Observation of a Near-Threshold Structure in the
K + e + e −
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Cited by 163 publications
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In this work, we perform a systematical investigation about the possible hidden and doubly heavy molecular states with open and hidden strangeness from interactions of $$D^{(*)}{{\bar{D}}}^{(*)}_{s}$$ D ( ∗ ) D ¯ s ( ∗ ) /$$B^{(*)}{{\bar{B}}}^{(*)}_{s}$$ B ( ∗ ) B ¯ s ( ∗ ) , $${D}^{(*)}_{s}{{\bar{D}}}^{(*)}_{s}$$ D s ( ∗ ) D ¯ s ( ∗ ) /$${{B}}^{(*)}_{s}{{\bar{B}}}^{(*)}_{s}$$ B s ( ∗ ) B ¯ s ( ∗ ) , $${D}^{(*)}D_{s}^{(*)}$$ D ( ∗ ) D s ( ∗ ) /$${B}^{(*)}B_{s}^{(*)}$$ B ( ∗ ) B s ( ∗ ) , and $$D_{s}^{(*)}D_{s}^{(*)}$$ D s ( ∗ ) D s ( ∗ ) /$$B_{s}^{(*)}B_{s}^{(*)}$$ B s ( ∗ ) B s ( ∗ ) in a quasipotential Bethe-Salpeter equation approach. The interactions of the systems considered are described within the one-boson-exchange model, which includes exchanges of light mesons and $$J/\psi /\varUpsilon $$ J / ψ / Υ meson. Possible molecular states are searched for as poles of scattering amplitudes of the interactions considered. The results suggest that recently observed $$Z_{cs}(3985)$$ Z cs ( 3985 ) can be assigned as a molecular state of $$D^*{\bar{D}}_s+D{\bar{D}}^*_s$$ D ∗ D ¯ s + D D ¯ s ∗ , which is a partner of $$Z_c(3900)$$ Z c ( 3900 ) state as a $$D{\bar{D}}^*$$ D D ¯ ∗ molecular state. The calculation also favors the existence of hidden heavy states $$D_s{\bar{D}}_s/B_s{\bar{B}}_s$$ D s D ¯ s / B s B ¯ s with spin parity $$J^P=0^+$$ J P = 0 + , $$D_s{\bar{D}}^*_s/B_s{\bar{B}}^*_s$$ D s D ¯ s ∗ / B s B ¯ s ∗ with $$1^{+}$$ 1 + , and $$D^*_s{\bar{D}}^*_s/B^*_s{\bar{B}}^*_s$$ D s ∗ D ¯ s ∗ / B s ∗ B ¯ s ∗ with $$0^+$$ 0 + , $$1^+$$ 1 + , and $$2^+$$ 2 + . In the doubly heavy sector, the bound states can be found from the interactions $$(D^*D_s+DD^*_s)/(B^*B_s+BB^*_s)$$ ( D ∗ D s + D D s ∗ ) / ( B ∗ B s + B B s ∗ ) with $$1^+$$ 1 + , $$D_s{\bar{D}}_s^*/B_s{\bar{B}}_s^*$$ D s D ¯ s ∗ / B s B ¯ s ∗ with $$1^+$$ 1 + , $$D^*D^*_s/B^*B^*_s$$ D ∗ D s ∗ / B ∗ B s ∗ with $$1^+$$ 1 + and $$2^+$$ 2 + , and $$D^*_sD^*_s/B^*_sB^*_s$$ D s ∗ D s ∗ / B s ∗ B s ∗ with $$1^+$$ 1 + and $$2^+$$ 2 + . Some other interactions are also found attractive, but may be not strong enough to produce a bound state. The results in this work are helpful for understanding the $$Z_{cs}(3985)$$ Z cs ( 3985 ) , and future experimental search for the new molecular states.
In this work, we perform a systematical investigation about the possible hidden and doubly heavy molecular states with open and hidden strangeness from interactions of $$D^{(*)}{{\bar{D}}}^{(*)}_{s}$$ D ( ∗ ) D ¯ s ( ∗ ) /$$B^{(*)}{{\bar{B}}}^{(*)}_{s}$$ B ( ∗ ) B ¯ s ( ∗ ) , $${D}^{(*)}_{s}{{\bar{D}}}^{(*)}_{s}$$ D s ( ∗ ) D ¯ s ( ∗ ) /$${{B}}^{(*)}_{s}{{\bar{B}}}^{(*)}_{s}$$ B s ( ∗ ) B ¯ s ( ∗ ) , $${D}^{(*)}D_{s}^{(*)}$$ D ( ∗ ) D s ( ∗ ) /$${B}^{(*)}B_{s}^{(*)}$$ B ( ∗ ) B s ( ∗ ) , and $$D_{s}^{(*)}D_{s}^{(*)}$$ D s ( ∗ ) D s ( ∗ ) /$$B_{s}^{(*)}B_{s}^{(*)}$$ B s ( ∗ ) B s ( ∗ ) in a quasipotential Bethe-Salpeter equation approach. The interactions of the systems considered are described within the one-boson-exchange model, which includes exchanges of light mesons and $$J/\psi /\varUpsilon $$ J / ψ / Υ meson. Possible molecular states are searched for as poles of scattering amplitudes of the interactions considered. The results suggest that recently observed $$Z_{cs}(3985)$$ Z cs ( 3985 ) can be assigned as a molecular state of $$D^*{\bar{D}}_s+D{\bar{D}}^*_s$$ D ∗ D ¯ s + D D ¯ s ∗ , which is a partner of $$Z_c(3900)$$ Z c ( 3900 ) state as a $$D{\bar{D}}^*$$ D D ¯ ∗ molecular state. The calculation also favors the existence of hidden heavy states $$D_s{\bar{D}}_s/B_s{\bar{B}}_s$$ D s D ¯ s / B s B ¯ s with spin parity $$J^P=0^+$$ J P = 0 + , $$D_s{\bar{D}}^*_s/B_s{\bar{B}}^*_s$$ D s D ¯ s ∗ / B s B ¯ s ∗ with $$1^{+}$$ 1 + , and $$D^*_s{\bar{D}}^*_s/B^*_s{\bar{B}}^*_s$$ D s ∗ D ¯ s ∗ / B s ∗ B ¯ s ∗ with $$0^+$$ 0 + , $$1^+$$ 1 + , and $$2^+$$ 2 + . In the doubly heavy sector, the bound states can be found from the interactions $$(D^*D_s+DD^*_s)/(B^*B_s+BB^*_s)$$ ( D ∗ D s + D D s ∗ ) / ( B ∗ B s + B B s ∗ ) with $$1^+$$ 1 + , $$D_s{\bar{D}}_s^*/B_s{\bar{B}}_s^*$$ D s D ¯ s ∗ / B s B ¯ s ∗ with $$1^+$$ 1 + , $$D^*D^*_s/B^*B^*_s$$ D ∗ D s ∗ / B ∗ B s ∗ with $$1^+$$ 1 + and $$2^+$$ 2 + , and $$D^*_sD^*_s/B^*_sB^*_s$$ D s ∗ D s ∗ / B s ∗ B s ∗ with $$1^+$$ 1 + and $$2^+$$ 2 + . Some other interactions are also found attractive, but may be not strong enough to produce a bound state. The results in this work are helpful for understanding the $$Z_{cs}(3985)$$ Z cs ( 3985 ) , and future experimental search for the new molecular states.
The infinite chain of transitions of one pair of mesons (channel I) into another pair of mesons (channel II) can produce bound states and resonances in both channels even if no interactions inside channels exist. These resonances which can occur also in meson-baryon channels are called channel-coupling (CC) resonances. A new mechanism of CC resonances is proposed where transitions occur due to a rearrangement of confining strings inside each channel — the recoupling mechanism. The amplitude of this recoupling mechanism is expressed via overlap integrals of the wave functions of participating mesons (baryons). The explicit calculation with the known wave functions yields the peak at E = 4.12 GeV for the transitions $$ J/\psi +\phi \leftrightarrow {D}_s^{\ast }+{\overline{D}}_s^{\ast } $$ J / ψ + ϕ ↔ D s ∗ + D ¯ s ∗ , which can be associated with χc1 (4140), and a narrow peak at 3.98 GeV with the width 10 MeV for the transitions $$ {D}_s^{-}+{D}_0^{\ast}\leftrightarrow J/\psi +{K}^{\ast -} $$ D s − + D 0 ∗ ↔ J / ψ + K ∗ − , which can be associated with th recently discovered Zcs (3985).
We present a comprehensive study of the decay width of multiquark states containing different color singlet components in a coupled-channel approach. We show how the decay width can provide in-depth information about the nature of a coupled-channel resonance. An unexpected behavior of the decay width of a multiquark state could be pointing to a relevant role of the coupled-channel dynamics, aiming at the channel responsible for the formation of the resonance. The symmetrical situation between meson- and baryon-like multiquarks is highlighted. Our study accounts for the existence of narrow resonances with large phase spaces. In the case of resonances far from their detection channel, it is the mass difference with the formation channel that determines their decay width. The larger the binding, the larger the decay width, even though the phase space to the detection channel gets reduced. The trends noticed cast doubts on the molecular assignment of some multiquark candidates. Finally, we wonder about the existence and properties of multiquark partners in other flavor sectors.
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