2013/11/11 by Hai-Yang Cheng, Cheng, Hai-Yang · 2 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.1311.2370
openalex publication_date 2013/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Analyses of various experimental measurements all indicate that the mixing angle θK1 of K1(1270) and K1(1400) is in the vicinity of 33^∘ or 57^∘. However, whether θK1 is greater or less than 45^∘ is still quite controversial. For example, there were two very recent studies of the strong decays of K1 mesons. One group claimed that θK1≈ 60^∘, while the other group obtained θK1=(33.6±4.3)^∘. Since the determination of the mixing angles α3 P1 and α1 P1 with the former (latter) being the mixing angle of f1(1285) (h1(1170)) and f1(1420) (h1(1380)) in the flavor basis through mass relations depend on θK1, we show that θK1≈ 57^∘ is ruled out as it leads to a too large deviation from ideal mixing in the 1 P1 sector, inconsistent with the lattice calculation of α1 P1 and the observation of strong decays of h1(1170) and h1(1380). We find that for θK1≈ (28-30)^∘, the corresponding α3 P1 and α1 P1 agree well with all lattice and phenomenological analyses. This again reinforces the statement that θK1∼ 33^∘ is much more favored than 57^∘.