Role of correlated two pion exchange in K + N scattering

Hoffmann, M.; Durso, J.W.; Holinde, K.; Pearce, B.C.; Speth, J.

doi:10.1016/0375-9474(95)00320-Z

Role of correlated two pion exchange in K + N scattering

M. Hoffmann
(
- SUNY, Stony Brook and
- Julich, Forschungszentrum
)
,
J.W. Durso
(
- Mt. Holyoke Coll.
)
,
K. Holinde
(
- Julich, Forschungszentrum and
- Valencia U.
)
,
B.C. Pearce
(
- Adelaide U.
)
,
J. Speth
(
- Julich, Forschungszentrum
)

Apr, 1995

24 pages

Published in:

Nucl.Phys.A 593 (1995) 341-361

e-Print:

nucl-th/9504029 [nucl-th]

DOI:

10.1016/0375-9474(95)00320-Z

View in:

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Abstract:

A dynamical model for S-- and P--wave correlated

2 \pi

(and

K \bar K

) exchange between a kaon and a nucleon is presented, starting from corresponding

N \bar N \rightarrow K \bar K

amplitudes in the pseudophysical region, which have been constructed from nucleon,

\Delta

--isobar and hyperon (

\Lambda

,

\Sigma

) exchange Born terms and a realistic meson exchange model of the

\pi \pi \rightarrow K \bar K

and

K \bar K \rightarrow K \bar K

amplitude. The contribution in the s--channel is then obtained by performing a dispersion relation over the unitarity cut. In the

\rho

--channel, considerable ambiguities exist, depending on how the dispersion integral is performed. Our model, supplemented by short range interaction terms, is able to describe empirical

K~+ N

data below pion production threshold in a satisfactory way.

Note:

24 pages, REVTEX, figures available from the authors

K+ nucleon: elastic scattering
elastic scattering: K+ nucleon
nucleon antinucleon: exclusive reaction
K: pair production
pair production: K
exchange: two-pion
two-pion: exchange
correlation: two-pion
effective potential
spectral representation

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