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Prog. Theor. Phys. Vol. 42 No. 6 (1969) pp. 1341-1348

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Mass and Width of Δ(1236)

Yukio Taguchi and Kunio Yamamoto*

Department of Physics, University of Osaka Prefecture, Sakai, Osaka
*Institute of Physics, College of General Education, Osaka University, Toyonaka, Osaka

(Received June 27, 1969)

Abstract:

It is pointed out that the position and the width of the peak of π-N elastic scattering in the I = J = 3/2 state differ from the mass and the width of Δ(1236) respectively, because of the effect of the “background scattering”. By taking account of this effect we obtain the mass 1214 MeV and the width 97 MeV of Δ(1236) resonance from π-N elastic scattering data alone. These values are in good agreement with those obtained in the γ+ p and K+ + p reactions. We can thus explain why the mass and the width of Δ(1236) produced in the γ+ p and the K+ + p reactions are different from the usual values. A brief discussion is made about the relation between our theory and Jackson's theory with the energy dependent width.


URL : http://ptp.ipap.jp/link?PTP/42/1341/
DOI : 10.1143/PTP.42.1341

[ Full Text PDF : FREE ACCESS (439K) ] Citation:

References:

  1. N. Barash-Schmidt et al., Rev. Mod. Phys. 41 (1969), 109[APS].
  2. R. H. Dalitz, Ann. Rev. Nucl. Sci. 13 (1963), 339.
    C. Michael, Phys. Lett. 21 (1966), 93[CrossRef]. We thank Professor M. Konuma for noticing these papers.
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    We use solution 24 (best solution) tabulated in their Table IV.
    Use of other solutions may alter Eqs. (1·3) and (1·4) only a few MeV and Eq. (1·5) only a few degrees.
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  10. This section is based on the previous work (K. Yamamoto, to be published).
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  14. Reference 2) and references quoted therein.
  15. See. Eq. (9) in Michael's work cited in reference 2).

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 44 No. 1 (1970) pp. 230-242 :
    Eigenchannels and Unitary Separation of Background Parts in Regge-Pole Theory
    Gaku Konisi and Takesi Saito
  2. Progress of Theoretical Physics Vol. 48 No. 2 (1972) pp. 553-565 :
    Unitarization and the Absorption Regge Cut in the Dual Model
    Kenji Yamagishi

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