Exact Energy of the Two and Three-Body Interactions in the Trigonometric Three-Body Problem via Jack Polynomials

2019 ◽  
Vol 60 (3) ◽  
Author(s):  
H. Rahmati ◽  
A. Latifi
Keyword(s):  
Body Problem ◽  
Jack Polynomials ◽  
Three Body Problem ◽  
Three Body ◽  
Exact Energy

scholarly journals Relativistic oscillator model with spin for nucleon resonances

Open Physics ◽  
2013 ◽  
Vol 11 (8) ◽  
Author(s):  
Dmitry Kulikov ◽  
Ivan Uvarov ◽  
Arkadiy Yaroshenko
Keyword(s):  
Energy Spectrum ◽  
Total Energy ◽  
Body Problem ◽  
Oscillator Model ◽  
Three Body Problem ◽  
Regge Trajectories ◽  
Nucleon Resonances ◽  
Three Body ◽  
Relativistic Oscillator ◽  
Exact Energy

AbstractThe relativistic three-body problem is approached via the extension of the SL(2, C) group to the Sp(4, C) one. In terms of Sp(4, C) spinors, a Dirac-like equation with three-body kinematics is composed. After introducing the linear in coordinates interaction, it describes the spin-1/2 oscillator. For this system, the exact energy spectrum is derived and then applied to fit the Regge trajectories of baryon N-resonances in the (E 2, J) plane. The model predicts linear trajectories at high total energy E with some form of nonlinearity at low E.

Rigid-Rotator and Fixed-Shape Solutions to the Coulomb Three-Body Problem

1997 ◽  
Vol 22 (1) ◽  
pp. 37-60 ◽  
Author(s):  
A. Santander ◽  
J. Mahecha ◽  
F. Pérez
Keyword(s):  
Body Problem ◽  
Three Body Problem ◽  
Rigid Rotator ◽  
Three Body

On the modified circular restricted three-body problem with variable mass

New Astronomy ◽  
2021 ◽  
Vol 84 ◽  
pp. 101510
Author(s):  
Md Sanam Suraj ◽  
Rajiv Aggarwal ◽  
Md Chand Asique ◽  
Amit Mittal
Keyword(s):  
Body Problem ◽  
Variable Mass ◽  
Restricted Three Body Problem ◽  
Three Body Problem ◽  
Three Body

Triple close approach in the three-body problem: A limit for the bounded orbits

1984 ◽  
Vol 32 (1) ◽  
pp. 15-28 ◽  
Author(s):  
Jacques Laskar ◽  
Christian Marchal
Keyword(s):  
Body Problem ◽  
Close Approach ◽  
Three Body Problem ◽  
Three Body
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