Double-charm Baryons Research Articles

Effective QCD string and doubly heavy baryons

Expressions for the potentials appearing in the nonrelativistic effective field theory description of doubly heavy baryons are known in terms of operator insertions in the Wilson loop. However, their evaluation requires nonperturbative techniques, such as lattice QCD, and the relevant calculations are often not available. We propose a parametrization of these potentials with a minimal model dependence based on an interpolation of the short- and long-distance descriptions. The short-distance description is obtained from weakly-coupled potential NRQCD and the long-distance one is computed using an effective string theory. The effective string theory coincides with the one for pure gluodynamics with the addition of a fermion field constrained to move on the string. We compute the hyperfine contributions to the doubly heavy baryon spectrum. The unknown parameters are obtained from heavy quark-diquark symmetry or fitted to the available lattice-QCD determinations of the hyperfine splittings. Using these parameters we compute the double charm and bottom baryon spectrum including the hyperfine contributions. We compare our results with those of other approaches and find that our results are closer to lattice-QCD determinations, in particular for the excited states. Furthermore, we compute the vacuum energy in the effective string theory and show that the fermion field contribution produces the running of the string tension and a change of sign in the L\"uscher term.

РАСЧЕТ РАСПАДОВ ДВАЖДЫ ОЧАРОВАННЫХ БАРИОНОВ

We calculated a subclass of four nonleptonic two-body weak decays of the double charm baryon ground states Ξcc++. Nonleptonic decays can be dividedinto two group: factorizable and nonfactorizable decays. The first one can be easily calculated from first principles. Therefore, its good example understands all pros and cons of a model. We focused on a weak two-body nonleptonic decay consists only fromthe factorizing contribution precluding a contamination from W-exchange. We use the covariant confined quark model previously developed by us to calculate the various helicity amplitudes which describe the dynamics of the transition induced by the Cabibbo-favored effective currents. Achievement of CCQM is that only size parameter Λvarying can describe all tree diagrams of nonleptonic decay. We then proceed to calculate the rates of the decay. The rates, branching ratios and helicity amplitude were calculated using dimensionless invariant form factors. Also, we calculated leptonic constant for scalar and vector mesons which has good agreement with experimental data. There isn’t any experimental data about the decay so we waiting for new experimental observation in the heavy baryon sector.

Weak decays of bottom-charm baryons: mathcal {B}_{bc}rightarrow mathcal {B}_bP

After the discovery of the double-charm baryon Xi _{cc}^{++} by LHCb, one of the most important topics is to search for the bottom-charm baryons which contain a b quark, a c quark and a light quark. In this work, we study the two-body non-leptonic weak decays of a bottom-charm baryon into a spin-1/2 bottomed baryon and a light pseudoscalar meson with the short-distance contributions calculated under the factorization hypothesis and the long-distance contributions considering the final-state-interaction effects. The branching fractions of all fifty-seven decay channels are estimated. The results indicate that Xi _{bc}^+rightarrow Xi _b^0pi ^+, Xi _{bc}^{0}rightarrow Xi _{b}^{-}pi ^+ and Omega _{bc}^0rightarrow Omega _b^-pi ^+ decay modes have relatively large decay rates and thus could be used to experimentally search for the bottom-charm baryons. The topological diagrams and the SU(3) symmetry of bottom-charm baryon decays are discussed.

Rescattering mechanism of weak decays of double-charm baryons * *Supported by the National Natural Science Foundation of China (11775117, U1732101, 11975112), and National Key Research and Development Program of China (2020YFA0406400)

The doubly charmed baryon was recently observed by LHCb via the decay processes of and . These discovery channels were successfully predicted in a framework in which the short-distance contributions are calculated under the factorization hypothesis and the long-distance contributions are estimated using the rescattering mechanism for the final-state-interaction effects. In this paper, we illustrate the above framework in detail by systematic studies on the two-body baryonic decays involving the doubly charmed baryons , the singly charmed baryons and the light pseudoscalar mesons .

Effective field theory for double heavy baryons at strong coupling

We present an effective field theory for doubly heavy baryons that goes beyond the compact heavy diquark approximation. The heavy-quark distance $r$ is only restricted to $m_Q\gg 1/r \gg E_{bin}$, where $m_Q$ is the mass of the heavy quark and $E_{bin}$ the typical binding energy. This means that the size of the heavy diquark can be as large as the typical size of a light hadron. We start from Non-Relativistic QCD, and build the effective field theory at next-to-leading in the $1/m_Q$ expansion. At leading order the effective field theory reduces to the Born-Oppenheimer approximation. The BO potentials are obtained from available lattice QCD data. The spectrum for double charm baryons below threshold is compatible with most of the lattice QCD results. We present for the first time the full spin averaged double bottom baryon spectrum below threshold based on QCD. We also present model-independent formulas for the spin splittings.

Analysis of the semileptonic and nonleptonic two-body decays of the double heavy charm baryon states Ξcc++,Ξcc+ and Ωcc+

We calculate the semileptonic and a subclass of sixteen nonleptonic two-body decays of the double charm baryon ground states $\Xi_{cc}^{++},\,\Xi_{cc}^{+}$ and $\Omega_{cc}^+$ where we concentrate on the nonleptonic decay modes. We identify those nonleptonic decay channels in which the decay proceeds solely via the factorizing contribution precluding a contamination from $W$-exchange. We use the covariant confined quark model previously developed by us to calculate the various helicity amplitudes which describe the dynamics of the $1/2^+ \to 1/2^+$ and $1/2^+ \to 3/2^+$ transitions induced by the Cabibbo favored effective $(c \to s)$ and $(d \to u)$ currents. We then proceed to calculate the rates of the decays as well as polarization effects and angular decay distributions of the prominent decay chains resulting from the nonleptonic decays of the double heavy charm baryon parent states.

Role of decay in the search for double-charm baryons

Invited viewpoint on the role of decay in the search of the single-charge double-charm baryon by the LHCb Collaboration.

Novel Ideas in Nonleptonic Decays of Double Heavy Baryons

The recent discovery of double charm baryon states by the LHCb Collaborarion and their high precision mass determination calls for a comprehensive analysis of the nonleptonic decays of double and single heavy baryons. Nonleptonic baryon decays play an important role in particle phenomenology since they allow for studying the interplay of long and short distance dynamics of the Standard Model (SM). Furthermore, they allow one to search for New Physics effects beyond the SM. We review recent progress in experimental and theoretical studies of the nonleptonic decays of heavy baryons with a focus on double charm baryon states and their decays. In particular, we discuss new ideas proposed by the present authors to calculate the W-exchange matrix elements of the nonleptonic decays of double heavy baryons. An important ingredient in our approach is the compositeness condition of Salam and Weinberg, and an effective implementation of infrared confinement both of which allow one to describe the nonperturbative structure of baryons composed of light and heavy quarks. Furthermore, we discuss an ab initio calculational method for the treatment of the so-called W-exchange diagrams generated by W ± boson exchange between quarks. We found that the W ± -exchange contributions are not suppressed in comparison with the tree-level (factorizing) diagrams and must be taken into account in the evaluation of matrix elements. Moreover, there are decay processes such as the doubly Cabibbo-suppressed decay Ξ c + → p ϕ recently observed by the LHCb Collaboration, which is contributed to only by one single W-exchange diagram.

Resolving the SELEX–LHCb double-charm baryon conflict: the impact of intrinsic heavy-quark hadroproduction and supersymmetric light-front holographic QCD

In this paper we review the hadroproduction mechanisms of doublecharm baryons for the different experimental environments and reinterpret the SELEX and LHCb results.

Resolving the SELEX\u2013LHCb double-charm baryon conflict: the impact of intrinsic heavy-quark hadroproduction and supersymmetric light-front holographic QCD

In this paper we show that the intrinsic heavy-quark QCD mechanism for the hadroproduction of heavy hadrons at large x_F can resolve the apparent conflict between measurements of double-charm baryons by the SELEX fixed-target experiment and the LHCb experiment at the LHC collider. We show that in fact both experiments are compatible, and that both can be correct. The observed spectroscopy of double-charm hadrons is in agreement with the predictions of supersymmetric light front holographic QCD.

Few-body quark dynamics for doubly heavy baryons and tetraquarks

We discuss the adequate treatment of the 3- and 4-body dynamics for the quark model picture of double-charm baryons and tetraquarks. We stress that the variational and Born-Oppenheimer approximations give energies very close to the exact ones, while the diquark approximation might be rather misleading. The Hall-Post inequalities also provide very useful lower bounds that exclude the possibility of stable tetraquarks for some mass ratios and some color wave functions.

Prediction of triple-charm molecular pentaquarks

In a one-boson-exchange model, we study molecular states of double-charm baryon ($\Xi_{cc}(3621)$) and a charmed meson ($D$ and $D^*$). Our model indicates that there exist two possible triple-charm molecular pentaquarks, a $\Xi_{cc}D$ state with $I(J^P)=0(1/2^-)$ and a $\Xi_{cc}D^*$ state with $I(J^P)=0(3/2^-)$. In addition, we also extend our formula to explore $\Xi_{cc}\bar{B}^{(*)}$, $\Xi_{cc}\bar{D}^{(*)}$, and $\Xi_{cc}B^{(*)}$ systems, and find more possible heavy flavor molecular pentaquarks, a $\Xi_{cc}\bar{B}$ state with $I(J^P)=0(1/2^-)$, a $\Xi_{cc}\bar{B}^*$ state with $I(J^P)=0(3/2^-)$, and $\Xi_{cc}\bar{D}^*/\Xi_{cc}B^*$ states with $I(J^P)=0(1/2^-)$. Experimental search for these predicted triple-charm molecular pentaquarks is encouraged.

Decay chain information on the newly discovered double charm baryon state Ξcc++

We interprete the new double charm baryon state found by the LHCb Collaboration in the invariant mass distribution of the set of final state particles $(\Lambda_c^+\,K^-\,\pi^+\,\pi^+)$ as being at the origin of the decay chain $\Xi_{cc}^{++} \to \Sigma_c^{++} (\to \Lambda_c^+ \pi^+) +\bar K^{*0} (\to K^- \pi^+)$. The nonleptonic decay $\Xi_{cc}^{++} \to \Sigma_c^{++} + \bar K^{*0}$ belongs to a class of decays where the quark flavor composition is such that the decay proceeds solely via the factorizing contribution precluding a contamination from internal $W$-exchange. We use the covariant confined quark model previously developed by us to calculate the four helicity amplitudes that describe the dynamics of the transition $\Xi_{cc}^{++} \to \Sigma_c^{++}$ induced by the effective $(c \to u)$ current. We then proceed to calculate the rate of the decay as well as the polarization of the $\Sigma_c^{++}$ and $\Lambda_c^+$ baryons and the longitudinal/transverse composition of the $\bar K^{*0}$. We estimate the decay $\Xi_{cc}^{++} \to \Sigma_c^{++} \bar K^{*0}$ to have a branching rate of $B(\Xi_{cc}^{++} \to \Sigma_c^{++} \bar K^{*0}) \sim 10.5 \%$. As a byproduct of our investigation we have also analyzed the decay $\Xi_{cc}^{++} \to \Sigma_c^{++} \bar K^{0}$ for which we find a branching ratio of $B(\Xi_{cc}^{++} \to \Sigma_c^{++} \bar K^0) \sim 2.5 \%$.

New Results on Heavy Flavor Baryons

Heavy flavor baryons are attractive systems for testing effective theories for weak lifetime and decay systematics. Recently, new experimental results have mitigated one historic problem in the weak lifetime systematics and continued another. The charm baryon system continues to show new high mass, narrow states well isolated from one another. The spectroscopy of these states will challenge new advances in lattice gauge theoretic calculations of baryon structure. Double charm baryons still are seen only by SELEX, which showed a new [Formula: see text] candidate. High-sensitivity searches by BELLE and BaBar show only featureless background.

Confirmation of the doubly charmed baryon [formula omitted](3520) via its decay to [formula omitted

We observe a signal for the doubly charmed baryon Ξcc+ in the decay mode Ξcc+→pD+K− to complement the previous reported decay Ξcc+→Λc+K−π+ in data from SELEX, the charm hadroproduction experiment at Fermilab. In this new decay mode we observe an excess of 5.62 events over a combinatoric background estimated by event mixing to be 1.38±0.13 events. The mixed background has Gaussian statistics, giving a signal significance of 4.8σ. The Poisson probability that a background fluctuation can produce the apparent signal is less than 6.4×10−4. The observed mass of this state is 3518±3 MeV/c2, consistent with the published result. Averaging the two results gives a mass of 3518.7±1.7 MeV/c2. The observation of this new weak decay mode confirms the previous SELEX suggestion that this state is a double charm baryon. The relative branching ratio for these two modes is 0.36±0.21.

Spectroscopy of doubly-charmed baryons in lattice QCD

We present results for masses of spin-1/2 and spin-3/2 double-charm baryons in quenched lattice QCD, from an exploratory study using a non-perturbatively improved clover action at beta=6.2. We have studied local operators and we observe, after appropriate projections, a good signal for the ground states. We also present results for single-charmed baryons and spin-splittings for both double- and single-charmed states.

Charmed baryons and heavy quark spectroscopy result from FOCUS

Using data taken at the Fermilab FOCUS experiment (FNAL-E831),w e have measured the lifetimes of the single charm baryons: σ c +, ϵ c +, ϵ c o . A premilinary lifetime measurement of the ω c o charm baryon will be also report our measurements of branching ratios for some σ c + decay modes and in particular the first measurement of the relative branching ratio for the Cabibbo suppressed decay mode σ c + → Σ +K ∗ (892) with respect to the Finally our search of the double charm baryons will be represented.

First observation of a family of double-charm baryons

The SELEX experiment (E781) at Fermilab has candidates for high mass states decaying to σ c +K − η + and σ c +K −pi + η +, Cabibbo-allowed decay modes of doubly nmodes of doubly-charnmed baryons ϵ cc + and ϵ cc ++. The masses are consistent with theoretical considerations, but the spectroscopy is surprising. Limited lifetime information suggests that τ ϵ cc ++ ∼ τ ϵ cc + .