Convergence of S-Matrix in Coupled Channel Method of Deuteron Breakup Reactions Based on Totally Antisymmetrized Three-Body Model

The three-body resonance of [Formula: see text] system is investigated by using the [Formula: see text] coupled channels Faddeev equation. The resonance energy is determined from the pole of S -matrix on the unphysical sheet. It is found that the pole positions of the predicted amplitudes are significantly modified when the three-body dynamics is approximately treated by introducing the effective [Formula: see text] two-body interaction.

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RESONANCE DYNAMICS IN COUPLED CHANNELS

International Journal of Modern Physics Conference Series ◽

10.1142/s2010194514600544 ◽

2014 ◽

Vol 26 ◽

pp. 1460054 ◽

Cited By ~ 9

Author(s):

MICHAEL DÖRING

Keyword(s):

Partial Wave ◽

Gauge Invariance ◽

Pion Photoproduction ◽

General Properties ◽

Coupled Channels ◽

Resonance Properties ◽

S Matrix ◽

Three Body ◽

Coupled Channel

General properties of the S-matrix, such as constraints from two- and three-body unitarity as well as gauge invariance, are discussed and illustrated for the example of a dynamical coupled channel approach. The Jülich model has been updated to analyze πN, ηN, and KY production as well as pion photoproduction. Partial wave amplitudes and resonance properties are determined.

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Three-body model of deuteron breakup and stripping

Annals of Physics ◽

10.1016/0003-4916(76)90195-0 ◽

1976 ◽

Vol 96 (2) ◽

pp. 333-381 ◽

Cited By ~ 72

Author(s):

J.P Farrell ◽

C.M Vincent ◽

N Austern

Keyword(s):

Deuteron Breakup ◽

Body Model ◽

Three Body

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Coupled-Discretized-Continuum-Channels Method for Deuteron Breakup Reactions Based on Three-Body Model: Justification of the Method for Truncation and Discretization of the p-n Continuum

Progress of Theoretical Physics ◽

10.1143/ptp.67.1467 ◽

1982 ◽

Vol 67 (5) ◽

pp. 1467-1482 ◽

Cited By ~ 95

Author(s):

M. Yahiro ◽

M. Nakano ◽

Y. Iseri ◽

M. Kamimura

Keyword(s):

Deuteron Breakup ◽

Body Model ◽

Three Body

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Classical black hole scattering from a worldline quantum field theory

Journal of High Energy Physics ◽

10.1007/jhep02(2021)048 ◽

2021 ◽

Vol 2021 (2) ◽

Cited By ~ 3

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.

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