From well-known tensor mesons to yet unknown axial-tensor mesons

A phenomenological note on the missing $\rho_2$ meson

“…Secondly, we present the results in Table 3 for the missing 𝜌 2 . Note that, we have Decay process (in model) eLSM [9] PDG [1] 𝑎 2 (1320) −→ K 𝐾 4.06 ± 0.14 7.0 +2.0 −1.5…”

“…I am thankful to Adrian Königstein for collaboration in [6] , Milena Piotrowska, Arthur Verijeken in [9] and Francesco Giacosa for his reading the manuscript as well as collaboration in [6,9]. I acknowledge financial support through the project "Development Accelerator of the Jan Kochanowski University of Kielce", co-financed by the European Union under the European Social Fund, with no.…”

“…Secondly, we present the results in Table 3 for the missing 2 . Note that, we have Decay process (in model) eLSM [9] PDG [1] 2 used the PDG data in Table 2 to obtain the coupling ten 2 for presenting the results in the second row of the Table 3. We expect the dominant 2 decay widths in the interval between the second and the third rows of the following table which implies it is being broad despite some uncertainties.…”

“…Axial tensor mesons are studied in recent LQCD simulations [8], where the authors consider the mass of 𝜌 2 is about 1.7 GeV as the 𝜌 3 (1690). We present the results about the missing 𝜌 2 [9] within a chiral effective model which is so-called the extended Linear Sigma Model (eLSM) [2].…”

“…We only have the following data which were observed from different experimental groups and listed as "further states" in PDG [1] [8], where the authors consider the mass of 2 is about 1.7 GeV as the 3 (1690). We present the results about the missing 2 [9] within a chiral effective model which is so-called the extended Linear Sigma Model (eLSM) [2].…”