Masses of Heavy and Light Scalar Tetraquarks in a Non-Relativistic Quark Model

Abstract

Scalar tetraquark states are studied within the diquark-antidiquark picture in a non-relativistic approach. We consider two types of confining potentials, a quadratic and a linear one, to which we also add spin-spin, isospin-isospin, and spin-isospin interactions. We calculate the masses of the scalar diquarks and of the ground-state open and hidden charmed and bottom scalar tetraquarks. Our results indicate that the scalar resonances $D_0^{\ast }(2400)$ and $D_s(2632)$ have a sizable tetraquark amount in their wave function, while, on the other hand, it turns out that the scalar states $D_{s0}^{\ast }(2317)$ and $X(3915)$ should not be considered as being predominantly diquark-antidiquark bound states. We also investigate the masses of light scalar diquarks and tetraquarks, which are comparable to the measured masses of the light scalar mesons.

Accepted for publication in Acta Physica Polonica B

References in corpus (13)

• Heavy quarkonium: progress, puzzles, and opportunities
• The Exotic XYZ Charmonium-like Mesons
• Excited heavy tetraquarks with hidden charm
• Is f0(1710) a glueball?
• The nature of $\sigma$, $\kappa$, $a_0(980)$ and $f_0(980)$
• On the spectral functions of scalar mesons
• $a_0(980)$ revisited
• Strong and radiative decays of the scalars f0(980) and a0(980) in a hadronic molecule approach
• Masses of tetraquarks with open charm and bottom
• $K_0^{\ast }(800)$ as a companion pole of $K_0^{\ast }(1430)$
• Propagator poles and an emergent stable state below threshold: general discussion and the E(38) state
• Tetraquarks with charm in coupled-channel formalism
• Calculation of the eigenfunctions and eigenvalues of Schrödinger type equations by asymptotic Taylor expansion method (ATEM)

Cited by in corpus (4)

• Extending Chiral Perturbation Theory with an Isosinglet Scalar
• How tetraquarks can generate a second chiral phase transition
• Large N Scalars: From Glueballs to Dynamical Higgs Models
• Study of Electromagnetic Properties of Light Baryons in the Hypercentral Approach