%0 Generic %1 Cheng2013Mixing %A Cheng, Hai-Yang %D 2013 %K mixing %T Mixing angle of \$K\_1\$ axial vector mesons %U http://arxiv.org/abs/1311.2370 %X Analyses of various experimental measurements all indicate that the mixing angle \$þeta\_K\_1\$ of \$K\_1(1270)\$ and \$K\_1(1400)\$ is in the vicinity of \$33^\circ\$ or \$57^\circ\$. However, whether \$þeta\_K\_1\$ is greater or less than \$45^\circ\$ is still quite controversial. For example, there were two very recent studies of the strong decays of \$K\_1\$ mesons. One group claimed that \$þeta\_K\_160^\circ\$, while the other group obtained \$þeta\_K\_1=(33.6\pm4.3)^\circ\$. Since the determination of the mixing angles \$\alpha\_^3\!P\_1\$ and \$\alpha\_^1\!P\_1\$ with the former (latter) being the mixing angle of \$f\_1(1285)\$ (\$h\_1(1170)\$) and \$f\_1(1420)\$ (\$h\_1(1380)\$) in the flavor basis through mass relations depend on \$þeta\_K\_1\$, we show that \$þeta\_K\_157^\circ\$ is ruled out as it leads to a too large deviation from ideal mixing in the \$^1\!P\_1\$ sector, inconsistent with the lattice calculation of \$\alpha\_^1\!P\_1\$ and the observation of strong decays of \$h\_1(1170)\$ and \$h\_1(1380)\$. We find that for \$þeta\_K\_1\approx (28-30)^\circ\$, the corresponding \$\alpha\_^3\!P\_1\$ and \$\alpha\_^1\!P\_1\$ agree well with all lattice and phenomenological analyses. This again reinforces the statement that \$þeta\_K\_133^\circ\$ is much more favored than \$57^\circ\$.

@misc{Cheng2013Mixing, abstract = {Analyses of various experimental measurements all indicate that the mixing angle \$\theta\_{K\_1}\$ of \$K\_1(1270)\$ and \$K\_1(1400)\$ is in the vicinity of \$33^\circ\$ or \$57^\circ\$. However, whether \$\theta\_{K\_1}\$ is greater or less than \$45^\circ\$ is still quite controversial. For example, there were two very recent studies of the strong decays of \$K\_1\$ mesons. One group claimed that \$\theta\_{K\_1}\approx 60^\circ\$, while the other group obtained \$\theta\_{K\_1}=(33.6\pm4.3)^\circ\$. Since the determination of the mixing angles \$\alpha\_{^3\!P\_1}\$ and \$\alpha\_{^1\!P\_1}\$ with the former (latter) being the mixing angle of \$f\_1(1285)\$ (\$h\_1(1170)\$) and \$f\_1(1420)\$ (\$h\_1(1380)\$) in the flavor basis through mass relations depend on \$\theta\_{K\_1}\$, we show that \$\theta\_{K\_1}\approx 57^\circ\$ is ruled out as it leads to a too large deviation from ideal mixing in the \$^1\!P\_1\$ sector, inconsistent with the lattice calculation of \$\alpha\_{^1\!P\_1}\$ and the observation of strong decays of \$h\_1(1170)\$ and \$h\_1(1380)\$. We find that for \$\theta\_{K\_1}\approx (28-30)^\circ\$, the corresponding \$\alpha\_{^3\!P\_1}\$ and \$\alpha\_{^1\!P\_1}\$ agree well with all lattice and phenomenological analyses. This again reinforces the statement that \$\theta\_{K\_1}\sim 33^\circ\$ is much more favored than \$57^\circ\$.}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Cheng, Hai-Yang}, biburl = {https://www.bibsonomy.org/bibtex/2a2e38a5e3a3c3757b2d97156c12d2cc7/cmcneile}, citeulike-article-id = {12783433}, citeulike-linkout-0 = {http://arxiv.org/abs/1311.2370}, citeulike-linkout-1 = {http://arxiv.org/pdf/1311.2370}, day = 11, eprint = {1311.2370}, interhash = {4ef1109922b323f0cbfd2f3ac1b615b9}, intrahash = {a2e38a5e3a3c3757b2d97156c12d2cc7}, keywords = {mixing}, month = nov, posted-at = {2013-11-12 14:52:37}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Mixing angle of \$K\_1\$ axial vector mesons}}, url = {http://arxiv.org/abs/1311.2370}, year = 2013 }