Meson annihilation form factor and relativistic wave function for bound states

1983 ◽  
Vol 54 (3) ◽  
pp. 242-248
Author(s):  
V. I. Savrin ◽  
N. B. Skachkov
Keyword(s):  
Wave Function ◽  
Form Factor ◽  
Bound States ◽  
Relativistic Wave ◽  
Relativistic Wave Function

scholarly journals POSITRONIUM DECAY: GAUGE INVARIANCE AND ANALYTICITY

2002 ◽  
Vol 17 (10) ◽  
pp. 1355-1398 ◽  
Author(s):  
J. PESTIEAU ◽  
C. SMITH ◽  
S. TRINE
Keyword(s):  
Wave Function ◽  
Form Factor ◽  
Binding Energy ◽  
Gauge Invariance ◽  
Dispersion Relations ◽  
Decay Rates ◽  
Effective Form ◽  
Theoretical Predictions ◽  
Positronium Decay ◽  
Analysis Of Binding Energy

The construction of positronium decay amplitudes is handled through the use of dispersion relations. In this way, emphasis is put on basic QED principles: gauge invariance and soft-photon limits (analyticity).A firm grounding is given to the factorization approaches, and some ambiguities in the spin and energy structures of the positronium wave function are removed. Nonfactorizable amplitudes are naturally introduced. Their dynamics are described, especially regarding the enforcement of gauge invariance and analyticity through delicate interferences. The important question of the completeness of the present theoretical predictions for the decay rates is then addressed. Indeed, some of those nonfactorizable contributions are unaccounted for by NRQED analyses. However, it is shown that such new contributions are highly suppressed, being of [Formula: see text].Finally, a particular effective form factor formalism is constructed for parapositronium, allowing a thorough analysis of binding energy effects and analyticity implementation.

The charge form factor of the model triton for two-particle interactions with continuum bound states

1981 ◽  
Vol 59 (2) ◽  
pp. 225-230 ◽  
Author(s):  
G. Pantis ◽  
H. Fiedeldey ◽  
D. W. L. Sprung
Keyword(s):  
Form Factor ◽  
Bound States ◽  
Bound State ◽  
Interesting Case ◽  
Charge Form Factor ◽  
Particle Interactions ◽  
Charge Form ◽  
Nonlocal Interactions ◽  
Asymptotic Shape ◽  
Three Body

The charge form factor of the model triton clearly exhibits the collapse which occurs in the triton for purely nonlocal two-body interactions with continuum bound states and approaches an asymptotic shape with increasing binding energy. However, partly nonlocal interactions with continuum bound states, which previously have been shown not to produce such a collapse, also show no evidence whatsoever of the presence of the two-particle continuum bound state in the triton charge form factor. In the physically interesting case of partly nonlocal interactions the occurrence of a continuum bound state in the two-body interactions therefore can be completely harmless in the three-body system.

Bound state energy and wave function of tetraquark b̄b̄ud from lattice QCD potential

2019 ◽  
Vol 34 (27) ◽  
pp. 1950220
Author(s):  
F. Chezani Sharahi ◽  
M. Monemzadeh ◽  
A. Abdoli Arani
Keyword(s):  
Wave Function ◽  
Lattice Qcd ◽  
Bound States ◽  
State Energy ◽  
Energy State ◽  
Light Quark ◽  
Bound State ◽  
Bound State Energy ◽  
Quark System ◽  
Oppenheimer Approximation

In this study, the bound state energy of a four-quark system was analytically calculated as a two heavy–heavy anti-quarks [Formula: see text] and two light–light quarks [Formula: see text]. Tetraquark was assumed to be a bound state of two-body system consisting of two mesons, each containing a light quark and a heavy antiquark. Due to the presence of heavy mesons in the tetraquark, Born–Oppenheimer approximation was used to study its bound states. To assess the bounding energy, Schrödinger equation was solved using lattice QCD [Formula: see text] potential, having expanded the tetraquark potential [Formula: see text] up to 11th term. Binding energy state and wave function, however, were obtained in the scalar [Formula: see text] channel. Graphical results for wave functions obtained versus antiquark–antiquark distance [Formula: see text] confirmed the existence of the tetraquark [Formula: see text]. Analytical bound state energy obtained here was in good agreement with several numerical ones published in the literature, confirming the accuracy of the approach taken here.

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