A Local Density Scheme and a Uniquely Determined π-π Born Amplitude : Particles and Fields

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概要

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• We apply a local duality scheme to a construction of a new Born amplitude for π^--π^+ scattering. We start with the most general Veneziano-type amplitude, which contains an infinite number of parameters, and restrict it by the two conditions: 1) A local duality scheme, which includes the SU(6)⊗0(3)_L hadron spectrum of the quark model. 2) An asymptotic convergence condition. The infinite number of parameters reduces to only four by condition 1) and further to three by 2). Apart from the overall multiplying factor the amplitude has only two parameters: the Regge slope times the square of the pion mass and the zero-intercept of the trajectory. In this parameter space we determine the region which is ghost-free for all resonant states and find that the physical values are included in this region. The overall multiplying factor is adjusted by ρ⇾2π width. The predicted partial widths of low-lying resonances are in good agreement with available experiments. It also turns out that the amplitude satisfies Adler's PCAC condition in the limit of zero pion-mass. The amplitude takes two simple forms for certain values of the parameters; one is the same as the Neveu-Schwarz-Ramond amplitude and the other is quite a new one.

• 理論物理学刊行会の論文
• 1985-01-25

著者

• Sakamoto J

  Shimane Univ. Matsue Jpn

• Sakamoto J

  Food Research Laboratories Ajinomoto Co. Inc.

• SAKAMOTO Jiro

  Food Research Laboratories, Ajinomoto Co. Inc.

• Sakamoto Jiro

  Physics Department Shimane University

• INO Taketoshi

  Department of Physics, Shimane University

• Ino Taketoshi

  Department Of Physics Shimane University

• Munakata Y

  Department Of Physics Shimane University

• INO Taketoshi

  Physics Department, Shimane University

• MUNAKATA Yasuo

  Physics Department, Shimane University

• SAKAMOTO Jiro

  Department of Physics, Shimane University

• SAKAMOTO Jiro

  Physics Department, Shimane University

• MUNAKATA Yasuo

  Department of Physics, Shimane University

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