Solving integral equations in $$\eta \rightarrow 3\pi $$ η → 3 π

Se p 20 07 Physics of η ′ → π + π − η and η ′ → π + π − π 0 decays

The article describes experimental status of the η ′ → π+π−η and η ′ → π+π−π0 decays. A theoretical framework used for description of the decays mechanism is also reviewed. The possibilities for the measurements with WASA-at-COSY are mentioned.

η → π + π − π 0 γ in Chiral Perturbation Theory

Eta - Product Η ( 7 Τ ) 7 / Η ( Τ )

Let LΦ7(s) be the Dirichlet series associated to the eta-product η(7τ)/η(τ)∈M3(Γ0(7), ε) (here ε(n) := ( n 7 ) = (−7 n ) is the Dirichlet character defined by the residue symbol). We show that LΦ7(s) decomposes into the difference of two L-functions: LΦ7(s) = 1 8 ( L(s, ε)L(s− 2, 1)− L(s− 1, ξ)), where i) L(s, ε) and L(s, 1) are Dirichlet L-functions for the characters ε and 1 modulo 7, respect...

A New Dispersive Analysis of η → 3 π Stefan

We present a new dispersive analysis of the isospin breaking decay η → 3π. The resulting representation of the decay amplitude allows us to determine the quark mass double ratio Q and we find as a preliminary result Q = 22.3 ± 0.4. Finally, we discuss a number of improvements that we intend to implement in the future.

A New Dispersive Analysis of η → 3 π

We present a new dispersive analysis of the isospin breaking decay η → 3π. The resulting representation of the decay amplitude allows us to determine the quark mass double ratio Q and we find as a preliminary result Q = 22.3 ± 0.4. Finally, we discuss a number of improvements that we intend to implement in the future.