Sommerfeld-Watson representation for double-spectral functions - III. Crossing symmetric pion-pion scattering amplitude with Regge poles

D. Atkinson; M. Kaekebeke; J. S. Frederiksen; P. W. Johnson

doi:10.1007/BF01609052

Sommerfeld-Watson representation for double-spectral functions - III. Crossing symmetric pion-pion scattering amplitude with Regge poles

D. Atkinson, M. Kaekebeke, J. S. Frederiksen, P. W. Johnson

Research output: Contribution to journal › Article › Other

7 Citations (Scopus)

Abstract

We demonstrate the existence of a solution of the nonlinear pion-pion equations that incorporate crossing symmetry, unitarity and l-plane meromorphy. In particular, we show how to guarantee the boundedness of the partial waves as s→∞, even when some Regge trajectories rise beyond unity.

Original language	English
Pages (from-to)	67-84
Number of pages	18
Journal	Communications in Mathematical Physics
Volume	51
Issue number	1
DOIs	https://doi.org/10.1007/BF01609052
Publication status	Published - Feb 1976
Externally published	Yes

Access to Document

10.1007/BF01609052

Link to publication in Scopus

Cite this

@article{ea16a917943c4f48b957777a7f74eb04,

title = "Sommerfeld-Watson representation for double-spectral functions - III. Crossing symmetric pion-pion scattering amplitude with Regge poles",

abstract = "We demonstrate the existence of a solution of the nonlinear pion-pion equations that incorporate crossing symmetry, unitarity and l-plane meromorphy. In particular, we show how to guarantee the boundedness of the partial waves as s→∞, even when some Regge trajectories rise beyond unity.",

author = "D. Atkinson and M. Kaekebeke and Frederiksen, {J. S.} and Johnson, {P. W.}",

year = "1976",

month = feb,

doi = "10.1007/BF01609052",

language = "English",

volume = "51",

pages = "67--84",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer-Verlag London Ltd.",

number = "1",

}

TY - JOUR

T1 - Sommerfeld-Watson representation for double-spectral functions - III. Crossing symmetric pion-pion scattering amplitude with Regge poles

AU - Atkinson, D.

AU - Kaekebeke, M.

AU - Frederiksen, J. S.

AU - Johnson, P. W.

PY - 1976/2

Y1 - 1976/2

N2 - We demonstrate the existence of a solution of the nonlinear pion-pion equations that incorporate crossing symmetry, unitarity and l-plane meromorphy. In particular, we show how to guarantee the boundedness of the partial waves as s→∞, even when some Regge trajectories rise beyond unity.

AB - We demonstrate the existence of a solution of the nonlinear pion-pion equations that incorporate crossing symmetry, unitarity and l-plane meromorphy. In particular, we show how to guarantee the boundedness of the partial waves as s→∞, even when some Regge trajectories rise beyond unity.

UR - http://www.scopus.com/inward/record.url?scp=34250384743&partnerID=8YFLogxK

U2 - 10.1007/BF01609052

DO - 10.1007/BF01609052

M3 - Article

AN - SCOPUS:34250384743

VL - 51

SP - 67

EP - 84

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -