# Tetraquark bound states in the heavy-light heavy-light system

## Abstract

A calculation of the interaction potential of a heavy-light heavy-light (HLHL) system in lattice QCD is used to study the existence of tetraquark bound states. The interaction potential of the tetraquark system is calculated on the lattice with 2+1 flavours of dynamical fermions with lattice interpolating fields constructed using colorwave propagators. These propagators provide a new method for constructing all-to-all spatially smeared the interpolating fields, a technique which allows for a better overlap with the ground state wavefunction as well as reduced statistical noise. Lattice HLHL potentials are extracted for 24 distinct channels, and are fit with a phenomenological non-relativistic quark model potential, from which a determination of the existence of bound states is made via numerical solution of the two body radial Schroedinger equation.

- Authors:

- Publication Date:

- Research Org.:
- Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1057381

- Report Number(s):
- JLAB-THY-12-1643; DOE/OR/23177-2339; arXiv:1210.1953

- DOE Contract Number:
- AC05-06OR23177

- Resource Type:
- Journal Article

- Journal Name:
- Phys. Rev. D

- Additional Journal Information:
- Journal Volume: 86; Journal Issue: 11

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Konstantinos Orginos, Zachary Brown.
```*Tetraquark bound states in the heavy-light heavy-light system*. United States: N. p., 2012.
Web. doi:10.1103/PhysRevD.86.114506.

```
Konstantinos Orginos, Zachary Brown.
```*Tetraquark bound states in the heavy-light heavy-light system*. United States. doi:10.1103/PhysRevD.86.114506.

```
Konstantinos Orginos, Zachary Brown. Sat .
"Tetraquark bound states in the heavy-light heavy-light system". United States. doi:10.1103/PhysRevD.86.114506.
```

```
@article{osti_1057381,
```

title = {Tetraquark bound states in the heavy-light heavy-light system},

author = {Konstantinos Orginos, Zachary Brown},

abstractNote = {A calculation of the interaction potential of a heavy-light heavy-light (HLHL) system in lattice QCD is used to study the existence of tetraquark bound states. The interaction potential of the tetraquark system is calculated on the lattice with 2+1 flavours of dynamical fermions with lattice interpolating fields constructed using colorwave propagators. These propagators provide a new method for constructing all-to-all spatially smeared the interpolating fields, a technique which allows for a better overlap with the ground state wavefunction as well as reduced statistical noise. Lattice HLHL potentials are extracted for 24 distinct channels, and are fit with a phenomenological non-relativistic quark model potential, from which a determination of the existence of bound states is made via numerical solution of the two body radial Schroedinger equation.},

doi = {10.1103/PhysRevD.86.114506},

journal = {Phys. Rev. D},

number = 11,

volume = 86,

place = {United States},

year = {2012},

month = {12}

}