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Inspired by the resonance Tcc+(3875) recently observed by the LHCb Collaboration, we systematically explore the S- and P-wave ccq¯q¯′ (q¯,q¯′=u¯,d¯,s¯) systems in a chiral SU(3) quark model. The Hamiltonian contains the kinetic energy, the one-gluon-exchange (OGE) potential, the confinement potential, and the one-boson-exchange (OBE) potential stemming from the coupling of quark and chiral fields. The Schrödinger equation is solved by use of the variational method with the spacial trial wave functions chosen as Gaussian functions. It is found that the lowest state has a mass 3879 MeV, isospin and spin-parity IJP=01+, and quark constituent ccu¯d¯, in agreement with the experimentally observed Tcc+(3875). This state is approximately at the calculated DD* threshold and has a root-mean-square radius of about 0.48 fm. These demonstrate that the Tcc+(3875) can be accommodated as a stable and compact tetraquark sate in the chiral SU(3) quark model. All the other S- and P-wave ccq¯q¯′ (q¯,q¯′=u¯,d¯,s¯) states lie about 100 to a few hundreds MeV higher than the corresponding meson-meson thresholds and thus are not suggested to be candidates of stable and compact tetraquark states due to their fall-apart decays to two mesons. Published by the American Physical Society 2024
Wang et al. (Mon,) studied this question.