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 (2400) and Ds(2632) have a sizable tetraquark amount in their wave function, while, on the other hand, it turns out that the scalar states D * s0 (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.

Extending chiral perturbation theory with an isosinglet scalar

“…As for the relevant interpretation in terms of a four-quark state [1][2][3][4][5][6][7][8][9][10][45][46][47][48][49][50][51] one can envision different underlying realisations that range from this state emerging prevalently as bound state of pions to having a more compact wave-function at the quark level. Each of these possibilities will lead to specific predictions for the LECs that can, in principle, be obtained within model computations.…”

“…SU(2) L × SU(2) R → SU (2) V and SU (4) → Sp (4). The first breaking pattern has direct relevance for the interpretation of the f 0 (500) in QCD [1][2][3][4][5][6][7][8][9][10] as well as the emergence of a potentially light scalar state in near conformal theories with two Dirac fermions in a complex representation of the gauge group, such as the two-index symmetric representation of SU(3) [11][12][13]. The second breaking pattern emerges when two Dirac fermions belong to the fundamental representation of Sp(2N) which for N = 1 corresponds to SU (2).…”

In the Pursuit of $X(5568)$ and its Charmed Partner

“…taking the derivative of the pole residue sum rule in Eq. (24) in terms of (−1/M 2 ) and next dividing by itself, we can reach the thermal mass SVZSR of the considered hadronic state being M 2 the Borel mass parameter and s 0 (T ) thermal continuum threshold parameter, respectively:…”

Study of Electromagnetic Properties of Light Baryons in the Hypercentral Approach

“…In our previous studies, we have presented the different methods to solve the non-relativistic two-and three-body problems [27,28,29,30].…”