20.500.12556/RUL-168061 Charmoniumlike channels $1^+$ with isospin 1 from lattice and effective field theory Many exotic charmoniumlike mesons have already been discovered experimentally, of which the $Z_c$ mesons with isospin 1 are prominent examples. We investigate $J^{PC}=1^{+\pm}$ states with flavor $\bar{c}c\bar{q}q (q=u,d)$ in isospin 1 using lattice QCD. This is the first study of these mesons employing more than one volume and involving frames with nonzero total momentum. We utilize two $N_f=2+1$ CLS ensembles with $m_{\pi}\simeq 280~\mathrm{MeV}$ . The simulations are performed with unphysical light quark masses at a single lattice spacing of $a\simeq 0.086~\mathrm{fm}$ and omit $\psi(2S)\pi$, $\psi⁡(3770)\pi$ and three-particle decay channels, so our results provide only qualitative insights. Resulting eigenenergies are compatible or just slightly shifted down with respect to noninteracting energies, where the most significant shifts occur for certain $D\bar{D}^*$⁢ states. Both channels $1^{+\pm}$ have a virtual pole slightly below the threshold if $D\bar{D}^*$ is assumed to be decoupled from other channels. In addition, we perform a coupled channel analysis of $J/\psi \pi$ and $D\bar{D}^*$ scattering with $J^{PC}=1^{+-}$ within an effective field theory framework. The $J/\psi \pi$ and $D\bar{D}^*$⁢ invariant-mass distributions from BESIII and finite-volume energies from several lattice QCD simulations, including this work, are fitted simultaneously. All fits yield two poles relatively close to the $D\bar{D}^*$ threshold and reasonably reproduce the experimental $Z_c$ peaks. They also reproduce lattice energies up to slightly above the $D\bar{D}^*$ threshold, while reproduction at even higher energies is better for fits that put more weight on the lattice data. Our findings suggest that the employed effective field theory can reasonably reconcile the peaks in the experimental line shapes and the lattice energies, although those lie close to noninteracting energies. We also study $J/\psi \pi$ scattering in s wave and place upper bounds on the phase shift. physics of elementary particles hadrons lattice QCD fizika osnovnih delcev hadroni kvantna kromodinamika na mreži true false true Angleški jezik Slovenski jezik Članek v reviji 2025-03-27 10:12:39 2025-03-27 10:12:41 2025-03-28 04:02:15 0000-00-00 00:00:00 2025 0 0 Str. 054513-1-054513-36 iss. 5 Vol. 111 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 539.120.811 2470-0010 10.1103/PhysRevD.111.054513 230409219 PhysRevD.111.054513.pdf PhysRevD.111.054513.pdf 1 2A4FF01E8FC013C1E7EE07CC20F31A17 e2817bc2b1edf44d6ff6b69245a805a7841f59a9e5f11db5fe2b6919fac5b903 36c06b85-0af8-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=201054 https://journals.aps.org/prd/abstract/10.1103/PhysRevD.111.054513 0 3e6a3713-0af8-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=201055 Fakulteta za matematiko in fiziko 0 0 0