A unitary coupled-channel three-body amplitude with pions and kaons

Feng, Yuchuan; Gil, Fernando; Döring, Michael; Molina, Raquel; Mai, Maxim; Shastry, Vanamali; Szczepaniak, Adam

doi:10.1103/PhysRevD.110.094002

A unitary coupled-channel three-body amplitude with pions and kaons

Yuchuan Feng
(
- George Washington U.
)
,
Fernando Gil
(
- Valencia U., IFIC
)
,
Michael Döring
(
- George Washington U. and
- Jefferson Lab
)
,
Raquel Molina
(
- Valencia U., IFIC
)
,
Maxim Mai
(
- George Washington U. and
- Bern U. and
- Bonn U. and
- Bonn U., HISKP
)

Jul 11, 2024

27 pages

Published in:

Phys.Rev.D 110 (2024) 094002

e-Print:

2407.08721 [nucl-th]

DOI:

10.1103/PhysRevD.110.094002

Report number:

JLAB-THY-24-4107

View in:

ADS Abstract Service

reference search8 citations

Citations per year

Abstract: (arXiv)

Three-body dynamics above threshold is required for the reliable extraction of many amplitudes and resonances from experiment and lattice QCD. The S-matrix principle of unitarity can be used to construct dynamical coupled-channel approaches in which three particles scatter off each other, re-arranging two-body subsystems by particle exchange. This paper reports the development of a three-body coupled-channel, amplitude including pions and kaons. The unequal-mass amplitude contains two-body S- and P-wave subsystems ("isobars") of all isospins,

I=0,\,1/2,\,1,\, 3/2, \, 2

, and it also allows for transitions within a given isobar. The

f_0(500)\, ("\sigma"),\,f_0(980),\,\rho(700), K_0^*(700)\,("\kappa")

, and

K^*(892)

resonances are included, apart from repulsive isobars. Different methods to evaluate the amplitude for physical momenta are discussed. Production amplitudes for

a_1

quantum numbers are shown as a proof of principle for the numerical implementation.

Note:

27 pages, 11 figures, version accepted for publication

References(0)

Figures(18)

Loading ...