Dispersion relations for electroproduction partial-wave amplitudes - INSPIRE

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Dispersion relations for electroproduction partial-wave amplitudes

G. Von Gehlen
(
- Heidelberg U.
)

1969

38 pages

Published in:

Nucl.Phys.B 9 (1969) 17-54

Published: 1969

DOI:

10.1016/0550-3213(69)90153-9

View in:

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Abstract: (Elsevier)

From fixed- t dispersion relations we derive a set of integral equations for the electroproduction partial wave amplitudes. The kernels which couple the different equations are calculated explicity. The calculation is made possible with reasonable amount of labour by using parity conserving helicity amplitudes and by taking advantage of the MacDowell reflection symmetry. We are able to separate the kernels explicity into a simple singular diagonal part and a complicated remainder which is regular in the physical region. Care is taken of the fact that the conventional relativistic amplitudes A 2 and A 5 contain a kinematic pole at t = μ 2 . A method for solving the equations is briefly discussed.

dispersion relation
pion: electroproduction
electroproduction: pion
partial wave
kinematics
analytic properties
electron-nucleon: interaction
interaction: electron-nucleon

References(37)

Figures(0)

[1]

Measurement of the Pion Form Factor

C.W. Akerlof
(
- Cornell U., LNS
)
,
W.W. Ash
(
- Cornell U., LNS
)
,
K. Berkelman
(
- Cornell U., LNS
)
,
C.A. Lichtenstein
(
- Cornell U., LNS
)
,
A. Ramanauskas
(
- Cornell U., LNS
)

et al.

- Phys.Rev. 163 (1967) 1482-1497
•
DOI:
- 10.1103/PhysRev.163.1482

[Mistretta et al, 1967]

C. Mistretta
,
D. Imrie
,
J.A. Appel
,
R. Budnitz
,
L. Carroll

et al.

- Phys.Rev.Lett. 20 (1968) 1070

[Mistretta et al, 1967]

Inelastic Electron Scattering from Protons

- Phys.Rev. 164 (1967) 1635-1654
•
DOI:
- 10.1103/PhysRev.164.1635

[Mistretta et al, 1967]

Soft pion emission induced by electromagnetic and weak interactions

- Phys.Rev. 128 (1962) 862-868,
•
DOI:
- 10.1103/PhysRev.128.862

[Mistretta et al, 1967]

Proc. Int. Conf. on weak interactions

S.L. Adler

[Mistretta et al, 1967]

Riazzuddin
,
B.W. Lee

- Phys.Rev. 146 (1966) B1202

[Mistretta et al, 1967]

G. Furlan
,
R. Jengo
,
E. Remiddi

- Nuovo Cim. 44 (1966) 427

[3]

Dispersion Theory Treatment of Pion Production in Electron-Nucleon Collisions

- Phys.Rev. 111 (1958) 329-336
•
DOI:
- 10.1103/PhysRev.111.329

[4]

Theory of the Electro- and Photoproduction of pi Mesons

Philippe Dennery
(
- CERN
)

- Phys.Rev. 124 (1961) 2000-2010
•
DOI:
- 10.1103/PhysRev.124.2000

[5]

N. Zagury

- Phys.Rev. 145 (1966) 1112

[5]

N. Zagury

- Phys.Rev. 150 (1966) 1406

[5]

Photoproduction and Electroproduction of Pions in the Region of N* (1238)

N. Zagury

- Phys.Rev. 165 (1968) 1934-1934
•
DOI:
- 10.1103/PhysRev.165.1934

[5]

N. Zagury

- Nuovo Cim.A 52 (1967) 506

[6]

D. Schwela
,
H. Rollnik
,
R. Weizel
,
W. Korth

- Z.Phys. 202 (1967) 452

[7]

F. Gutbrod
,
D. Simon

- Nuovo Cim.A 51 (1967) 602

[8]

Salin
,
Ph.

- Nuovo Cim. 32 (1964) 521

[9]

J.P. Loubaton

- Nuovo Cim. 39 (1965) 591

[10]

Model for Electron Excitation of the Nucleon

J.D. Walecka
(
- Stanford U., Phys. Dept.
)

- Phys.Rev. 162 (1967) 1462-1478
•
DOI:
- 10.1103/PhysRev.162.1462

[10]

Model for Electron Excitation of the Nucleon. 2.

- Phys.Rev. 168 (1968) 1638-1661,
- Phys.Rev.D 4 (1971) 1582-1582 (erratum)
•
DOI:
- 10.1103/PhysRev.168.1638

[10]

ELECTROPRODUCTION OF NUCLEON RESONANCES

J.D. Bjorken
(
- SLAC
)
,
J.D. Walecka
(
- Stanford U., ITP
)

- Annals Phys. 38 (1966) 35-62
•
DOI:
- 10.1016/0003-4916(66)90250-8

[11]

Proc. Heidelberg Int. Conf. on elementary particles

H. Rollnik

[12]

Some general relations between the photoproduction and scattering of pi mesons

Kenneth M. Watson
(
- Wisconsin U., Madison
)

- Phys.Rev. 95 (1954) 228-236
•
DOI:
- 10.1103/PhysRev.95.228

[12]

K. Aizu

[12]

Nuovo Cim.

E. Fermi

[13]

A. Donnachie
,
G. Shaw

- Annals Phys. 37 (1966) 333

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