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

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

Access to Document

10.1016/0375-9474(92)90111-V

Cite this

@article{d6923b1c01ae4c0abc21d0c9c8e61ed1,

title = "A collective-coordinate quantization of skyrmions and pion-nucleon scattering",

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",

year = "1992",

month = jan,

doi = "10.1016/0375-9474(92)90111-V",

language = "English",

volume = "536",

pages = "521--547",

journal = "Nuclear Physics A",

issn = "0375-9474",

publisher = "Elsevier",

number = "3-4",

}

TY - JOUR

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

AU - Ikehashi, Tamio

AU - Ohta, Koichi

PY - 1992/1

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).

UR - http://www.scopus.com/inward/record.url?scp=44049124280&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=44049124280&partnerID=8YFLogxK

U2 - 10.1016/0375-9474(92)90111-V

DO - 10.1016/0375-9474(92)90111-V

M3 - Article

AN - SCOPUS:44049124280

VL - 536

SP - 521

EP - 547

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

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this