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Diffusion Monte Carlo calculations of fully heavy compact hexaquarks

J. M. Alcaraz-Pelegrina, M. C. Gordillo

2022Physical review. D/Physical review. D.23 citationsDOIOpen Access PDF

Abstract

We used a diffusion Monte Carlo technique to describe the properties of fully heavy compact arrangements (no dibaryon molecules) including six quarks and no antiquarks within the framework of a constituent quark model. Only arrangements whose wavefunctions were eigenvectors of ${L}^{2}$ with eigenvalue $\ensuremath{\ell}=0$ were taken into account, what means that we only considered the subset of all the possible color-spin combinations that make the total wavefunctions antisymmetric with respect to the interchange of any two quarks of the same type. In all cases, the masses of the six-quark arrangements are larger than the ones corresponding to the sum of any of the two baryons we can split them into, but smaller than the ones for a set of six isolated quarks, i.e., all them are bound systems. The analysis of their structure indicates that all the hexaquarks considered in this work are compact objects, except the $cccbbb$, that appears to be a loose association of two baryons for all the possible spin values.

Topics & Concepts

PhysicsAntisymmetric relationQuarkBaryonWave functionMonte Carlo methodEigenvalues and eigenvectorsParticle physicsSpin (aerodynamics)Quantum mechanicsMathematical physicsMathematicsStatisticsThermodynamicsQuantum Chromodynamics and Particle InteractionsPhysics of Superconductivity and MagnetismHigh-Energy Particle Collisions Research
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