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Journal Articles

The Investigations of the $$P$$-wave $$B_s$$ states combining quark model and lattice QCD in the coupled channel framework

Yang, Z.*; Wang, G.-J.*; Wu, J.-J.*; Oka, Makoto; Zhu, S.-L.*

Journal of High Energy Physics (Internet), 2023(1), p.058_1 - 058_19, 2023/01

 Times Cited Count:2 Percentile:70.45(Physics, Particles & Fields)

Combining the quark model, the quark-pair-creation mechanism and $$B^{(*)}bar K$$ interaction, we have investigated the near-threshold $$P$$-wave $$B_s$$ states in the framework of the Hamiltonian effective field theory. With the heavy quark flavor symmetry, all the parameters are determined in the $$D_s$$ sector by fitting the lattice data. The masses of the bottom-strange partners of the $$D^{*}_{s0}(2317)$$ and $$D^{*}_{s1}(2460)$$ are predicted, which are well consistent with the lattice QCD simulation. The two $$P$$-wave $$B_s$$ states are the mixtures of the bare $$bar b s$$ core and $$B^{(*)}bar K$$ component. Moreover, we find a crossing point between the energy levels with and without the interaction Hamiltonian in the finite volume spectrum in the $$0^+$$ case, which corresponds to a CDD (Castillejo-Dalitz-Dyson) zero in the $$T$$-matrix of the $$Bbar K$$ scattering. This CDD zero will help deepen the insights of the near-threshold states and can be examined by future lattice calculation.

Journal Articles

$$S$$-wave fully charmed tetraquark resonant states

Wang, G.-J.*; Meng, Q.*; Oka, Makoto

Physical Review D, 106(9), p.096005_1 - 096005_9, 2022/11

 Times Cited Count:13 Percentile:85.19(Astronomy & Astrophysics)

$$S$$-wave resonances in the fully charmed tetraquark system are studied in the quark model. The complex scaling method allows us to get the complex eigen-energies of the tetraquark system above the fall-apart decay thresholds. We found two resonances in each of the $$J^{PC}=0^{++}$$, $$1^{+-}$$ and $$2^{++}$$ sectors, respectively. The obtained resonances are about 100 MeV higher than the recently found resonance, $$X(6900)$$.

Journal Articles

Weinberg operator contribution to the $$CP$$-odd nuclear force in the quark model

Yamanaka, Nodoka*; Oka, Makoto

Physical Review D, 106(7), p.075021_1 - 075021_15, 2022/10

 Times Cited Count:1 Percentile:19.15(Astronomy & Astrophysics)

The contribution of the $$CP$$ violating three-gluon interaction, proposed by Weinberg, to the short-range $$CP$$-odd nuclear force is evaluated in the nonrelativistic quark model. We first show that the naive leading contribution generated by the quark exchange process vanishes at sufficiently short distance within the resonating group method, by considering the one-loop level gluon exchange $$CP$$-odd interquark potential induced by the Weinberg operator with massive quarks and gluons. We then estimate the true leading contribution by evaluating the gluonic correction to the $$CP$$-odd interquark potential in the closure approximation. It is found that the resulting irreducible $$CP$$-odd nuclear force is comparable to that generated by the chiral rotation of the $$CP$$-even short-range nuclear force, where the $$CP$$-odd mass calculated with QCD sum rules is used as input. The explicit calculation of the electric dipole moment (EDM) of the $$^3$$He nucleus yields $$d^{(irr)}_{3He}(w) = -1.5 w e$$ MeV. The total $$^3He$$ EDM, accounting for the intrinsic nucleon EDM, the pion-exchange and the short- range $$CP$$-odd nuclear force, is $$d_{(tot)}(w) = 20(+14-11) we$$ MeV, with the dominant effect coming from the intrinsic nucleon EDM.

Journal Articles

Novel coupled channel framework connecting the quark model and lattice QCD for the near-threshold $$D_s$$ states

Yang, Z.*; Wang, G.-J.*; Wu, J.-J.*; Oka, Makoto; Zhu, S.-L.*

Physical Review Letters, 128(11), p.112001_1 - 112001_6, 2022/03

 Times Cited Count:21 Percentile:95.91(Physics, Multidisciplinary)

A novel framework is proposed to extract near-threshold resonant states from finite-volume energy levels of lattice QCD and is applied to elucidate structures of the positive parity $$D_s$$. The quark model, the quark-pair-creation mechanism and $$D^{(*)}K$$ interaction are incorporated into the Hamiltonian effective field theory. The bare $$1^+$$ $$cbar s$$ states are almost purely given by the states with heavy-quark spin bases. The physical $$D^*_{s0}(2317)$$ and $$D^*_{s1}(2460)$$ are the mixtures of bare $$cbar s$$ core and $$D^{(*)}K$$ component, while the $$D^*_{s1}(2536)$$ and $$D^*_{s2}(2573)$$ are almost dominated by bare $$cbar{s}$$. Furthermore, our model well reproduce the clear level crossing of the $$D^*_{s1}(2536)$$ with the scattering state at a finite volume.

Journal Articles

Higher fully charmed tetraquarks; Radial excitations and $$P$$-wave states

Wang, G.-J.*; Meng, L.*; Oka, Makoto; Zhu, S.-L.*

Physical Review D, 104(3), p.036016_1 - 036016_15, 2021/08

 Times Cited Count:23 Percentile:89.05(Astronomy & Astrophysics)

Radial excited states and $$P$$-wave excited states of the fully charmed tetraquark spectrum was studied in the quark model. In the standard model settings, we find that several states may correspond to the observed X(6900) region. The possible quantum numbers are $$0^{++}$$, $$2^{++}$$, $$1^{+-}$$, and $$2^{-+}$$ states.

Journal Articles

Mass spectrum and strong decays of tetraquark $$bar c bar s qq$$ states

Wang, G.-J.*; Meng, L.*; Xiao, L.-Y.*; Oka, Makoto; Zhu, S.-L.*

European Physical Journal C, 81(2), p.188_1 - 188_12, 2021/02

 Times Cited Count:32 Percentile:94.72(Physics, Particles & Fields)

The mass spectrum and strong decays of the S-wave $$bar c bar s qq$$ states are studied in the compact tetraquark scenario with the quark model. The model consists of the Coulomb, the linear confinement, and the hyperfine interactions. We calculate their decay amplitudes into the $$D^{-(*)}K^{(*)}$$ channels using the quark interchange method. The mass and decay width of the $$I(J^P)=1(0^+)$$ state are $$M = 2941$$ MeV and $$Gamma_X=26.6$$ MeV, respectively, which indicates that it might be a good candidate for the recently observed $$X^0(2900)$$ state. We also obtain an isospin partner state $$I(J^P)= 0(0^+)$$ with $$M =2649$$ MeV and $$Gamma_{Xto D^- K}= 48.1$$ MeV, respectively. Future experimental search for $$X(2649)$$ will be very helpful.

Oral presentation

Higher fully-charmed tetraquarks; Radial excitations and P-wave states

Wang, G.-J.*

no journal, , 

Radial excited states and P-wave excited states of the fully-charmed tetraquark spectrum was studied in the quark model. In the standard model settings, we find that several states may correspond to the observed X(6900) region. The possible quantum numbers are $$0^{++}$$, $$2^{++}$$, $$1^{+-}$$, and $$2^{-+}$$ states.

Oral presentation

Spectrum of the fully-charmed tetraquark state

Wang, G.-J.*

no journal, , 

Radial excited states and P-wave excited states of the fully-charmed tetraquark spectrum was studied in the quark model. In the standard model settings, we find that several states may correspond to the observed X(6900) region. The possible quantum numbers are $$0^{++}$$, $$2^{++}$$, $$1^{+-}$$, and $$2^{-+}$$ states.

Oral presentation

Novel coupled channel framework connecting quark model and lattice QCD; An Investigation on near-threshold heavy-strange states

Wang, G.-J.*

no journal, , 

Relation between the quark model and the lattice QCD computation in the Ds and Bs systems is discussed.

Oral presentation

The Study of P-wave Ds mesons in coupled channel framework

Wang, G.-J.*

no journal, , 

Combination of the recent quark model and lattice QCD results for Ds and Bs mesons is achieved and the structures of these mesons are discussed.

Oral presentation

The Study of P-wave Ds mesons in coupled channel framework

Wang, G.-J.*

no journal, , 

In this talk, I will discuss a novel framework to extract resonant states from finite-volume energy levels of lattice QCD and apply it to elucidate structures of the positive parity Ds resonant states nearby the DK and D*K thresholds. In the framework, the Hamiltonian effective field theory is extended by combining it with the quark model. The Hamiltonian contains the bare mesons from the quark model, its coupling with the threshold channels described by quark-pair-creation (QPC) model, and the channel-channel interactions induced by exchanging light mesons. A successful fit of the finite-volume energy levels of lattice QCD with the Hamiltonian model is made. The extracted masses and the predication for an additional state, Ds(2573), are well consistent with experimental measurements. The same framework has also be extended to the P-wave $$B_s$$ states.

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