Current algebra and η → 3π

Bell, J. S.; Sutherland, D.G.

doi:10.1016/0550-3213(68)90316-7

Cited by 114 publications

(104 citation statements)

References 30 publications

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“…(7.4) we obtain Q = 22.4 ± 0.9. Thus, while it may be somewhat smaller than previously thought, the up quark mass does not vanish 10 . We note that the somewhat lower value of mu m d in [20] was obtained with a changed value of m d +mu ms .…”

Section: Discussionmentioning

confidence: 67%

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Final state interactions and Khuri-Treiman equations in,ν → 3π decays

Kambor¹,

1996

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Using extended Khuri-Treiman equations, we evaluate the final state interactions due to two-pion rescatterings to the decays η → π 0 π + π − and η → π 0 π 0 π 0 . As subtraction to the dispersion relation we take the one-loop chiral perturbation theory result of Gasser and Leutwyler. The calculated corrections are moderate and amount to about 14% in the amplitude at the center of the decay region. A careful analysis of the errors inherent to our approach is given. As a consequence, the experimental rate of the decay can only be reproduced if the double quark mass ratio Q −2 ≡ m d −mu ms−m · m d +mu ms+m is increased from the usual value of 1/(24.1) 2 to 1/(22.4 ± 0.9) 2 . We have also calculated the ratio of the rates of the two decays and various Dalitz Plot parameters. In particular, the linear slope a in the charged decay is different from the one-loop value and agrees better with experiment.

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Section: Discussionmentioning

confidence: 67%

“…K if the amplitude is assumed to be linear in s a [10,11]. Recently, these terms were reanalyzed in an effective Lagrangian framework [12] and the expected smallness of the electromagnetic corrections (Sutherland's theorem) was confirmed.…”

Section: Introductionmentioning

confidence: 99%

Final state interactions and Khuri-Treiman equations in,ν → 3π decays

Kambor¹,

1996

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“…Calculations: Q LO [10] 15.6 NLO [10] 20.1 NNLO [10] 22.9 dispersive [13] 22.7(8) dispersive [14] 22.4(9) dispersive (PLM) [15] 23.1 (7) Lattice QCD av. [16] 22.6(7)(6) TABLE I.…”

mentioning

confidence: 99%

Measurement of theη→π+π−π0Dalitz plot distribution

Adlarson¹,

Augustyniak²,

Bardan³

et al. 2014

Phys. Rev. C

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“…Next, trusting current algebra and PCAC an analysis revealed that the decay of the eta meson into three pions, η → 3π , is forbidden [48,49], even though the decay is experimentally seen. Moreover, with the same assumptions the calculation of the decay of the neutral pion into two photons, π 0 → γγ , yielded a vanishing result [50,51], again in contradiction to experiment.…”

Section: John Bell -The Particle Physicistmentioning

confidence: 99%

Bell’s Universe: A Personal Recollection

Bertlmann

2016

Quantum [Un]Speakables II

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My collaboration and friendship with John Bell is recollected. I will explain his outstanding contributions in particle physics, in accelerator physics, and his joint work with Mary Bell. Mary's work in accelerator physics is also summarized. I recall our quantum debates, mention some personal reminiscences, and give my personal view on Bell's fundamental work on quantum theory, in particular, on the concept of contextuality and nonlocality of quantum physics. Finally, I describe the huge influence Bell had on my own work, in particular on entanglement and Bell inequalities in particle physics and their experimental verification, and on mathematical physics, where some geometric aspects of the quantum states are illustrated.

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Current algebra and η → 3π

Cited by 114 publications

References 30 publications

Final state interactions and Khuri-Treiman equations in,ν → 3π decays

Final state interactions and Khuri-Treiman equations in,ν → 3π decays

Measurement of theη→π+π−π0Dalitz plot distribution

Bell’s Universe: A Personal Recollection

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