%0 Generic %1 Janowski2014F01710 %A Janowski, Stanislaus %A Giacosa, Francesco %A Rischke, Dirk H. %D 2014 %K glueball %T Is f0(1710) a glueball? %U http://arxiv.org/abs/1408.4921 %X We study the three-flavor chirally and dilatation invariant extended Linear Sigma Model with (pseudo)scalar and (axial-)vector mesons as well as a scalar dilaton field whose excitations are interpreted as a glueball. The model successfully describes masses and decay widths of quark-antiquark mesons in the low-energy region up to 1.6 GeV. Here we study in detail the vacuum properties of the scalar-isoscalar channel and find that (i) a narrow glueball is only possible if the vacuum expectation value of the dilaton field is (at tree-level) quite large (i.e., larger than what lattice QCD and QCD sum rules suggest) and (ii) that only solutions in which f0(1710) is predominantly a glueball are found. Moreover, the resonance f0(1370) turns out to be mainly nonstrange quark-antiquark state and thus corresponds to the chiral partner of the pion, while the resonance f0(1500) is mainly strange quark-antiquark state.

@misc{Janowski2014F01710, abstract = {{We study the three-flavor chirally and dilatation invariant extended Linear Sigma Model with (pseudo)scalar and (axial-)vector mesons as well as a scalar dilaton field whose excitations are interpreted as a glueball. The model successfully describes masses and decay widths of quark-antiquark mesons in the low-energy region up to 1.6 GeV. Here we study in detail the vacuum properties of the scalar-isoscalar channel and find that (i) a narrow glueball is only possible if the vacuum expectation value of the dilaton field is (at tree-level) quite large (i.e., larger than what lattice QCD and QCD sum rules suggest) and (ii) that only solutions in which f0(1710) is predominantly a glueball are found. Moreover, the resonance f0(1370) turns out to be mainly nonstrange quark-antiquark state and thus corresponds to the chiral partner of the pion, while the resonance f0(1500) is mainly strange quark-antiquark state.}}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Janowski, Stanislaus and Giacosa, Francesco and Rischke, Dirk H.}, biburl = {https://www.bibsonomy.org/bibtex/2612db7161569fd5c797b5540b63b8082/cmcneile}, citeulike-article-id = {13332429}, citeulike-linkout-0 = {http://arxiv.org/abs/1408.4921}, citeulike-linkout-1 = {http://arxiv.org/pdf/1408.4921}, day = 21, eprint = {1408.4921}, interhash = {5bd25dc864ccf53e9c5d00dc289fc7ab}, intrahash = {612db7161569fd5c797b5540b63b8082}, keywords = {glueball}, month = aug, posted-at = {2014-08-22 10:05:56}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Is f0(1710) a glueball?}}, url = {http://arxiv.org/abs/1408.4921}, year = 2014 }