Decays of tetraquark resonances in a two-variable approximation to the triple flip-flop potential

Journal Article · Sun May 01 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.094010· OSTI ID:21541597

Bicudo, P; Cardoso, M ^[1]

---

1. Dep. Fisica and CFTP, Instituto Superior Tecnico, Av. Rovisco Pais, 1049-001 Lisboa (Portugal)

We develop a unitarized formalism to study tetraquarks using the triple flip-flop potential, which includes two meson-meson potentials and the tetraquark four-body potential. This can be related to the Jaffe-Wilczek and to the Karliner-Lipkin tetraquark models, where we also consider the possible open channels, since the four quarks and antiquarks may at any time escape to a pair of mesons. Here we study a simplified two-variable toy model and explore the analogy with a cherry in a glass, but a broken one where the cherry may escape from. It is quite interesting to have our system confined or compact in one variable and infinite in the other variable. In this framework we solve the two-variable Schroedinger equation in configuration space. With the finite difference method, we compute the spectrum, we search for localized states and we attempt to compute phase-shifts. We then apply the outgoing spherical wave method to compute in detail the phase-shifts and to determine the decay widths. We explore the model in the equal mass case, and we find narrow resonances. In particular the existence of two commuting angular momenta is responsible for our small decay widths.

• OSTI ID: 21541597
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
ANTIMATTER
ANTIPARTICLES
ANTIQUARKS
APPROXIMATIONS
BOSONS
CALCULATION METHODS
CONFIGURATION
DECAY
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FINITE DIFFERENCE METHOD
FOUR-BODY PROBLEM
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
ITERATIVE METHODS
MANY-BODY PROBLEM
MASS
MATHEMATICAL SOLUTIONS
MATTER
MESON-MESON INTERACTIONS
MESONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE DECAY
PARTICLE INTERACTIONS
PHASE SHIFT
QUARKS
RESONANCE
SCHROEDINGER EQUATION
SIMULATION
SPECTRA
SPHERICAL CONFIGURATION
WAVE EQUATIONS