Born amplitudes and seagull term in meson-soliton scattering

Y. G. Liang; B. A. Li; K. F. Liu; R. K. Su

doi:10.1016/0370-2693(90)90969-D

Born amplitudes and seagull term in meson-soliton scattering

Y. G. Liang
, B. A. Li
, K. F. Liu
, R. K. Su

Physics And Astronomy

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

6 Scopus citations

Abstract

The meson-soliton scattering for the {circled division slash}⁴ theory in 1 + 1 dimensions is calculated. We show that when the seagull term from the equal time commutator is included in addition to the Born amplitudes, the t-matrix from the reduction formula approach is identical to that of the potential scattering with small quantum fluctuations to leading order in weak coupling. The seagull term is equal to the Born term in the potential scattering. This confirms the speculation that the leading order Yukawa coupling is derivable from the classical soliton.

Original language	English
Pages (from-to)	133-140
Number of pages	8
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	243
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(90)90969-D
State	Published - Jun 21 1990

Funding

R.K.S. thanksa ll the memberosf the theoryg roupa t the Universityo f Kentuckyf or their hospitalityT. his work is supporteids partb y DOE Grant DE-FG05-84ER40154.

Funders	Funder number
U.S. Department of Energy	DE-FG05-84ER40154

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/0370-2693(90)90969-D

Cite this

@article{584c15e3b88544808d797f75154e2da8,

title = "Born amplitudes and seagull term in meson-soliton scattering",

abstract = "The meson-soliton scattering for the \{circled division slash\}4 theory in 1 + 1 dimensions is calculated. We show that when the seagull term from the equal time commutator is included in addition to the Born amplitudes, the t-matrix from the reduction formula approach is identical to that of the potential scattering with small quantum fluctuations to leading order in weak coupling. The seagull term is equal to the Born term in the potential scattering. This confirms the speculation that the leading order Yukawa coupling is derivable from the classical soliton.",

author = "Liang, \{Y. G.\} and Li, \{B. A.\} and Liu, \{K. F.\} and Su, \{R. K.\}",

year = "1990",

month = jun,

day = "21",

doi = "10.1016/0370-2693(90)90969-D",

language = "English",

volume = "243",

pages = "133--140",

number = "1-2",

}

TY - JOUR

T1 - Born amplitudes and seagull term in meson-soliton scattering

AU - Liang, Y. G.

AU - Li, B. A.

AU - Liu, K. F.

AU - Su, R. K.

PY - 1990/6/21

Y1 - 1990/6/21

N2 - The meson-soliton scattering for the {circled division slash}4 theory in 1 + 1 dimensions is calculated. We show that when the seagull term from the equal time commutator is included in addition to the Born amplitudes, the t-matrix from the reduction formula approach is identical to that of the potential scattering with small quantum fluctuations to leading order in weak coupling. The seagull term is equal to the Born term in the potential scattering. This confirms the speculation that the leading order Yukawa coupling is derivable from the classical soliton.

AB - The meson-soliton scattering for the {circled division slash}4 theory in 1 + 1 dimensions is calculated. We show that when the seagull term from the equal time commutator is included in addition to the Born amplitudes, the t-matrix from the reduction formula approach is identical to that of the potential scattering with small quantum fluctuations to leading order in weak coupling. The seagull term is equal to the Born term in the potential scattering. This confirms the speculation that the leading order Yukawa coupling is derivable from the classical soliton.

UR - https://www.scopus.com/pages/publications/0011023779

UR - https://www.scopus.com/pages/publications/0011023779#tab=citedBy

U2 - 10.1016/0370-2693(90)90969-D

DO - 10.1016/0370-2693(90)90969-D

M3 - Article

AN - SCOPUS:0011023779

SN - 0370-2693

VL - 243

SP - 133

EP - 140

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -

Born amplitudes and seagull term in meson-soliton scattering

Abstract

Funding

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this