arXiv subjects

H. Garcilazo

Publications and source records attributed to H. Garcilazo.

At least 19 recordsLinked to original sources

arXiv2025

Pauli principle forbids $\Omega_{QQQ}\Omega_{QQQ}\Omega_{QQQ}$ bound states

Lattice QCD studies have shown the attractive character of the $^1S_0$ $\Omega_{QQQ}\Omega_{QQQ}$, $Q=s,c,b$, interaction, predicting deeply bound states as the mass of the heavy quark increases. This has led to the question of the possible existence of bound states of more than two $\Omega_{QQQ}$ baryons, in particular $\Omega_{QQQ}\Omega_{QQQ}\Omega_{QQQ}$ bound states. We discuss how these states might not exist in nature in any flavor sector. The reason would be due to the simultaneous action of two consequences of the Pauli principle in the different partial waves: one at the baryon level, affecting the $^1S_0$ partial wave, and the other due to the quark substructure, affecting the $^5S_2$ partial wave.

hep-ph↗

arXiv2025

$\Omega_{bbb}\Omega_{bbb}\Omega_{bbb}$ tribaryons

We study the possible existence of bound states of three $\Omega_{bbb}$ baryons. We consider only $S$ wave interactions and we start from recent lattice QCD results which give a strongly attractive potential between two $\Omega_{bbb}$ baryons in the $^1S_0$ channel. We analyze different scenarios. At baryonic level, the $\Omega_{bbb}\Omega_{bbb}$ interaction could be understood to be basically spin-independent, so that the two contributing channels, $^1S_0$ and $^5S_2$, would have a very similar interaction. This baryonic analysis leads to the existence of bound states in the three-body system. At the quark level, repulsive effects would appear in the $^5S_2$ channel, making it more repulsive than the $^1S_0$ channel. We study the effect of such repulsion in terms of its range.

hep-ph↗

arXiv2022

Hidden-flavor pentaquarks

We have recently studied hidden-charm pentaquarks, $c\bar c qqq$, using dynamical correlations between the heavy quarks arising from the Coulomb-like nature of the short-range interaction. A pattern was obtained that compares well with the experimental data. We extend our description to other flavor sectors which can be framed within the same type of structures discussed in the original paper. A detailed comparison is made with other results in the literature and with experimental data. Predictions will be a useful tool to discriminate between different models of multiquark system dynamics.

hep-ph↗

arXiv2022

$(I,J^P)=(1,1/2^+)$ $ΣNN$ quasibound state

JLab has recently found indications of the possible existence of a $ΣNN$ resonance at $(3.14 \pm 0.84) - i (2.28 \pm 1.2)$ MeV. In the past, using models that exploit symmetries between the two-baryon sector with and without strangeness, hyperon-nucleon interactions have been derived that reproduce the experimental data of the strangeness $-1$ sector. We make use of these interactions to review existing Faddeev studies of the $ΛNN$-$ΣNN$ system that show theoretical evidences about a $(I,J^P)=(1,1/2^+)$ $ΣNN$ quasibound state near threshold. The calculated position of the pole is at 2.92$\,-i\,$2.17 MeV, in reasonable agreement with the experimental findings.

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arXiv2022

Constituent quark-model hidden-flavor pentaquarks

We study hidden-flavor pentaquarks, $Q\bar Q qqq$, based on a constituent quark-model with a standard quark-quark interaction that reproduces the low-energy meson and baryon spectra. We make use of dynamical correlations between the heavy quarks arising from the Coulomb-like nature of the short-range interaction. A detailed comparison is made with other results in the literature and with experimental data. Our results show a different pattern for open-flavor and hidden-flavor pentaquarks, as suggested by the data. Further implications about the existence of quarkonia bound to nuclei are discussed.

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arXiv2020

Doubly charmed multibaryon systems

We study two- and three-baryon systems with two units of charm looking for possible bound states or resonances. All two-baryon interactions are consistently derived from a constituent quark model tuned in the light-flavor hadron phenomenology: spectra and interactions. The presence of the heavy quarks makes the two-body interactions simpler than in the light-flavor sector. Our results show a narrow two-body resonance with quantum numbers $(I,J^P)=(0,0^+)$. It is located 6.2 MeV below the $Σ_cΣ_c$ threshold and has a width of 4.7 MeV. The foregoing two-body state contributes to generate a $N Σ_cΣ_c$ resonance with quantum numbers $(I,J^P)=(1/2,1/2^+)$ and a separation energy of 0.2 MeV.

hep-ph↗

arXiv2020

Stable bound states of $N$'s, $\Lambda$'s, and $\Xi$'s

We review our recent work about the stability of strange few-body systems containing $N$'s, $\Lambda$'s, and $\Xi$'s. We make use of local central Yukawa-type Malfliet-Tjon interactions reproducing the low-energy parameters and phase shifts of the nucleon-nucleon system and the latest updates of the hyperon-nucleon and hyperon-hyperon ESC08c Nijmegen potentials. We solve the three- and four-body bound-state problems by means of Faddeev equations and a generalized Gaussian variational method, respectively. The hypertriton, $\Lambda np$ $(I)J^P=(1/2)1/2^+$, is bound by 144 keV; the recently discussed $\Lambda nn$ $(I)J^P=(1/2)1/2^+$ system is unbound, as well as the $\Lambda\Lambda nn$ $(I)J^P=(1)0^+$system, being just above threshold. Our results indicate that the $\Xi NN$, $\Xi\Xi N$ and $\Xi\Xi NN$ systems with maximal isospin might be bound.

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arXiv2020

Hidden and open heavy-flavor hadronic states

We discuss the stability of hidden and open heavy-flavor hadronic states made of either two or three mesons. References are made in passing to studies regarding two and three-body systems containing baryons. We perform a comparative study analyzing the results in terms of quark and hadron degrees of freedom. Compact and molecular states are found to exist in very specific situations. We estimate the decay width for the different scenarios: weak decays for bound states by the strong interaction, and strong decays for hadronic resonances above a decay threshold. The experimental observation of narrow hadrons lying well above their lowest decay threshold is theoretically justified.

hep-ph↗

arXiv2020

$ΛΛN$-$ΞNN$ $S$ wave resonance

We use an existing model of the $ΛΛN - ΞNN$ three-body system based in two-body separable interactions to study the $(I,J^P)=(1/2,1/2^+)$ three-body channel. For the $ΛΛ$, $ΞN$, and $ΛΛ- ΞN$ amplitudes we have constructed separable potentials based on the most recent results of the HAL QCD Collaboration. They are characterized by the existence of a resonance just below or above the $ΞN$ threshold in the so-called $H$-dibaryon channel, $(i,j^p)=(0,0^+)$. A three-body resonance appears {2.3} MeV above the $Ξd$ threshold. We show that if the $ΛΛ- ΞN$ $H$-dibaryon channel is not considered, the $ΛΛN - ΞNN$ $S$ wave resonance disappears. Thus, the possible existence of a $ΛΛN - ΞNN$ resonance would be sensitive to the $ΛΛ- ΞN$ interaction. The existence or nonexistence of this resonance could be evidenced by measuring, for example, the $Ξd$ cross section.

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arXiv2020

Neutral baryonic systems with strangeness

We review the status as regards the existence of three- and four-body bound states made of neutrons and $Λ$ hyperons. For interesting cases, the coupling to neutral baryonic systems made of charged particles of different strangeness has been addressed. There are strong arguments showing that the $Λnn$ system has no bound states. $ΛΛnn$ strong stable states are not favored by our current knowledge of the strangeness $-1$ and $-2$ baryon-baryon interactions. However, a possible $Ξ^- t$ quasibound state decaying to $ΛΛnn$ might exist in nature. Similarly, there is a broad agreement about the nonexistence of $ΛΛn$ bound states. However, the coupling to $ΞNN$ states opens the door to a resonance above the $ΛΛn$ threshold.

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arXiv2019

$Ξ^- t$ quasibound state instead of $ΛΛnn$ bound state

We study the coupled $ΛΛnn-Ξ^- pnn$ system to check whether the inclusion of channel coupling is able to bind the $ΛΛnn$ system. We use a separable potential three-body model of the coupled $ΛΛnn - Ξ^- pnn$ system as well as a variational four-body calculation with realistic interactions. Our results exclude the possibility of a $ΛΛnn$ bound state by a large margin. However, we have found a $Ξ^- t$ quasibound state above the $ΛΛnn$ threshold.

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arXiv2019

Charmed baryon$-$nucleon interaction

We present a comparative study of the charmed baryon$-$nucleon interaction based on different theoretical approaches. For this purpose, we make use of i) a constituent quark model tuned in the light-flavor baryon$-$baryon interaction and the hadron spectra, ii) existing results in the literature based both on hadronic and quark-level descriptions, iii) (2+1)-flavor lattice QCD results of the HAL QCD Collaboration at unphysical pion masses and their effective field theory extrapolation to the physical pion mass. There is a general qualitative agreement among the different available approaches to the charmed baryon$-$nucleon interaction. Different from hadronic models based on one-boson exchange potentials, quark$-$model based results point to soft interactions without two-body bound states. They also support a negligible channel coupling, due either to tensor forces or to transitions between different physical channels, $Λ_c N - Σ_c N$. Short-range gluon and quark-exchange dynamics generate a slightly larger repulsion in the $^1S_0$ than in the $^3S_1$ $Λ_c N$ partial wave. A similar asymmetry between the attraction in the two $S$ waves of the $Λ_c N$ interaction also appears in hadronic approaches. A comparative detailed study of Pauli suppressed partial waves, as the $^1S_0 (I=1/2)$ and $^3S_1 (I=3/2)$ $Σ_c N$ channels, would help to disentangle the short-range dynamics of two-baryon systems containing heavy flavors. The possible existence of charmed hypernuclei is discussed.

hep-ph↗

arXiv2019

$ΩNN$ and $ΩΩN$ states

The lattice QCD analysis of the HAL QCD Collaboration has recently derived $ΩN$ and $ΩΩ$ interacting potentials with nearly physical quark masses ($m_π\simeq $ 146 MeV and $m_K \simeq $ 525 MeV). They found an attractive interaction in the $ΩN$ $^5S_2$ channel which supports a bound state with a central binding energy of 1.54 MeV. The $ΩΩ$ $^1S_0$ channel shows an overall attraction with a bound state with a central binding energy of 1.6 MeV. In this paper we looked closely at the $ΩNN$ and $ΩΩN$ three-body systems making use of the latest HAL QCD Collaboration $ΩN$ and $ΩΩ$ interactions. Our results show that the $Ωd$ system in the state with maximal spin $(I)J^P=(0)5/2^+$ is bound with a binding energy of about 20 MeV. The $(I)J^P=(1)3/2^+$ $Ωnn$ state presents a resonance decaying to $ΛΞn$ and $ΣΞn$, with a separation energy of $\sim$ 1 MeV. The $(I)J^P=(1/2)1/2^+$ $ΩΩN$ state also exhibits a resonance decaying to $ΛΞΩ$ and $ΣΞΩ$, with a separation energy of $\sim$ 4.6 MeV. We have calculated the contribution of the Coulomb potential to differentiate among the different charged states.

hep-ph↗

arXiv2018

$Ωd$ bound state

The lattice QCD analyses of the HAL QCD Collaboration predicts a strongly attractive potential in the $ΩN$ $^5S_2$ channel which supports a bound state. In this paper we show that this $ΩN$ channel together with the $NN$ $^3S_1$ channel give rise to a $Ωd$ bound state in the state with maximal spin $(I,J^P)=(0,5/2^+)$ with a binding energy of $\sim$ 17 MeV.

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arXiv2018

$T_{bbb}$: a three $B-$meson bound state

By solving exactly the Faddeev equations for the bound-state problem of three mesons, we demonstrate that current theoretical predictions pointing to the existence of a deeply-bound doubly bottom axial vector tetraquark lead to the existence of a unique bound state of three $B$ mesons. We find that the $BB^*B^*-B^*B^*B^*$ state with quantum numbers $(I)J^P=(1/2)2^-$, $T_{bbb}$, is about 90\,MeV below any possible three $B$-meson threshold for the reported binding of the doubly bottom axial vector tetraquark, $T_{bb}$.

hep-ph↗

arXiv2018

Effect of thresholds on the width of three-body resonances

It has been recently reported an intriguing theoretical result of a narrow three-body resonance with a large available phase space. The resonance was reported in the $NΛΛ-ΞNN$ system near the $Ξd$ threshold, having a very small width in spite of the open $NΛΛ$ channel lying around 23 MeV below the $ΞNN$ channel. We use first-order perturbation theory as a plausible argument to explain this behavior. We apply our result to realistic local interactions. Other systems involving several thresholds are likely to follow the same behavior.

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arXiv2018

Width of a two-body coupled-channel resonance

We study the width of a two-body resonance in a coupled-channel system. We demonstrate how the width does not come only determined by the available phase space for its decay to the detection channel, but it greatly depends on the relative position of the mass of the resonance with respect to the masses of the coupled-channels generating the state. Our results are consistent with the experimental observation of narrow hadrons lying well above their lowest decay threshold.

hep-ph↗

arXiv2017

The ${}_{ΛΛ}^{\,\,\,\,4}n$ system

Using local central Yukawa-type Malfliet-Tjon interactions reproducing the low-energy parameters and phase shifs of the $nn$ system and the latest updates of the $nΛ$ and $ΛΛ$ Nijmegen ESC08c potentials we study the possible existence of a ${}_{ΛΛ}^{\,\,\,\,4}n$ bound state. Our results indicate that the ${}_{ΛΛ}^{\,\,\,\,4}n$ is unbound, being just above threshold. We discuss the role played by the $^1S_0$ $nn$ repulsive term of the Yukawa-type Malfliet-Tjon interaction.

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