Regge trajectories from the two-body, bound-state Thompson equation using a quark-confining interaction in momentum space

1993 ◽  
Vol 48 (7) ◽  
pp. 3408-3409 ◽  
Author(s):  
David E. Kahana ◽  
Khin Maung Maung ◽  
John W. Norbury
Keyword(s):  
Momentum Space ◽  
Bound State ◽  
Regge Trajectories

S-matrix pole trajectories for separable interactions

1989 ◽  
Vol 67 (1) ◽  
pp. 37-40 ◽  
Author(s):  
L. A. L. Roriz ◽  
A. Delfino
Keyword(s):  
Momentum Space ◽  
Bound State ◽  
State Collapse ◽  
S Matrix ◽  
Three Body

By solving the Lippmann–Schwinger equation in momentum space for a set of two-body separable interactions, we study eir S-matrix pole trajectories. The connection of such a study with the three-body bound-state collapse is also discussed.

Technical methods for solving bound‐state equations in momentum space

1989 ◽  
Vol 30 (5) ◽  
pp. 1060-1072 ◽  
Author(s):  
S. Boukraa ◽  
J.‐L. Basdevant
Keyword(s):  
Momentum Space ◽  
Bound State ◽  
State Equations

Momentum-space solution of a bound-state nuclear three-body problem with two charged particles

1984 ◽  
Vol 29 (4) ◽  
pp. 1450-1460 ◽  
Author(s):  
D. R. Lehman ◽  
A. Eskandarian ◽  
B. F. Gibson ◽  
L. C. Maximon
Keyword(s):  
Momentum Space ◽  
Body Problem ◽  
Charged Particles ◽  
Bound State ◽  
Three Body Problem ◽  
Space Solution ◽  
Three Body

Bound-state solutions of the Bethe-Salpeter equation in momentum space

1969 ◽  
Vol 61 (2) ◽  
pp. 389-402 ◽  
Author(s):  
E. Zur Linden ◽  
H. Mitter
Keyword(s):  
Momentum Space ◽  
Bound State

Three-body bound-state calculation in momentum space

1976 ◽  
Vol 15 (5) ◽  
pp. 134-138 ◽  
Author(s):  
W. Glöckle ◽  
R. Offermann
Keyword(s):  
Momentum Space ◽  
Bound State ◽  
State Calculation ◽  
Three Body ◽  
Bound State Calculation

scholarly journals Error Estimates for the Nearly Singular Momentum-Space Bound-State Equations

2020 ◽  
Vol 2020 ◽  
pp. 1-5
Author(s):  
Yang-Hong Zhang ◽  
Jiao-Kai Chen
Keyword(s):  
Spectral Method ◽  
Error Estimates ◽  
Momentum Space ◽  
Singular Integrals ◽  
Numerical Solutions ◽  
Expansion Method ◽  
Bound State ◽  
Critical Value ◽  
State Equations ◽  
Nearly Singular Integrals

We present errors of quadrature rules for the nearly singular integrals in the momentum-space bound-state equations and give the critical value of the nearly singular parameter. We give error estimates for the expansion method, the Nyström method, and the spectral method which arise from the near singularities in the momentum-space bound-state equations. We show the relations amongst the near singularities, the odd phenomena in the eigenfunctions, and the unreliability of the numerical solutions.

scholarly journals BOUND STATES FROM REGGE TRAJECTORIES IN A SCALAR MODEL

2001 ◽  
Vol 16 (27) ◽  
pp. 4377-4400
Author(s):  
A. WEBER ◽  
J. C. LÓPEZ VIEYRA ◽  
C. R. STEPHENS ◽  
S. DILCHER ◽  
P. O. HESS
Keyword(s):  
Renormalization Group ◽  
Bound States ◽  
Bound State ◽  
Nonrelativistic Limit ◽  
Ladder Approximation ◽  
Scalar Model ◽  
Scalar Theory ◽  
Regge Trajectories ◽  
Bound State Spectrum ◽  
Compare And Contrast

The calculation of bound state properties using renormalization group techniques to compute the corresponding Regge trajectories is presented. In particular, we investigate the bound states in different charge sectors of a scalar theory with interaction ϕ†ϕχ. The resulting bound state spectrum is surprisingly rich. Where possible we compare and contrast with known results of the Bethe–Salpeter equation in the ladder approximation and, in the nonrelativistic limit, with the corresponding Schrödinger equation.

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