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Prog. Theor. Phys. Vol. 41 No. 3 (1969) pp. 723-729

[ Full Text PDF : FREE ACCESS (393K) ]

Pion-Nucleon Low Energy Parameters from Dispersion Relations for Inverse Forward Amplitude

Osamu Miyamura and Fujio Takagi

Department of Physics, Tohoku University, Sendai

(Received November 25, 1968)

Abstract:

The dispersion relations for the inverse of the crossing-even πN forward amplitude M(+)(ν) are derived and used together with ordinary ones to determine the πN low energy parameters provided that g2/4π= 14.6 and a1 + 2a3 < 0. The results are a1 - a3 = 0.296 ±0.0066µ-1, a1 + 2a3 = -0.035 ±0.017µ-1, g2/4πm - M(+)(0) = 0.819 ±0.046 BeV-1, λ= 0.305 ±0.04µ and ilim (ν- iλ)/M(+)(ν) = (24.10 ±0.86) ×10-3 BeV2, where M(+)(± iλ) = 0, ν the lab. energy of the incident pion, and µ the mass of the pion. Combining our results with Sato's sum rule for σπN(∞), we get σπN(∞) = 18.8 ±1.8 mb which is in excellent agreement with our previous result obtained from Igi's sum rule for the P and P′ Regge parameters.


URL : http://ptp.ipap.jp/link?PTP/41/723/
DOI : 10.1143/PTP.41.723

[ Full Text PDF : FREE ACCESS (393K) ] Citation:

References:

  1. V. K. Samaranayake and W. S. Woolcock, Phys. Rev. Lett. 15 (1965), 936[APS].
  2. H. Sato, Prog. Theor. Phys. 39 (1968), 1219[PTP].
  3. O. Miyamura and F. Takagi, Prog. Theor. Phys. 39 (1968), 1000[PTP].
  4. K. Igi, Phys. Rev. Lett. 9 (1962), 76[APS].
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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 45 No. 1 (1971) pp. 322-324 :
    Totale Wirkungsquerschnitte für akausale Pion-Nukleon-Streuung im Hochenergiebereich
    Matsuo Sekine

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