The internal structures of J^(PC)=1^(--),(0,1,2)^(-+)charmonium-like hybrids are investigated under lattice QCD in the quenched approximation.We define the Bethe-Salpeter wave function(Φn(r))in the Coulomb gauge as t...The internal structures of J^(PC)=1^(--),(0,1,2)^(-+)charmonium-like hybrids are investigated under lattice QCD in the quenched approximation.We define the Bethe-Salpeter wave function(Φn(r))in the Coulomb gauge as the matrix element of a spatially extended hybrid-like operator(ccg)between the vacuum and n-th state for each J^(PC),with r being the spatial separation between a localized cc component and the chromomagnetic strength tensor.These wave functions exhibit some similarities for states with the aforementioned different quantum numbers,and their r-behaviors(no node for the ground states and one node for the first excited states)imply that r can be a meaningful dynamical variable for these states.Additionally,the mass splittings of the ground states and first excited states of charmonium-like hybrids in these channels are obtained for the first time to be approximately 1.2-1.4 GeV.These results do not support the flux-tube description of heavy-quarkonium-like hybrids in the Born-Oppenheimer approximation.In contrast,a charmonium-like hybrid can be viewed as a"color halo"charmonium for which a relatively localized color octet cc is surrounded by gluonic degrees of freedom,which can readily decay into a charmonium state along with one or more light hadrons.The color halo picture is compatible with the decay properties of Y(4260)and suggests LHCb and BelleⅡto search for(0,1,2)^(-+)charmonium-like hybrids inχ_(c0,1,2η) and J/ψω(φ)final states.展开更多
基金Supported by the National Key Research and Development Program of China(2017YFB0203202)the Strategic Priority Research Program of Chinese Academy of Sciences(XDB34030302,XDC01040100)+2 种基金the National Natural Science Foundation of China(11935017,11575196,11775229,12075253,12070131001)(CRC 110by DFG and NSFC)supported by the CAS Center for Excellence in Particle Physics(CCEPP)support of DOE(DE-AC05-06OR23177)。
文摘The internal structures of J^(PC)=1^(--),(0,1,2)^(-+)charmonium-like hybrids are investigated under lattice QCD in the quenched approximation.We define the Bethe-Salpeter wave function(Φn(r))in the Coulomb gauge as the matrix element of a spatially extended hybrid-like operator(ccg)between the vacuum and n-th state for each J^(PC),with r being the spatial separation between a localized cc component and the chromomagnetic strength tensor.These wave functions exhibit some similarities for states with the aforementioned different quantum numbers,and their r-behaviors(no node for the ground states and one node for the first excited states)imply that r can be a meaningful dynamical variable for these states.Additionally,the mass splittings of the ground states and first excited states of charmonium-like hybrids in these channels are obtained for the first time to be approximately 1.2-1.4 GeV.These results do not support the flux-tube description of heavy-quarkonium-like hybrids in the Born-Oppenheimer approximation.In contrast,a charmonium-like hybrid can be viewed as a"color halo"charmonium for which a relatively localized color octet cc is surrounded by gluonic degrees of freedom,which can readily decay into a charmonium state along with one or more light hadrons.The color halo picture is compatible with the decay properties of Y(4260)and suggests LHCb and BelleⅡto search for(0,1,2)^(-+)charmonium-like hybrids inχ_(c0,1,2η) and J/ψω(φ)final states.
