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(Nc 0) and the pion-baryon linear interaction of O(Nc - 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 | |
| Publication status | Published - 1992 Jan 1 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
A collective-coordinate quantization of skyrmions and pion-nucleon scattering. / Ikehashi, Tamio; Ohta, Koichi.
In: Nuclear Physics, Section A, Vol. 536, No. 3-4, 01.01.1992, p. 521-547.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A collective-coordinate quantization of skyrmions and pion-nucleon scattering
AU - Ikehashi, Tamio
AU - Ohta, Koichi
PY - 1992/1/1
Y1 - 1992/1/1
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(Nc 0) 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(Nc 0) 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 -