Ground state energy of pionic hydrogen to one loop - INSPIRE

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Ground state energy of pionic hydrogen to one loop

J. Gasser
(
- Bern U.
)
,
M.A. Ivanov
(
- Dubna, JINR
)
,
E. Lipartia
(
- Lund U. and
- Dubna, JINR and
- Tbilisi State U.
)
,
M. Mojzis
(
- Massachusetts U., Amherst and
- Comenius U.
)
,
A. Rusetsky
(
- Bern U. and
- Tbilisi State U.
)

Jun, 2002

50 pages

Published in:

Eur.Phys.J.C 26 (2002) 13-34

e-Print:

hep-ph/0206068 [hep-ph]

DOI:

10.1007/s10052-002-1013-z

Report number:

BUTP-02-07

View in:

reference search152 citations

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Abstract: (arXiv)

We investigate the ground-state energy of the pi- p atom (pionic hydrogen) in the framework of QCD+QED. In particular, we evaluate the strong energy-level shift. We perform the calculation at next-to-leading order in the low-energy expansion in the framework of the relevant effective field theory. The result provides a relation between the strong energy shift and the pion-nucleon S-wave scattering lengths - evaluated in pure QCD - at next-to-leading order in isospin breaking and in the low-energy expansion. We compare our result with available model calculations.

Note:

Version accepted for publication in Eur. Phys. J. C/ Eq. (B8) corrected, comment after Eq. (B11) changed, additional minor changes in the text/ preprint number added

pi-: mesic atom
hydrogen: mesic atom
ground state: energy levels
quantum chromodynamics
quantum electrodynamics
Feynman graph: higher-order
pi- p: elastic scattering
threshold
scattering length
effective Lagrangian

References(52)

Figures(0)

Precise measurement of the positive muon anomalous magnetic moment

Muon g-2

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)

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)

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A. Gall
(
- Bern U.
)
,
J. Gasser
(
- Bern U.
)
,
Valery E. Lyubovitskij
(
- Dubna, JINR and
- Tomsk State U.
)
,
A. Rusetsky
(
- Bern U. and
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- Tbilisi State U.
)

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•
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(
- Bern U.
)
,
Valery E. Lyubovitskij
(
- Bern U. and
- Dubna, JINR and
- Tomsk State U.
)
,
A. Rusetsky
(
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- Dubna, JINR and
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)

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•
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•
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J. Gasser
(
- Bern U.
)
,
Valery E. Lyubovitskij
(
- Tubingen U. and
- Tomsk State U.
)
,
A. Rusetsky
(
- Bern U. and
- Tbilisi State U.
)
,
A. Gall
(
- SWITCH, Zurich
)

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(
- Lund U. and
- Dubna, JINR and
- Tbilisi State U.
)
,
Valery E. Lyubovitskij
(
- Tubingen U. and
- Tomsk State U.
)
,
A. Rusetsky
(
- Bern U. and
- Tbilisi State U.
)

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•
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•
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Valery E. Lyubovitskij
(
- Tubingen U. and
- Tomsk State U.
)
,
A. Rusetsky
(
- Bern U. and
- Tbilisi State U.
)

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)
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