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Register a new userEvaluation of Spectra of Baryons Containing Two Heavy Quarks in Bag Model
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In this work, we evaluate the energy spectra of baryons which consist of two heavy and one light quarks in the MIT bag model. The two heavy quarks constitute a heavy scalar or axial vector diquark. Concretely, we calculate the spectra of $|q(QQ)>_{1/2}$ and $|q(QQ)>_{3/2}$ where $Q$ and $Q$ stand for $b$ and/or $c$ quarks. Especially, for $|q(bc)>_{1/2}$ there can be a mixing between $|q(bc)_0>_{1/2}$ and $|q(bc)_1>_{1/2}$ where the subscripts 0 and 1 refer to the spin state of the diquark (bc), the mixing is not calculable in the framework of quantum mechanics (QM) as the potential model is employed, but can be evaluated by the quantum field theory (QFT). Our numerical results indicate that the mixing is sizeable
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The excitation energy spectra are investigated by using diquark models in order to discuss the possibility of the existence of the diquark as a constituent of the single heavy baryons. We consider two diquark models in which the diquark is treated as a constituent of baryons together with a heavy baryon. In model A the diquark is a point-like particle, while it is a spatially extended object in model B. We determine the masses of scalar and axial vector diquarks by the ground state masses of the charmed baryons. We find that both models reproduce well the excitation energy spectra of the charmed and bottomed baryons, whereas the string tension of the confinement potential in model A should be a half of that of the charmonium and Model B overestimates the 2s excitation energy.
Baryons with one or more heavy quarks have been shown, in the context of a nonrelativistic description, to exhibit mass inequalities under permutations of their quarks, when spin averages are taken. These inequalities sometimes are invalidated when spin-dependent forces are taken into account. A notable instance is the inequality $2E(Mmm) > E(MMm) + E(mmm)$, where $m = m_u = m_d$, satisfied for $M = m_b$ or $M = m_c$ but not for $M = m_s$, unless care is taken to remove effects of spin-spin interactions. Thus in the quark-level analog of nuclear fusion, the reactions $Lambda_b Lambda_b to Xi_{bb}N$ and $Lambda_c Lambda_c to Xi_{cc}^{++}n$ are exothermic, releasing respectively 138 and 12 MeV, while $Lambda Lambda to Xi N$ is endothermic, requiring an input of between 23 and 29 MeV. Here we explore such mass inequalities in the context of an approach, previously shown to predict masses successfully, in which contributions consist of additive constituent-quark masses, spin-spin interactions, and additional binding terms for pairs each member of which is at least as heavy as a strange quark.
In this work, we compute masses and magnetic moments of the heavy baryons and tetraquarks with one and two open heavy flavors in a unified framework of MIT bag model. Using the parameters of MIT bag model, we confirm that an extra binding energy, which is supposed to exist between heavy quarks ($c$ and $b$) and between heavy and strange quarks in literatures, is required to reconcile light hadrons with heavy hadrons. Numerical calculations are made for all light mesons, heavy hadrons with one and two open heavy flavors, predicting the mass of doubly charmed baryons to be $M(Xi _{cc})=3.604$ GeV, $M(Xi _{cc}^{ast })=3.714$ GeV, and that of the strange isosinglet tetraquark $udbar{s}bar{c}$ with $J^{P}=0^{+}$ to be $Mleft( udbar{s}bar{c},0^{+}right) =2.934$ GeV. The state mixing due to chromomagnetic interaction is shown to be sizable for the strange scalar tetraquark $nnbar{s}bar{c}$.
We study the spectra of heavy-light and heavy-heavy mesons containing charm quarks, including higher spin states. We use two sets of $N_f = 2 + 1$ gauge configurations, one set from QCDSF using the SLiNC action, and the other configurations from the Budapest-Marseille-Wuppertal collaboration, using the HEX smeared clover action. To extract information about the excited states, we choose a suitable basis of operators to implement the variational method.
We report the observation of two resonance-like structures in the $pi^+ chi_{c1}$ invariant mass distribution near 4.1 GeV in exclusive $Bto Kpi^+chi_{c1}$ decays. A detailed Dalitz-plot analysis demonstrates that these structures cannot be produced by reflections from any known and possibly unknown resonances in the $Kpi$ channel. If these two peaks are produced by resonances in the $pi^+chi_{c1}$ channel, their minimal quark structure would have to be a $cbar{c}ubar{d}$ tetraquark arrangement, similar to that proposed for the $Z^+(4430)$ structure reported by Belle last year in the $pi^+psi^{}$ mass distribution produced in $Bto Kpi^+psi^{}$ decays. In addition, we report some new measurements on the properties of the X(3872) meson and the $1^{--}$ $Y$ states that are produced with initial state radiation. %and also other latest XYZ results. The analyses are based on a large data sample recorded at the $Upsilon(4S)$ resonances and nearby continuum with the Belle detector at the KEKB asymmetric-energy $e^+e^-$ collider.
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