A critical test of models for the low energy pi n amplitude - INSPIRE

DataBETA

A critical test of models for the low energy pi n amplitude

1972

30 pages

Published in:

Nucl.Phys.B 39 (1972) 237-266

Published: 1972

DOI:

10.1016/0550-3213(72)90372-0

View in:

OSTI Information Bridge Server

reference search123 citations

Citations per year

Abstract: (Elsevier)

Starting from fixed- t dispersion relations, phase shifts and total cross sections, the coefficients of an expansion of the invariant πN-amplitudes at the crossing symmetry point are calculated, considering the nucleon pole term and the Δ(1232)-exchange contribution separately. A similar calculation is made for an expansion at threshold. The results are compared with predictions from models based on Ward identities and phenomenological Lagrangians. Limitations and ambiguities of treating Δ-exchange by a pole term are discussed and the magnitude of effects is estimated, which are not included in the models. In many cases our conclusions differ from those of earlier authors.

pi nucleon: interaction
interaction: pi nucleon
model: field theory
symmetry: crossing
delta(1236): exchange
exchange: delta(1236)
pi: total cross section
total cross section: pi
partial wave
dispersion relation: chew-goldberger-low-nambu

References(62)

Figures(0)

[1]

and references given there

K. Raman

- Phys.Rev. 164 (1967) 1736

[2]

Current-Algebra Determination of Low-Energy Pion-Nucleon Scattering

Howard J. Schnitzer
(
- Brandeis U.
)

- Phys.Rev. 158 (1967) 1471-1479
•
DOI:
- 10.1103/PhysRev.158.1471

[3]

C. Carreras
,
A. De Rujula

- Nuovo Cim. 64 (1969) 1014

[4]

D.A. Wray

- Annals Phys. 51 (1969) 162

[5]

Ward-identity techniques and low-energy pion-nucleon scattering

E.T. Osypowski
(
- Wisconsin U., Madison
)

- Nucl.Phys.B 21 (1970) 615-658
•
DOI:
- 10.1016/0550-3213(70)90549-3

[6]

Rho meson in low-energy pion-nucleon scattering

J.C. Huang
(
- ICTP, Trieste
)
,
J.R. Urani
(
- Missouri U., Kansas City
)

- Phys.Rev.D 1 (1970) 877-882
•
DOI:
- 10.1103/PhysRevD.1.877

[7]

Ward identities, dispersion relations and duality for pi n scattering at low energies

G. Hoehler
(
- Karlsruhe U. and
- Bielefeld U.
)
,
P. Stichel
(
- Karlsruhe U. and
- Bielefeld U.
)

- Z.Phys. 245 (1971) 387-410
•
DOI:
- 10.1007/BF01395280

[8]

Lagrangian method for chiral symmetries

J. Wess
(
- New York U.
)
,
Bruno Zumino
(
- New York U.
)

- Phys.Rev. 163 (1967) 1727-1735
•
DOI:
- 10.1103/PhysRev.163.1727

[9]

Chiral lagrangian calculation of pion-nucleon scattering lengths

R.D. Peccei
(
- MIT, LNS
)

- Phys.Rev. 176 (1968) 1812-1821
•
DOI:
- 10.1103/PhysRev.176.1812

[10]

Pion-nucleon scattering lengths

- Phys.Rev. 177 (1969) 2529-2530
•
DOI:
- 10.1103/PhysRev.177.2529

[10]

Low-energy pion-nucleon scattering phase shifts

- Phys.Rev. 181 (1969) 2091-2094
•
DOI:
- 10.1103/PhysRev.181.2091

[11]

Chiral-symmetric meson-nucleon lagrangians

G. Kramer
(
- Argonne
)

- Phys.Rev. 177 (1969) 2515-2528
•
DOI:
- 10.1103/PhysRev.177.2515

[12]

Method of pole dominance and applications

J.H. Schwarz
(
- Princeton U.
)

- Phys.Rev. 175 (1968) 1852-1864
•
DOI:
- 10.1103/PhysRev.175.1852

[13]

Determination of Pion-Nucleon Parameters and Phase Shifts by Dispersion Relations

J. Hamilton
(
- University Coll. London
)
,
W.S. Woolcock
(
- Queensland U.
)

- Rev.Mod.Phys. 35 (1963) 737-787
•
DOI:
- 10.1103/RevModPhys.35.737

[14]

Effective range parameter in s-wave pion nucleon scattering

- Z.Phys. 242 (1971) 167-178
•
DOI:
- 10.1007/BF01394827

[15]

Sum rules for the axial vector coupling constant renormalization in beta decay

Stephen L. Adler
(
- Harvard U.
)

- Phys.Rev. 140 (1965) B736,
- Phys.Rev. 149 (1966) 1294 (erratum),
- Phys.Rev. 175 (1968) 2224 (erratum),
•
DOI:
- 10.1103/PhysRev.140.B736

[16]

Application of Dispersion Relations to Low-Energy Meson-Nucleon Scattering

G.F. Chew
(
- Illinois U., Urbana and
- Princeton, Inst. Advanced Study
)
,
M.L. Goldberger
(
- Chicago U.
)
,
F.E. Low
(
- Illinois U., Urbana and
- MIT
)
,
Y. Nambu
(
- Chicago U.
)

- Phys.Rev. 106 (1957) 1337-1344
•
DOI:
- 10.1103/PhysRev.106.1337

[17]

Is a subtraction really necessary in the isospin even pi n dispersion relation?

G. Hoehler
(
- Karlsruhe U.
)
,
R. Strauss
(
- Karlsruhe U.
)

- Z.Phys. 232 (1970) 205-222
•
DOI:
- 10.1007/BF01391518

[18]

A new determination of the pi n coupling constant f-squared

- Z.Phys. 229 (1969) 217-223
•
DOI:
- 10.1007/BF01396248

[19]

G. Höhler
,
R. Strauss

- Z.Phys. 204 (1967) 419

[20]

Discrepancies between pi n charge exchange forward scattering data and the dispersion relation prediction

G. Hoehler
(
- Karlsruhe U.
)
,
R. Strauss
(
- Karlsruhe U.
)

- Z.Phys. 240 (1970) 377-391
•
DOI:
- 10.1007/BF01395574

[21]

Partial-Wave Dispersion Relations for the Process π+π→N+N¯

William R. Frazer
(
- LBL, Berkeley
)
,
Jose R. Fulco
(
- LBL, Berkeley
)

- Phys.Rev. 117 (1960) 1603-1609
•
DOI:
- 10.1103/PhysRev.117.1603

[22]

Dispersion relation methods in strong interactions

D. Amati
,
S. Fubini

- Ann.Rev.Nucl.Part.Sci. 12 (1962) 359-434
•
DOI:
- 10.1146/annurev.ns.12.120162.002043

[23]

Universal vector and axial vector interaction theory for strong interactions

- Phys.Rev.Lett. 20 (1968) 79-82
•
DOI:
- 10.1103/PhysRevLett.20.79

[24]

The pi-n partial waves at low energies and in the unphysical region

- Z.Phys. 221 (1969) 134-140
•
DOI:
- 10.1007/BF01392138

1-25 of 62
1
2
3
25 / page