Determination of the pi N scattering lengths from pionic hydrogen - INSPIRE

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Determination of the pi N scattering lengths from pionic hydrogen

1999

5 pages

Published in:

Phys.Lett.B 469 (1999) 25-29

DOI:

10.1016/S0370-2693(99)01237-X

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Abstract: (Elsevier)

The final results from the pionic hydrogen X-ray experiment at PSI are presented. With this experiment the strong interaction energy level shift ε 1s and the total decay width Γ 1s of the 1s state of pionic hydrogen were obtained from a precise measurement of the 3p–1s X-ray line: ε 1s =−7.108±0.013(stat.)±0.034(syst.) eV (attractive) and Γ 1s = 0.868±0.040(stat.)±0.038(syst.) eV. The corresponding hadronic π N s-wave scattering lengths for elastic scattering and single charge exchange are: a π − p→π − p =0.0883±0.0008 m −1 π and a π − p→π 0 n =−0.128±0.006 m −1 π . Combining the results of the pionic hydrogen and deuterium measurements, the isoscalar ( b 0 ) and isovector ( b 1 ) scattering lengths, corresponding to an isospin symmetric interaction, can be calculated: b 0 =0.0016±0.0013 m −1 π and b 1 =−0.0868±0.0014 m −1 π .

pi: mesic atom
hydrogen: mesic atom
deuterium: mesic atom
energy levels: transition
pi nucleon: scattering length
pi p: elastic scattering
pi p: charge exchange
photon: energy spectrum
coupling constant: (2nucleon pi)
experimental results

References(26)

Figures(0)

[1]

The Strong interaction shift and width of the 1S level in pionic hydrogen

et al.

- Phys.Rev.Lett. 75 (1995) 3245-3248
•
DOI:
- 10.1103/PhysRevLett.75.3245

[2]

Phys. Rev. Lett. 74

D. Chatellard

[3]

Schröder, Ph.D. thesis, ETH Zurich, No. 11760,, unpublished

H.-Ch

[4]

Schröder et al in preparation

H.-Ch

[5]

A Remeasurement of the Panofsky Ratio

J. Spuller
(
- British Columbia U.
)
,
D. Berghofer
(
- British Columbia U.
)
,
M.D. Hasinoff
(
- British Columbia U.
)
,
R. Macdonald
(
- British Columbia U.
)
,
David F. Measday
(
- British Columbia U.
)

et al.

- Phys.Lett.B 67 (1977) 479-482
•
DOI:
- 10.1016/0370-2693(77)90449-X

[6]

Electromagnetic corrections to the S wave scattering lengths ion pionic hydrogen

- Nucl.Phys.A 609 (1996) 310-325
•
DOI:
- 10.1016/S0375-9474(96)00238-2

[7]

Energy level displacements in pi mesonic atoms

Stanley Deser
(
- Princeton, Inst. Advanced Study
)
,
M.L. Goldberger
(
- Chicago U.
)
,
K. Baumann
(
- Vienna U.
)
,
Walter E. Thirring
(
- Bern U.
)

- Phys.Rev. 96 (1954) 774-776
•
DOI:
- 10.1103/PhysRev.96.774

[8]

New precision measurement of the pionic deuterium S wave strong interaction parameters

P. Hauser
(
- PSI, Villigen
)
,
K. Kirch
(
- PSI, Villigen
)
,
L.M. Simons
(
- PSI, Villigen
)
,
G. Borchert
(
- Julich, Forschungszentrum
)
,
D. Gotta
(
- Julich, Forschungszentrum
)

et al.

- Phys.Rev.C 58 (1998) R1869-R1872
•
DOI:
- 10.1103/PhysRevC.58.R1869

[9]

A.W. Thomas
,
R.H. Landau

- Phys.Rept.C 58 (1980) 122

[10]

Coulomb Deexcitation of Mesic Hydrogen

L. Bracci
(
- Pisa U. and
- INFN, Pisa
)
,
G. Fiorentini
(
- Pisa U. and
- INFN, Pisa
)

- Nuovo Cim.A 43 (1978) 9
•
DOI:
- 10.1007/BF02729003

[11]

Experimental determination of the kinetic energy distribution of pi- p atoms in liquid hydrogen

A. Badertscher
(
- PSI, Villigen and
- Zurich, ETH and
- Zurich U.
)
,
M. Daum
(
- PSI, Villigen and
- Zurich, ETH and
- Zurich U.
)
,
R. Frosch
(
- PSI, Villigen and
- Zurich, ETH and
- Zurich U.
)
,
P.F.A. Goudsmit
(
- PSI, Villigen and
- Zurich, ETH and
- Zurich U.
)
,
W. Hajdas
(
- PSI, Villigen and
- Zurich, ETH and
- Zurich U.
)

et al.

- Phys.Lett.B 392 (1997) 278-282
•
DOI:
- 10.1016/S0370-2693(96)01545-6

[12]

A.J. Rusi El Hassani

- Z.Phys.A 351 (1995) 113

[13]

pi N scattering lengths from an analysis of new data on pionic hydrogen and deuterium atoms

- Phys.Atom.Nucl. 60 (1997) 1475-1482,
- Yad.Fiz. 60 (1997) 1620-1627

[14]

contribution to the PANIC99, XVth Particle and Nuclei International Conference, June, Uppsala, Sweden

T.E.O. Ericson
,
B. Loiseau
,
A.W. Thomas

[15]

in: A. M Bernstein, B.R. Holstein (eds.) Chiral Dynamics: Theory and Experiment p. 241

H.J. Leisi

[16]

Pion scattering lengths

Steven Weinberg
(
- UC, Berkeley
)

- Phys.Rev.Lett. 17 (1966) 616-621
•
DOI:
- 10.1103/PhysRevLett.17.616

[17]

Pion - nucleon scattering in chiral perturbation theory. 1. Isospin symmetric case

Nadia Fettes
(
- Julich, Forschungszentrum
)
,
Ulf-G. Meissner
(
- Julich, Forschungszentrum
)
,
Sven Steininger
(
- Julich, Forschungszentrum and
- Bonn U.
)

- Nucl.Phys.A 640 (1998) 199-234
•
e-Print:
- hep-ph/9803266
•
DOI:
- 10.1016/S0375-9474(98)00452-7

[18]

Application of Dispersion Relations to Pion-Nucleon Scattering

M.L. Goldberger
(
- Illinois U., Chicago
)
,
H. Miyazawa
(
- Illinois U., Chicago
)
,
R. Oehme
(
- Illinois U., Chicago
)

- Phys.Rev. 99 (1955) 986-988
•
DOI:
- 10.1103/PhysRev.99.986

[19]

On the Goldberger-Miyazawa-Oehme sum rule

Ron L. Workman
(
- Virginia Tech.
)
,
Richard A. Arndt
(
- Virginia Tech.
)
,
Marcello M. Pavan
(
- British Columbia U.
)

- Phys.Rev.Lett. 68 (1992) 1653-1655,
- Phys.Rev.Lett. 68 (1992) 2712 (erratum)
•
DOI:
- 10.1103/PhysRevLett.68.1653

[20]

Decay of the pi meson

- Phys.Rev. 110 (1958) 1178-1184
•
DOI:
- 10.1103/PhysRev.110.1178

[21]

- Eur.Phys.J.C 3 (1998) 622

[22]

Pseudoscalar - Meson Decay Constants: in Review of Particle Physics (RPP 1998)

M. Suzuki
(
- LBL, Berkeley
)

- Eur.Phys.J.C 3 (1998) 353-354

[23]

Experimental results in pion-nucleon scattering: QCD symmetry tests, in: D. Graudenz (Ed PSI Proceedings 98-02, December, ISSN 1019-6447, p. 33

H.J. Leisi

[24]

in: H. Schopper (Ed Landolt-Börnstein Berlin,, vol. 9b2

G. Höhler

[25]

Extracting the Pion - Nucleon $\Sigma$ Term From Data

- Phys.Lett.B 213 (1988) 85-90
•
DOI:
- 10.1016/0370-2693(88)91052-0

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