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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0375-9474(92)90111-V

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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(Nc0) and the pion-baryon linear interaction of O(Nc- 1 2).",

author = "Tamio Ikehashi and Koichi Ohta",

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T1 - A collective-coordinate quantization of skyrmions and pion-nucleon scattering

AU - Ikehashi, Tamio

AU - Ohta, Koichi

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Y1 - 1992/1

N2 - 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).

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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JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

IS - 3-4

ER -

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

Abstract

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