Abstract
Based upon the Bonn meson-exchange-model for the nucleon-nucleon $(\mathrm{NN})$ interaction, we calculate the charge-independence breaking (CIB) of the $\mathrm{NN}$ interaction due to pion-mass splitting. Besides the one-pion exchange (OPE), we take into account the $2\ensuremath{\pi}$-exchange model and contributions from three and four irreducible pion exchanges. We calculate the CIB differences in the ${}^{1}{S}_{0}$ 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 $2\ensuremath{\pi}$ 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 $3\ensuremath{\pi}$ and $4\ensuremath{\pi}$ contributions are negligible except in ${}^{1}{S}_{0}$ and ${}^{3}{P}_{2}.$
Submitted Version (
Free)
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call