Exactly Soluble Nonrelativistic Model of Particles with Both Electric and Magnetic Charges

1968 ◽  
Vol 176 (5) ◽  
pp. 1480-1488 ◽  
Author(s):  
Daniel Zwanziger
Keyword(s):  
Nonrelativistic Model

Nonrelativistic Model of Hadrons as Bound States ofNFermions

1969 ◽  
Vol 184 (5) ◽  
pp. 1510-1522
Author(s):  
Peter L. Wimmer
Keyword(s):  
Bound States ◽  
Nonrelativistic Model

scholarly journals TIME MACHINES AND THE PRINCIPLE OF SELF-CONSISTENCY AS A CONSEQUENCE OF THE PRINCIPLE OF STATIONARY ACTION (II): THE CAUCHY PROBLEM FOR A SELF-INTERACTING RELATIVISTIC PARTICLE

1996 ◽  
Vol 05 (05) ◽  
pp. 445-479 ◽  
Author(s):  
A. CARLINI ◽  
I.D. NOVIKOV
Keyword(s):  
Equations Of Motion ◽  
Cauchy Data ◽  
Classical Action ◽  
Minimal Action ◽  
Nonrelativistic Model ◽  
Self Consistent ◽  
The Cauchy Problem ◽  
Stationary Action ◽  
Ill Posed ◽  
Self Consistency

We consider the action principle to derive the classical, relativistic motion of a selfinteracting particle in a 4D Lorentzian spacetime containing a wormhole and which allows the existence of closed time-like curves. In particular, we study the case of a pointlike particle subject to a “hard-sphere” self-interaction potential and which can traverse the wormhole an arbitrary number of times, and show that the only possible trajectories for which the classical action is stationary are those which are globally self-consistent. Generically, the multiplicity of these trajectories (defined as the number of self-consistent solutions to the equations of motion beginning with given Cauchy data) is finite, and it becomes infinite if certain constraints on the same initial data are satisfied. This confirms the previous conclusions (for a nonrelativistic model) by Echeverria, Klinkhammer and Thorne that the Cauchy initial value problem in the presence of a wormhole “time machine” is classically “ill-posed” (far too many solutions). Our results further extend the recent claim by Novikov et al. that the “principle of self-consistency” is a natural consequence of the “principle of minimal action.”

scholarly journals PURE LEPTONIC RADIATIVE DECAYS B±, Ds→ℓνγ AND THE ANNIHILATION GRAPH

1996 ◽  
Vol 11 (13) ◽  
pp. 1061-1067 ◽  
Author(s):  
DAVID ATWOOD ◽  
GAD EILAM ◽  
AMARJIT SONI
Keyword(s):  
Photon Emission ◽  
Radiative Decays ◽  
Dominant Contribution ◽  
Nonrelativistic Model ◽  
Light Mesons

Pure leptonic radiative decays of heavy-light mesons are calculated using a very simple nonrelativistic model. For B± the dominant contribution originates from photon emission from light initial quark. Emission of the photon overcomes the helicity suppression and leads to Br (B±→ℓνγ)~3.5×10–6 (which is about 16 times more than Br (B±→µ+ν)). Also, we find Br (Ds→ℓνγ)~2.6×10–5. The importance of these reactions in clarifying the dynamics of the annihilation graph is emphasized.

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