Charge dependence of the nucleon-nucleon interaction

Li, Guo-Qiang; Machleidt, R.

doi:10.1103/PhysRevC.58.3153

Charge dependence of the nucleon-nucleon interaction

Guo-Qiang Li
(
- Idaho U.
)
,
R. Machleidt
(
- Idaho U.
)

Jul, 1998

12 pages

Published in:

Phys.Rev.C 58 (1998) 3153-3162

e-Print:

nucl-th/9807080 [nucl-th]

DOI:

10.1103/PhysRevC.58.3153

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Abstract:

Based upon the Bonn meson-exchange-model for the nucleon-nucleon (

NN

) interaction, we calculate the charge-independence breaking (CIB) of the

NN

interaction due to pion-mass splitting. Besides the one-pion-exchange (OPE), we take into account the

2\pi

-exchange model and contributions from three and four irreducible pion exchanges. We calculate the CIB differences in the

^1S_0

effective range parameters as well as phase shift differences for partial waves up to total angular momentum J=4 and laboratory energies below 300 MeV. We find that the CIB effect from OPE dominates in all partial waves. However, the CIB effects from the

2\pi

model are noticable up to D-waves and amount to about 40% of the OPE CIB-contribution in some partial waves, at 300 MeV. The effects from 3

\pi

and 4

\pi

contributions are negligible except in

^1S_0

and

^3P_2

.

nucleon nucleon: interaction
charge: effect
meson: exchange
pi: mass difference
pi: exchange
exchange: two-pion
Delta(1232)
Feynman graph: higher-order
partial wave analysis
approximation: effective range

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