---

Prog. Theor. Phys. Vol. 34 No. 3 (1965) pp. 455-461

Range of Validity of the One-Boson-Exchange Model

Yogiro Hama and Norio Hoshizaki

Research Institute for Fundamental Physics, Kyoto University, Kyoto

(Received June 3, 1965)

Abstract:

The validity of the one-boson-exchange model is discussed in connection with the nucleon-nucleon scattering. From a consideration of the asymptotic behaviour of the phase shifts calculated with this model as the incident energy goes to infinitey, it is shown that an appropriate limitation in energy must be imposed in order that the theory does not present contradiction with the Levinson theorem. A practical limit of applicability of the model is effectively established in terms of the impact parameter whose critical value is fixed to be 0.4 ∼0.6 \hbar/µ_πc; for those values of the impact parameter smaller than this, the theory does not work. An alternate estimate of the critical value is given in terms of the ranges of the forces due to the exchange of each boson, showing a reasonable agreement with the former value. A discussion concerning the inclusion of other bosons not yet discovered is also given.

URL : http://ptp.ipap.jp/link?PTP/34/455/
DOI : 10.1143/PTP.34.455

[ Full Text PDF : FREE ACCESS (501K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. Y. Hama and N. Hoshizaki, Soryushiron Kenkyu (mimeographed circular in Japanese) 30 (1964), 50.
2. N. Hoshizaki, S. Otsuki, W. Watari and M. Yonezawa, Prog. Theor. Phys. 27 (1962), 1199[PTP].
3. S. Sawada, T. Ueda, W. Watari and M. Yonezawa, Prog. Theor. Phys. 28 (1962), 991[PTP].
   T. Ueda, Prog. Theor. Phys. 29 (1963), 829[PTP].
   M. Kikugawa, Prog. Theor. Phys. 31 (1964), 654[PTP].
   N. Hiroshige, T. Ino and M. Matsuda, Prog. Theor. Phys. 31 (1964), 719[PTP]; ibid. 31 (1964), 721[PTP].
   M. Matsuda and S. Sawada, Prog. Theor. Phys. 31 (1964), 804[PTP].
4. Y. Hama and N. Hoshizaki, Prog. Theor. Phys. 31 (1964), 609[PTP]; ibid. 31 (1964), 615[PTP]; ibid. 31 (1964), 1162[PTP].
5. N. Levinson, Kgl. Danske Videnskab. Selskab, Mat. -fys. Medd. 25 (1949), No. 9.
   J. M. Jauch, Helv. Phys. Acta 30 (1957), 143.
   M. Ida, Prog. Theor. Phys. 21 (1959), 625[PTP].
   M. T. Vaughn, R. Aaron R. D. Amado, Phys. Rev. 124 (1961), 1258[APS].
6. S. Sawada, T. Ueda, W. Watari and M. Yonezawa, Prog. Theor. Phys. 32 (1964), 380[PTP].
7. J. Iwadare, S. Otsuki, R. Tamagaki and W. Watari, Prog. Theor. Phys. Suppl. No. 3 (1956), 32[PTP].
8. M. Taketani, S. Machida and S. Ônuma, Prog. Theor. Phys. 6 (1951), 638[PTP].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 34 No. 4 (1965) pp. 584-593 :

   On the Phase-Shift Analysis of the Nucleon-Nucleon Scattering above 1 GeV

   Yogiro Hama and Norio Hoshizaki

2. Progress of Theoretical Physics Vol. 35 No. 2 (1966) pp. 261-280 :

   Proton-Proton Interaction in the GeV Region

   Yogiro Hama

3. 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

4. Progress of Theoretical Physics Vol. 42 No. 4 (1969) pp. 815-825 :

   p-p Scattering Matrix in the GeV-Energy Region. I

   Norio Hoshizaki and Tsuyoshi Kadota

5. 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

---

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

Copyright © Progress of Theoretical Physics 2013 All rights reserved.