Isospin violation in the pi N system at low-energies

Matsinos, E.

doi:10.1103/PhysRevC.56.3014

Isospin violation in the pi N system at low-energies

E. Matsinos
(
- Zurich, ETH
)

Jun, 1997

26 pages

Published in:

Phys.Rev.C 56 (1997) 3014-3025

DOI:

10.1103/PhysRevC.56.3014

Report number:

ETHZ-IPP-PR-97-02

View in:

pdf

reference search78 citations

Citations per year

Abstract: (APS)

The low-energy πN interaction is investigated with the use of a relativistic isospin-symmetric πN model based on scalar-isoscalar and vector-isovector exchanges in the t channel, and the nucleon and Δ-isobar contributions in the s and u channels; the small contributions from the well-established s and p higher (baryon) resonances are also taken into account. In the region of elasticity, the model provides a firm basis for analyzing the experimental data. The analysis of all (recent and old) πN measurements between (pion laboratory kinetic energy of) 20 and 100 MeV has been achieved with the implementation of robust statistics. Provided the correctness of the bulk of the experimental data and the completeness of the electromagnetic corrections applied to the scattering problem, this work provides overwhelming evidence for isospin-symmetry breaking of the strong interaction in the πN system.

pi+ p: elastic scattering
pi- p: elastic scattering
pi- p: charge exchange
isospin: violation
effective Lagrangian
Feynman graph
tree approximation
pi nucleon: scattering length
statistical analysis
partial wave

References(64)

Figures(0)

Chiral prediction for the pi N S wave scattering length a- to order O(M(pi)(4))

- Phys.Rev.C 52 (1995) 2185-2187,
- Phys. Rev. C52 (1995) 2185-2187, and Strasbourg Cent. Nucl. Res. - CRN-95-23 (95/06,rec.Jun.) 7 p. Bonn U. - TK-95-14 (95/06,rec.Jun.) 7 p
•
e-Print:
- hep-ph/9506204
•
DOI:
- 10.1103/PhysRevC.52.2185

The Extended tree level model for the pion - nucleon interaction

P.F.A. Goudsmit
(
- Zurich, ETH
)
,
H.J. Leisi
(
- Zurich, ETH
)
,
E. Matsinos
(
- Zurich, ETH
)
,
B.L. Birbrair
(
- St. Petersburg, INP
)
,
A.B. Gridnev
(
- St. Petersburg, INP
)

- Nucl.Phys.A 575 (1994) 673-706
•
DOI:
- 10.1016/0375-9474(94)90162-7

Low-Energy pi N Partial Wave Analysis

R. Koch
(
- Karlsruhe U.
)
,
E. Pietarinen
(
- Karlsruhe U.
)

- Nucl.Phys.A 336 (1980) 331-346,
- Nucl.Phys.A336 (1980) 331-346 and Karlsruhe Univ - TKP 79-14 (79,REC.OCT) 23p
•
DOI:
- 10.1016/0375-9474(80)90214-6

Review of particle physics. Particle Data Group

et al.

- Phys.Rev.D 54 (1996) 1, 1-720
•
DOI:
- 10.1103/PhysRevD.54.1

Pi p elastic scattering from 88 to 292 mev

P.J. Bussey
(
- Glasgow U.
)
,
J.R. Carter
(
- Cambridge U., DAMTP
)
,
D.R. Dance
(
- Cambridge U., DAMTP
)
,
D.V. Bugg
(
- Queen Mary, U. of London
)
,
A.A. Carter
(
- Queen Mary, U. of London
)

et al.

- Nucl.Phys.B 58 (1973) 363-377
•
DOI:
- 10.1016/0550-3213(73)90589-0

MEASUREMENT OF LOW-ENERGY ELASTIC PI+- P DIFFERENTIAL CROSS-SECTIONS

et al.

- Phys.Rev.D 28 (1983) 1569-1585,
- In *Ericson, T.E.O. et al.: The meson factories* 263-275
•
DOI:
- 10.1103/PhysRevD.28.1569

$\pi P$ Elastic Scattering From 67-{MeV} to 139-{MeV}

et al.

- Phys.Rev.C 34 (1986) 1771-1778,
- Phys. Rev. C34 ( 1986) 1771-1778
•
DOI:
- 10.1103/PhysRevC.34.1771

LARGE ANGLE pi+ p ELASTIC SCATTERING AT 66.8-MeV

et al.

- Phys.Rev.C 38 (1988) 2427-2431,
- PHYS. REV. C38 (1988) 2427-2431 AND VANCOUVER TRIUMF - TRI-PP-88-024 (88,REC.AUG.) 10p
•
DOI:
- 10.1103/PhysRevC.38.2427

Hidden Strangeness in the Proton? Determination of the Real Part of the Isospin Even - Forward Scattering Amplitude of Pion Nucleon Scattering at 54.3-{MeV}

U. Wiedner
(
- Karlsruhe U., EKP and
- Karlsruhe U.
)
,
K. Goring
(
- Karlsruhe U., EKP and
- Karlsruhe U.
)
,
J. Jaki
(
- Karlsruhe U., EKP and
- Karlsruhe U.
)
,
U. Klein
(
- Karlsruhe U., EKP and
- Karlsruhe U.
)
,
W. Kluge
(
- Karlsruhe U., EKP and
- Karlsruhe U.
)

et al.

- Phys.Rev.D 40 (1989) 3568-3581
•
DOI:
- 10.1103/PhysRevD.40.3568

Absolute Differential Cross-sections for $\pi^\pm p$ Elastic Scattering at 30 $\le T (\pi) \le 67$ -{MeV}

et al.

- Phys.Rev.C 41 (1990) 2202-2214,
- Phys. Rev. C41 (1990) 2202-2214 and Vancouver TRIUMF - TRI-PP-89-102 (89,rec.Apr.90) 19 p
•
DOI:
- 10.1103/PhysRevC.41.2202