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Prog. Theor. Phys. Vol. 40 No. 2 (1968) pp. 394-402

[ Full Text PDF : FREE ACCESS (471K) ]

Reflection Symmetry of Conspiring Fermion Trajectories

Takeshi Kanki, Gaku Konisi* and Takesi Saito**

Institute of Physics, College of General Education, Osaka University, Toyonaka, Osaka
*Department of Physics, Kwansei Gakuin University, Nishinomiya
**Department of Physics, Osaka University, Toyonaka, Osaka

(Received March 30, 1968)

Abstract:

It is shown by making use of the analytic property of the Khuri amplitude near W=0, W being the c.m. energy of πN scattering, that two fermion trajectories α±(W) as well as their reduced residues β±(W), with parity ± and with the same signature, are related with each other reflection of their argument W, i.e. α+(W)=α-(-W), and β+(W)=β-(-W). This symmetry cannot be obtained from the analytic property of the partial-wave amplitude, contrary to the conventional assertion.


URL : http://ptp.ipap.jp/link?PTP/40/394/
DOI : 10.1143/PTP.40.394

[ Full Text PDF : FREE ACCESS (471K) ] Citation:

References:

  1. D. Z. Freedman and J. M. Wang, Phys. Rev. 160 (1967), 1560[APS].
    M. Toller, Nuovo Cim. 37 (1965), 631.
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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 40 No. 4 (1968) pp. 904-906 :
    Asymptotic Behavior of Infinitely Rising Baryon Trajectories
    Masakuni Ida
  2. Progress of Theoretical Physics Vol. 40 No. 5 (1968) pp. 1125-1130 :
    MacDowell Symmetry
    Takeshi Kanki
  3. Progress of Theoretical Physics Vol. 41 No. 4 (1969) pp. 1057-1063 :
    Sum Rules Based on Khuri Amplitudes and Degeneracy of Regge Trajectories
    Toshiharu Kawai and Takesi Saito
  4. Progress of Theoretical Physics Vol. 41 No. 4 (1969) pp. 1081-1093 :
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  5. Progress of Theoretical Physics Vol. 41 No. 4 (1969) pp. 1094-1108 :
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    Noboru Nakanishi and Noriaki Seto
  6. Progress of Theoretical Physics Vol. 44 No. 1 (1970) pp. 230-242 :
    Eigenchannels and Unitary Separation of Background Parts in Regge-Pole Theory
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  7. Progress of Theoretical Physics Vol. 44 No. 3 (1970) pp. 777-782 :
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  8. Progress of Theoretical Physics Vol. 48 No. 6 (1972) pp. 2346-2357 :
    Classification of Baryons in an SU(3) Regge Scheme
    Masakuni Ida
  9. Progress of Theoretical Physics Vol. 49 No. 4 (1973) pp. 1259-1270 :
    The Baryon Spectrum and Reflection Partners
    Masakuni Ida
  10. Progress of Theoretical Physics Supplement No.51 (1972) pp. 96-228 :
    Regge Pole Model and Hadron Physics
    Yasuo Hara

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