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.

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

Orthogonality nodes and the three-body bound state collapse

1995 ◽  
Vol 51 (4) ◽  
pp. 1633-1637 ◽  
Author(s):  
S. Nakaichi-Maeda
Keyword(s):  
Bound State ◽  
State Collapse ◽  
Three Body

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 A three-dimensional momentum-space calculation of three-body bound state in a relativistic Faddeev scheme

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
M. R. Hadizadeh ◽  
M. Radin ◽  
K. Mohseni
Keyword(s):  
Momentum Space ◽  
Three Dimensional ◽  
Bound State ◽  
Three Body

Forbidden states and the three-body bound state collapse

2001 ◽  
Vol 63 (4) ◽  
Author(s):  
G. Pantis ◽  
I. E. Lagaris ◽  
S. A. Sofianos
Keyword(s):  
Bound State ◽  
State Collapse ◽  
Forbidden States ◽  
Three Body

scholarly journals Classical black hole scattering from a worldline quantum field theory

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Gustav Mogull ◽  
Jan Plefka ◽  
Jan Steinhoff
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Black Hole ◽  
Quantum Field ◽  
Expectation Values ◽  
Path Integral Representation ◽  
S Matrix ◽  
Feynman Rules ◽  
Definition Of ◽  
Three Body

Abstract A precise link is derived between scalar-graviton S-matrix elements and expectation values of operators in a worldline quantum field theory (WQFT), both used to describe classical scattering of black holes. The link is formally provided by a worldline path integral representation of the graviton-dressed scalar propagator, which may be inserted into a traditional definition of the S-matrix in terms of time-ordered correlators. To calculate expectation values in the WQFT a new set of Feynman rules is introduced which treats the gravitational field hμν(x) and position $$ {x}_i^{\mu}\left({\tau}_i\right) $$ x i μ τ i of each black hole on equal footing. Using these both the 3PM three-body gravitational radiation 〈hμv(k)〉 and 2PM two-body deflection $$ \Delta {p}_i^{\mu } $$ Δ p i μ from classical black hole scattering events are obtained. The latter can also be obtained from the eikonal phase of a 2 → 2 scalar S-matrix, which we show corresponds to the free energy of the WQFT.

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.

scholarly journals Polylogarithms from the Bound State S-matrix

2020 ◽  
pp. 53-63
Author(s):  
M. de Leeuw ◽  
B. Eden ◽  
D. le Plat ◽  
T. Meier
Keyword(s):  
Bound State ◽  
S Matrix
Sign in / Sign up

Export Citation Format

Share Document