Analysis of the Constraints and Correlations the Roy Equations Impose on S-Wave and P Wave Pion Pion Scattering

Epele, L.; Wanders, G.

doi:10.1016/0370-2693(78)90146-6

Analysis of the Constraints and Correlations the Roy Equations Impose on S-Wave and P Wave Pion Pion Scattering

L. Epele
(
- Lausanne U.
)
,
G. Wanders
(
- Lausanne U.
)

Oct, 1977

4 pages

Published in:

Phys.Lett.B 72 (1978) 390-393

Published: 1978

DOI:

10.1016/0370-2693(78)90146-6

Report number:

Print-77-0882 (LAUSANNE)

View in:

ADS Abstract Service

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Abstract: (Elsevier)

The solutions of the S- and P-wave Roy equations which are infinitesimally close to the physical solutions are analysed. This gives an insight into the deviations from the physical phase shifts which are allowed by analyticity and crossing symmetry.

PI PI: INTERACTION
INTERACTION: PI PI
PARTIAL WAVE: SCATTERING AMPLITUDE
SCATTERING AMPLITUDE: PARTIAL WAVE
MATHEMATICS: ROY EQUATIONS
PARTIAL-WAVE ANALYSIS
ANALYTIC PROPERTIES
SYMMETRY: CROSSING
NUMERICAL CALCULATIONS

References(7)

Figures(0)

On the Manifold of Solutions of Roy's Equations for Pion Pion Scattering: The Neighborhood of the Physical P Wave

C. Pomponiu
(
- Lausanne U.
)
,
G. Wanders
(
- Lausanne U.
)

- Nucl.Phys.B 103 (1976) 172-188
•
DOI:
- 10.1016/0550-3213(76)90013-4

Exact integral equation for pion pion scattering involving only physical region partial waves

S.M. Roy
(
- CERN
)

- Phys.Lett.B 36 (1971) 353-356
•
DOI:
- 10.1016/0370-2693(71)90724-6

Crossing and physical partial-wave amplitudes

- Nuovo Cim.A 7 (1972) 363-396
•
DOI:
- 10.1007/BF02832836

Construction of Phenomenological pi pi Amplitudes

- Nucl.Phys.B 72 (1974) 413-453
•
DOI:
- 10.1016/0550-3213(74)90152-7

Physical pion pion partial-wave equations based on three channel crossing symmetry

G. Mahoux
(
- DAPNIA, Saclay and
- Tata Inst. and
- Lausanne U.
)
,
S.M. Roy
(
- DAPNIA, Saclay and
- Tata Inst. and
- Lausanne U.
)
,
G. Wanders
(
- DAPNIA, Saclay and
- Tata Inst. and
- Lausanne U.
)

- Nucl.Phys.B 70 (1974) 297-316
•
DOI:
- 10.1016/0550-3213(74)90480-5

$\pi\pi$ Phase Shift Analysis from 600-MeV to 1900-MeV

B. Hyams
(
- CERN
)
,
C. Jones
(
- CERN
)
,
P. Weilhammer
(
- CERN
)
,
W. Blum
(
- Munich, Max Planck Inst.
)
,
H. Dietl
(
- Munich, Max Planck Inst.
)

et al.

- Nucl.Phys.B 64 (1973) 134-162
•
DOI:
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A Study of pi- pi- scattering from pi- p interactions at 3.93-GeV/c

et al.

- Nucl.Phys.B 69 (1974) 185-204
•
DOI:
- 10.1016/0550-3213(74)90131-X

Analysis of the Constraints and Correlations the Roy Equations Impose on S-Wave and P Wave Pion Pion Scattering

Citations per year

On the Manifold of Solutions of Roy's Equations for Pion Pion Scattering: The Neighborhood of the Physical P Wave

Exact integral equation for pion pion scattering involving only physical region partial waves

Crossing and physical partial-wave amplitudes

Construction of Phenomenological pi pi Amplitudes

Physical pion pion partial-wave equations based on three channel crossing symmetry

ππ\pi\piππ Phase Shift Analysis from 600-MeV to 1900-MeV

A Study of pi- pi- scattering from pi- p interactions at 3.93-GeV/c

$\pi\pi$ Phase Shift Analysis from 600-MeV to 1900-MeV