A collective-coordinate quantization of skyrmions and pion-nucleon scattering

Tamio Ikehashi; Koichi Ohta

doi:10.1016/0375-9474(92)90111-V

A collective-coordinate quantization of skyrmions and pion-nucleon scattering

Tamio Ikehashi, Koichi Ohta

Graduate School of Information, Production and Systems

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

We present a canonical quantization of skyrmions which enables us to calculate higher-order pion-nucleon scattering amplitudes as well as Born amplitudes. The subsidiary conditions imposed on the quantum field and its conjugate momentum are chosen in such a way that all infrared singurarities associated with the zero-frequency modes are eliminated from both these fields. We show that the Born terms with recoil corrections are reproduced by the pion-baryon quadratic interaction of O(N_c⁰) and the pion-baryon linear interaction of O(N_c^{- 1 2}).

Original language	English
Pages (from-to)	521-547
Number of pages	27
Journal	Nuclear Physics, Section A
Volume	536
Issue number	3-4
DOIs	https://doi.org/10.1016/0375-9474(92)90111-V
Publication status	Published - 1992 Jan

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ASJC Scopus subject areas

Nuclear and High Energy Physics

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Ikehashi, T., & Ohta, K. (1992). A collective-coordinate quantization of skyrmions and pion-nucleon scattering. Nuclear Physics, Section A, 536(3-4), 521-547. https://doi.org/10.1016/0375-9474(92)90111-V

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AB - We present a canonical quantization of skyrmions which enables us to calculate higher-order pion-nucleon scattering amplitudes as well as Born amplitudes. The subsidiary conditions imposed on the quantum field and its conjugate momentum are chosen in such a way that all infrared singurarities associated with the zero-frequency modes are eliminated from both these fields. We show that the Born terms with recoil corrections are reproduced by the pion-baryon quadratic interaction of O(Nc0) and the pion-baryon linear interaction of O(Nc- 1 2).

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10.1016/0375-9474(92)90111-V