Light-front Hamiltonian approach to relativistic two- and three-body bound-state problems in 1+1 dimensions

1988 ◽  
Vol 37 (4) ◽  
pp. 1064-1069 ◽  
Author(s):  
A. Harindranath ◽  
J. P. Vary
Keyword(s):  
Bound State ◽  
Light Front ◽  
Hamiltonian Approach ◽  
Three Body

Light front Hamiltonian for boson form of QED (1 + 1) in Pauli–Villars regularization

2019 ◽  
Vol 34 (21) ◽  
pp. 1950113
Author(s):  
V. A. Franke ◽  
M. Yu. Malyshev ◽  
S. A. Paston ◽  
E. V. Prokhvatilov ◽  
M. I. Vyazovsky
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Chiral Condensate ◽  
Light Front ◽  
Coupling Constants ◽  
Hamiltonian Approach ◽  
Chiral Perturbation ◽  
Dimensional Models ◽  
Villars Regularization ◽  
Ultraviolet Regularization

Light front (LF) Hamiltonian for QED in [Formula: see text] dimensions is constructed using the boson form of this model with additional Pauli–Villars-type ultraviolet regularization. Perturbation theory, generated by this LF Hamiltonian, is proved to be equivalent to usual covariant chiral perturbation theory. The obtained LF Hamiltonian depends explicitly on chiral condensate parameters which enter in a form of some renormalization of coupling constants. The obtained results can be useful when one attempts to apply LF Hamiltonian approach for [Formula: see text]-dimensional models like QCD.

Derivation of the three-body bound-state equation from the effective action

1989 ◽  
Vol 40 (8) ◽  
pp. 2654-2661 ◽  
Author(s):  
M. Komachiya ◽  
M. Ukita ◽  
R. Fukuda
Keyword(s):  
Effective Action ◽  
Bound State ◽  
State Equation ◽  
Three Body

Note on radiationless transitions involving three-body collisions

1936 ◽  
Vol 32 (3) ◽  
pp. 482-485 ◽  
Author(s):  
R. A. Smith
Keyword(s):  
Continuous Spectrum ◽  
Negative Ions ◽  
Bound State ◽  
Excess Energy ◽  
Negative Ion ◽  
Positive Ions ◽  
Continuous State ◽  
Direct Formation ◽  
Three Body ◽  
Positive Ion

When an electron makes a transition from a continuous state to a bound state, for example in the case of neutralization of a positive ion or formation of a negative ion, its excess energy must be disposed of in some way. It is usually given off as radiation. In the case of neutralization of positive ions the radiation forms the well-known continuous spectrum. No such spectrum due to the direct formation of negative ions has, however, been observed. This process has been fully discussed in a recent paper by Massey and Smith. It is shown that in this case the spectrum would be difficult to observe.

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.

scholarly journals Dynamics of charged excitons in electronically and morphologically homogeneous single-walled carbon nanotubes

2018 ◽  
Vol 115 (4) ◽  
pp. 674-679 ◽  
Author(s):  
Yusong Bai ◽  
Jean-Hubert Olivier ◽  
George Bullard ◽  
Chaoren Liu ◽  
Michael J. Therien
Keyword(s):  
Carbon Nanotubes ◽  
Single Walled Carbon Nanotubes ◽  
Bound State ◽  
Single Walled Carbon ◽  
Morphological Heterogeneity ◽  
Fundamental Insight ◽  
Carrier Doping ◽  
Three Body ◽  
Probe Spectroscopy ◽  
Walled Carbon Nanotubes

The trion, a three-body charge-exciton bound state, offers unique opportunities to simultaneously manipulate charge, spin, and excitation in one-dimensional single-walled carbon nanotubes (SWNTs) at room temperature. Effective exploitation of trion quasi-particles requires fundamental insight into their creation and decay dynamics. Such knowledge, however, remains elusive for SWNT trion states, due to the electronic and morphological heterogeneity of commonly interrogated SWNT samples, and the fact that transient spectroscopic signals uniquely associated with the trion state have not been identified. Here, we prepare length-sorted SWNTs and precisely control charge-carrier-doping densities to determine trion dynamics using femtosecond pump–probe spectroscopy. Identification of the trion transient absorptive hallmark enables us to demonstrate that trions (i) derive from a precursor excitonic state, (ii) are produced via migration of excitons to stationary hole-polaron sites, and (iii) decay in a first-order manner. Importantly, under appropriate carrier-doping densities, exciton-to-trion conversion in SWNTs can approach 100% at ambient temperature. Our findings open up possibilities for exploiting trions in SWNT optoelectronics, ranging from photovoltaics and photodetectors to spintronics.

On the formulation of two- and three-body relativistic equations employing light-front dynamics

1979 ◽  
Vol 158 (2-3) ◽  
pp. 497-519 ◽  
Author(s):  
B.L.G. Bakker ◽  
L.A. Kondratyuk ◽  
M.V. Terent'ev
Keyword(s):  
Light Front ◽  
Three Body ◽  
Relativistic Equations ◽  
Front Dynamics
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