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Related papers: Pionium lifetime corrections

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We present the O(alpha) and O(alpha^3 ln(alpha)) corrections to the total decay width of orthopositronium in closed analytic form, in terms of basic transcendental numbers, which can be evaluated numerically to arbitrary precision.

High Energy Physics - Phenomenology · Physics 2008-12-18 Bernd A. Kniehl , Anatoly V. Kotikov , Oleg L. Veretin

Non-relativisitic second-order corrections to the wave function at origin in muonic and exotic atoms are considered. The corrections are due to the electronic vacuum polarization. Such corrections are of interest due to various effective…

Atomic Physics · Physics 2014-11-04 Vladimir G. Ivanov , Evgeny Yu. Korzinin , Savely G. Karshenboim

The complete one-loop QED initial state, final state and initial--final state interference corrections to the process e+e- -> pi+pi- are presented. Analytic formulae are given for the virtual and for the real photon corrections. The total…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. Hoefer , J. Gluza , F. Jegerlehner

Pionic beta decay \pi^+ to \pi^0 e^+ \nu_e is analyzed in chiral perturbation theory with virtual photons and leptons. All electromagnetic corrections up to order e^2 p^2 are taken into account. Theoretical results are confronted with…

High Energy Physics - Phenomenology · Physics 2010-11-23 Hannes Pichl

The values of charged pion polarizabilities obtained in the framework of chiral perturbation theory at the level of two-loop accuracy are compared with the experimental result recently reported by COMPASS Collaboration. It is found that the…

High Energy Physics - Phenomenology · Physics 2015-12-09 Mikhail A. Ivanov

Positronium annihilation amplitudes that are computed by assuming a factorization approximation with on-shell intermediate leptons, do not exhibit good analytical behavior. We propose an ansatz which allows to include binding energy…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Lopez Castro , J. Pestieau , C. Smith

Chiral Perturbation Theory predicts the lifetime of pionium, a hydrogen-like $\pi^+ \pi^-$ atom, to better than 3% precision. The goal of the DIRAC experiment at CERN is to obtain and check this value experimentally by measuring the…

Atomic Physics · Physics 2009-11-10 C. Santamarina , M. Schumann , L. G. Afanasyev , T. Heim

We extend in several respects our earlier work on O(p^2) corrections to matrix elements of the electroweak penguin operator O_{ewp}. First, to facilitate comparison with certain lattice studies we calculate O(p^2) corrections to…

High Energy Physics - Phenomenology · Physics 2009-11-07 Vincenzo Cirigliano , Eugene Golowich

The perturbative framework is developed for the calculation of the pi(+)pi(-) atom characteristics on the basis of the field-theoretical Bethe-Salpeter approach. A closed expression for the first-order correction to the pi(+)pi(-) atom…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. E. Lyubovitskij , E. Z. Lipartia , A. G. Rusetsky

We give the modern derivation of Deser's formula using analytic continuation of the scattering amplitude as a function of momentum. The electromagnetic corrections to the pionium lifetime are given as evaluated in a potential model.

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Rasche , A. Gashi

A complete calculation of the corrections to pion-deuteron scattering length up to order $\chi^{3/2}$ with $\chi=m_{\pi}/M_{N}$ is performed. The calculation includes the dispersive contributions and corrections due to the explicit…

Nuclear Theory · Physics 2008-11-26 V. Baru , J. Haidenbauer , C. Hanhart , A. Kudryavtsev , V. Lensky , U. -G. Meissner

A brief discussion of the elastic pion-pion scattering amplitude to two loops in chiral perturbation theory is given. Some technical details of the evaluation of two-loop diagrams are addressed, and results relevant for the pionium decay…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. E. Sainio

A fundamental property of QCD is the presence of the chiral anomaly, which is the primary component of the $\pi^0\rightarrow\gamma\gamma$ decay amplitude. Based on this anomaly and its small ($\simeq$ 4.5%) chiral correction, a firm…

High Energy Physics - Phenomenology · Physics 2015-06-03 A. M. Bernstein , Barry R. Holstein

This letter is an investigation of the pion form factor utilizing recently developed effective field theory techniques. The primary results reported are: Both the transition and electromagnetic form factors are corrected at order…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ira Z. Rothstein

We calculate the chiral corrections to Weinberg's prediction for the S--wave $\pi N$ scattering lengths up--to--and--including order ${\cal O}(M_\pi^3)$ making use of heavy baryon chiral perturbation theory. For the isospin--odd scattering…

High Energy Physics - Phenomenology · Physics 2009-10-22 V. Bernard , N. Kaiser , Ulf-G. Meißner

The lifetime measurement of pi+pi- atoms (A2pi) with 10% precision provides in a model independent way the difference between the S-wave pion-pion scattering lengths for isospin 0 and 2, |a0 -a2|, with 5% accuracy. The scattering lengths a0…

High Energy Physics - Experiment · Physics 2019-08-14 V. Yazkov

The cross section for $\gamma\gamma\to\pi^0\pi^0$ and the pion polarizabilities are computed, within generalized chiral perturbation theory, in the full one loop approximation, {\it i.e.} up to and including order $O({p^5})$. The result…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Knecht , B. Moussallam , J. Stern

The lifetime of a disoriented chiral condensate formed within a heat bath of pions is calculated assuming temperatures and densities attainable at present and future heavy-ion colliders. A generalization of the reduction formula to include…

Nuclear Theory · Physics 2009-10-31 James V. Steele , Volker Koch

The perturbative framework is developed for the calculation of the pi(+)pi(-) atom characteristics (energy level shift and lifetime) on the basis of the field-theoretical Bethe-Salpeter approach. A closed expression for the first-order…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. E. Lyubovitskij , E. Z. Lipartia , A. G. Rusetsky

We calculate the electromagnetic corrections needed to obtain isospin invariant hadronic pion-pion s-wave scattering lengths a^0, a^2 from the elements a_cc, a_0c of the s-wave scattering matrix for the (\pi^+ \pi^-, \pi^0 \pi^0) system at…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gashi , G. C. Oades , G. Rasche , W. S. Woolcock