRef].
    b) K. Holinde, K. Erkelenz and R. Alzetta, Nucl. Phys. A 194 (1972), 161[CrossRef].
  10. J. M. Blatt and V. F. Weisskopf, Theoretical Nuclear Physics (John Wiley and Sons, Inc., New York, 1952), Appendix A.
  11. H. P. Stapp, T. J. Ypsilantis and N. Metropolis, Phys. Rev. 105 (1957), 302[APS].
  12. S. Furuichi and W. Watari, Prog. Theor. Phys. 34 (1965), 594[PTP]; ibid. 36 (1966), 348[PTP].
  13. R. J. Oakes and J. J. Sakurai, Phys. Rev. Lett. 19 (1967), 1266[APS].
  14. J. J. Sakurai, Phys. Rev. Lett. 17 (1966), 1021[APS].
  15. E. L. Lomon and H. Feshbach, Ann. of Phys. 48 (1968), 94[CrossRef].
    a) H. Sugawara and F. von Hippel, Phys. Rev. 145 (1966), 1331[APS].
  16. N. Hoshizaki, I. Lin and S. Machida, Prog. Theor. Phys. 26 (1961), 680[PTP].
    It should be noted that on the 3rd line of Eq. (A·12) on p. 690 of this paper, the term +((Ep'-Ep)4)/(4(Ep'+M)2(Ep+M)2) should read -((Ep'-Ep)4)/(4(Ep'+M)2(Ep+M)2), and on the 3rd line of Eq. (A·13) on that page, the term -(Ep'-Ep)2 ×(M(Ep+Ep'+M))/(4(Ep'+M)(Ep+M)) should be corrected into -(Ep'-Ep)2 ×(M(Ep+Ep'+M))/((Ep'+M)(Ep+M)).
  17. R. A. Arndt, M. H. MacGregor and R. M. Wright, Phys. Rev. 182 (1969), 1714[APS].
  18. A. R. Edmonds, Augular Momentum in Quantum Mechanics (Princeton University Press, Princeton, 1957).
  19. R. J. Ord-Smith, Phys. Rev. 94 (1954), 1227[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 51 No. 1 (1974) pp. 311-313 :
    Nuclear Forces in Momentum Space with One-Boson-Exchange Model. II
    Norio Hoshizaki and Tsuyoshi Kadota
  2. Progress of Theoretical Physics Vol. 52 No. 4 (1974) pp. 1264-1273 :
    Properties of Nuclear Matter for the Proposed NN One-Boson-Exchange Potential with Full Nonstatic Effects
    Norio Hoshizaki, Tsuyoshi Kadota and Teruhisa Kasahara
  3. Progress of Theoretical Physics Vol. 53 No. 3 (1975) pp. 732-749 :
    Nonstatic One-Boson-Exchange Potential with Retardation
    Toshio Obinata and Masanobu Wada
  4. Progress of Theoretical Physics Vol. 61 No. 6 (1979) pp. 1697-1714 :
    The Relativistic Effects on the Two-Nucleon and Nuclear Matter Systems
    Toshio Obinata and Masanobu Wada
  5. Progress of Theoretical Physics Vol. 89 No. 1 (1993) pp. 251-255 :
    On 2+ Dibaryon in pp and \pid Scattering
    Norio Hoshizaki