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You-You Lin

Publications and source records attributed to You-You Lin.

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$P_{c\bar cs}(4459)^{0}$, $P_{c\bar c s}(4338)^0$ and mass spectrum of strange hidden-charm pentaquarks

Strange hidden-charm pentaquark states have been systematically investigated within a diquark-triquark model. Through a Gaussian expansion method, masses of some diquarks, triquarks and strange hidden-charmed pentaquark states from S-wave to P-wave excitations have been calculated with the non-relativistic Semay and Silvestre-Brac potentials in terms of the same parameters employed for tetraquark states. Masses of pentaquark states in S-wave excitations are found between $4200$ MeV and $4590$ MeV, while masses of all P-wave excitations are found above $4600$ MeV. Mass splittings between the S-wave and P-wave pentaquark states are about $350-570$ MeV. In comparison to the experimental data, $P_{c\bar cs}(4459)^{0}$ observed by LHCb in decay channel $\Xi_{b}^{-}\rightarrow J/\psi \Lambda K^-$ is assumed as the $|1; 0, 1/2; 3/2, 0\rangle_{3/2}$ $[sq][\bar{c}cq]$ pentaquark state with $J^P={3\over 2}^-$, while $P_{c\bar c s}(4338)^0$ observed in the decay channel $B^{-}\rightarrow J/\psi \Lambda \bar{p}$ is very possibly the $|0; 1, 1/2; 1/2, 0\rangle_{1/2}$ $[cq][\bar{c}sq]$ pentaquark state with $J^P={1\over 2}^-$. We predict a lowest strange hidden-charm pentaquark state with $J^P={1\over 2}^-$ around $4200$ MeV.

hep-ph

Spectrum of $[cq][\bar{s}\bar{q}]$ tetraquarks: Nature of $D^*_{s0}(2317)$, $D_{s1}(2460)$ and $T^*_{c\bar s0}(2900)$

Motivated by the recent observations of exotic open-charm tetraquark candidates \(T^a_{c\bar{s}0}(2900)^{++}\) and \(T^a_{c\bar{s}0}(2900)^{0}\), we systematically calculate the mass spectra of \([cq][\bar{s}\bar{q}]\) tetraquarks within a nonrelativistic constituent quark potential model. In the model, the tetraquark states are treated as diquark-antidiquark bound systems with an interior interaction similar to the quark-antiquark interaction in conventional mesons. The well established states \(D_{s0}^*(2317)\) with \(J^P=0^+\) and \(D_{s1}(2460)\) with \(J^P=1^+\) could be identified as the two ground states of the \([cq][\bar{s}\bar{q}]\) system. \(T^a_{c\bar{s}0}(2900)^{0}\) and \(T^a_{c\bar{s}0}(2900)^{++}\) could be naturally interpreted as radially excited \(0^+\) tetraquark states with different interior components. Their large mass difference may result from their different interior structure instead of an isospin symmetry breaking. Whether \(T^a_{c\bar{s}0}(2900)^{0}\) and \(T^a_{c\bar{s}0}(2900)^{++}\) belong to an isospin triplet deserves further experimental investigation. In addition, there may be another \(0^+\) \([cq][\bar{s}\bar{q}]\) tetraquark state with mass around $2450$ MeV, which is composed of a $cq$ diquark and a $\bar s\bar q$ antidiquark both with spin-0. In the energy region $2640-2700$ MeV, there may be a $J^P=2^+$ \([cq][\bar{s}\bar{q}]\) tetraquark state composed of the $cq$ diquark and the $\bar s\bar q$ antidiquark both with spin-1.

hep-ph

$X(3872)$ and hidden charmed tetraquarks

In a constituent quark model, a hidden charmed tetraquark is assumed consisting of a $cq$ diquark and an $\bar c\bar q$ antidiquark or vice versa. The Semay-Silvestre-Brac potentials are employed to calculate the masses of $cq$ (q=u, d) diquarks. The mass of the $cq$ diquark or $\bar c\bar q$ antidiquark with spin-$0$ is predicted with $\sim 2175$ MeV, and the spin-$1$ one is predicted with $\sim 2220$ MeV. The masses of hidden charmed tetraquarks from $1S$ to $2P$ excitations are systemically calculated in terms of the same potentials. It is found that the mass of hidden charmed tetraquark without radial excitation grows higher in $1^{+-},~1^{++},~1^{--},~0^{-+},~0^{--},~1^{-+},~\cdots$ sequence, and the tetraquarks with exotic $J^{PC}=0^{--},~1^{-+}$ have higher masses. The hidden charmed tetraquarks with radial excitations have masses larger than $4300$ MeV. The $1S-1P$ and $1S-2S$ mass splittings of the hidden charmed tetraquarks are about $390-400$ MeV and $550-570$ MeV, respectively, which are about $70$ MeV and $50$ MeV smaller than those of normal charmonium. The $1P-2P$ and $2S-2P$ mass splittings are similar to those for conventional $c\bar c$ charmonium mesons. Based on our predicted masses for hidden charmed tetraquarks, some XYZ exotics are analyzed and tentatively assigned. $X^*(3860)$ is possibly the $0^{++}$ tetraquark. $Z_c(3900)$ and $X(3940)$ are possibly the $1^{+-}$ tetraquarks, and $X(3872)$ is possibly a $1^{++}$ tetraquark. $X(4250)$ may be a $0^{-+}$, $0^{++}$ or $1^{-+}$ tetraquark, $X(4240)$ may be a $0^{--}$ tetraquark. With radial excitations, $X(4350)$ may be a $0^{++}$ tetraquark, $Z_c(4430)$ may be a $1^{+-}$ tetraquark, $X(4630)$ may be a $0^{-+}$ or $1^{-+}$ tetraquark, and $X(Y)(4660)$ may be the $1^{--}$ tetraquark. $Y(4008)$ or $Y(4390)$ seems impossibly the $1^{--}$ tetraquark.

hep-ph

Mass spectra of doubly charmed tetraquarks $T_{cc}$

Motivated by the first observation of a doubly charmed tetraquark candidate $T_{cc}(3875)^+$, we perform a systematic calculation of the mass spectra of doubly charmed tetraquark states from $1S$ to $2P$ excitations in a nonrelativistic constituent quark potential model. In terms of the quark-quark potential, the mass of the charmed spin-$1$ diquark is predicted $\sim 3500$ MeV. The masses of the light ``good'' and ``bad'' antidiquark are calculated with $\sim 670$ MeV and $\sim 840$ MeV, respectively. The mass difference between light ``good'' and ``bad'' diquarks is $\sim 170$ MeV, which is consistent with previous phenomenological analyses. The interaction between the charmed diquark and the light antidiquark is then modulated by the quark-antiquark potential in the model, and the mass spectra of doubly charmed tetraquarks from $1S$ to $2P$ excitations are calculated with the calculated masses of diquarks/antidiquarks and refitted parameters from $T_{cc}(3875)^+$ and $X(3872)$. The $1S-1P$ and $1S-2S$ mass splittings of doubly charmed tetraquarks are about $410-430$ MeV and $610-650$ MeV, respectively, and this mass splittings pattern is similar to that for ordinary $D$ mesons. The mass splittings of doubly charmed tetraquarks with isospin-$0$ is about $10-25$ MeV higher than the corresponding mass splittings of doubly charmed tetraquarks with isospin-$1$ from $1S$ to $2P$ excitations. $T_{cc}(3875)^+$ is possible to be assumed as a $IJ^P=01^+$ ground doubly charmed tetraquark candidate with a light ``good'' antidiquark, and the next $P$-wave excited doubly charmed tetraquarks are predicted to have masses with an average $420-430$ MeV higher. A $J^P=0^+$ ground doubly charmed tetraquark $T_{cc}(3834)$ with isospin-$1$ located around $3834$ MeV is expected.

hep-ph

Mass spectrum of fully charmed $[cc][\bar c\bar c]$ tetraquarks

There are three $S$ and seven $P$ fully charmed $[cc][\bar c\bar c]$ tetraquarks, the mass spectrum from $1S$ to $2P$ excitations is calculated in a non-relativistic quark potential model. In the calculation, the interactions among four internal quarks/antiquark are approximated as a dominant color interaction between a diquark and an antidiquark, and a residual interaction responsible for the diquark/antidiquark cluster effect. The color interaction between the diquark and the antidiquark is characterized by the conventional Cornell potential, while the residual interaction is modeled as the Yukawa-type scalar $\sigma$ and vector $\omega$ boson exchange potentials. In the numerical results, though the scalar $\sigma$ and vector $\omega$ boson exchange interactions reduce the masses of $S-$wave $[cc][\bar c\bar c]$ tetraquarks $40-50$ MeV, they contribute to the masses of other $[cc][\bar c\bar c]$ tetraquarks small. The mass splittings of $[cc][\bar c\bar c]$ tetraquarks between different multiplets and within the same multiplet are smaller than those in charmonium, and the splittings are affected by the scalar $\sigma$ or vector $\omega$ boson exchange interactions small. Our calculations suggest that the observed $X(6600)$, $X(6900)$ and $X(7300)$ should be different radial excitations of $[cc][\bar c\bar c]$. The measurements of the $J^{PC}$ quantum numbers and the mass splittings will be helpful to identify and understand of the $[cc][\bar c\bar c]$ candidates.

hep-ph