Ch. Elster, H. Liu, T. Lin

Fachruddin, W. Gloeckle

H.Kamada, H.Witala

A. Nogga, W. Schadow

2

3

1

2p2q

3

1

2

3p3q

1

2

3

1p1q

2312PP 2313PP

3N force integration => Two integrations of 2N force like

+ Two coordinate transformations.

MT2-I

MT2-II

MMT3-I

MMT3-II

-7.550-74.89567.309MMT3-B

-7.580-74.54766.967MT2-I

)(0 MeVH )(MeVV )(MeVE

MT2-I

MMT3-B

-1.90660.060.005.000

4/2g )(MeVm a)(MeVΛ

1U

10U

3

2

11

23

The Solution of Three-Body Amplitude T at Different Orders in Two-Body t -Matrix

1st order

2nd order

3rd order

4th order

Full Faddeev

Do these expansions at certain orders well approximate the full Faddeev solution ?

How do rescattering terms contribute to the total amplitude ?

Elastic Cross Section at Exact Backward Direction Convergence properties as a Function of Energies

A specific break-up configuration and measurement:

the neutron is ejected at extreme backward angles, and the two protons at extreme forward angles, only events with small PP relative energy are measured

At 1.0 GeV scale: partial sum up to 3rd order is necessary

Convergence improved by going higher orders at backward angle !