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Prog. Theor. Phys. Vol. 32 No. 5 (1964) pp. 804-809

[ Full Text PDF : FREE ACCESS (309K) ]

Threshold Behaviour of Partial-Wave Dispersion Relation

Susumu Furuichi and Minoru Yonezawa*

Department of Physics, Rikkyo University, Tokyo
*Research School of Physical Sciences, The Australian National University, Canberra, Australia

(Received June 11, 1964)

Abstract:

A detailed analysis is made of the threshold behaviour of the partial-wave dispersion relation, taking N-N scattering with spinless π and N as an example. It is shown up to the fourth order of the effective π-N coupling constant g that the correct threshold behaviour of the amplitude is obtained due to the cancellation between the contribution from the right-hand cut and the contribution from the left-hand cut, though each of these contributions does not show the correct threshold behaviour.


URL : http://ptp.ipap.jp/link?PTP/32/804/
DOI : 10.1143/PTP.32.804

[ Full Text PDF : FREE ACCESS (309K) ] Citation:

References:

  1. G. F. Chew, M. L. Goldberger, F. E. Low and Y. Nambu, Phys. Rev. 106 (1957), 1337[APS].
  2. S. Furuichi, Prog. Theor. Phys. 27 (1962), 51[PTP]; ibid. 29 (1963), 235[PTP].
  3. A. Scotti and D. Y. Wong, Phys. Rev. Lett. 10 (1963), 142[APS].
  4. G. Frye and R. L. Warnock, Phys. Rev. 130 (1963), 478[APS].
  5. M. Cini and S. Fubini, Ann. of Phys. 10 (1960), 352[CrossRef].
  6. For the details of derivation, see Furuichi and Yonezawa (to be published).
  7. A similar possibility was also discussed by M. H. MacGregor from a different point of view, Phys. Rev. Lett. 12 (1964), 403[APS].
  8. See for example, Tables of Integral Transforms, eidted by A. Erdélyi (McGraw-Hill, 1954), Vol. II, p. 325.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 32 No. 3 (1964) pp. 380-398 :
    One Boson Exchange Model in Nucleon-Nucleon Scattering. II
    Shoji Sawada, Tamotsu Ueda, Wataro Watari and Minoru Yonezawa
  2. 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
  3. Progress of Theoretical Physics Vol. 33 No. 2 (1965) pp. 238-250 :
    Structure of the Two-Pion-Exchange Contribution in Nucleon-Nucleon Scattering
    Susumu Furuichi and Minoru Yonezawa
  4. Progress of Theoretical Physics Vol. 40 No. 3 (1968) pp. 523-537 :
    Experimental Estimate for the Left-Hand-Cut Contributions in Nucleon-Nucleon Scattering
    Susumu Furuich, Hiroshi Suemitsu, Wataro Watari and Minoru Yonezawa

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