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Charge symmetry breaking of the nucleon-nucleon interaction: rho - omega mixing versus nucleon mass splitting

Nov, 2000
21 pages
Published in:
  • Phys.Rev.C 63 (2001) 034005
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Abstract:
We investigate three models for the charge symmetry breaking (CSB) of the nucleon-nucleon (NNNN) interaction (based upon ρ\rho-ω\omega mixing, nucleon mass splitting, and phenomenology) that all reproduce the empirical value for the CSB of the 1S0^1S_0 scattering length (ΔaCSB\Delta a_{CSB}) accurately. We reveal that these models make very different predictions for CSB in 3PJ^3P_J waves and examine the impact of this on some observable quantities of A≥3A\geq 3 nuclear systems. It turns out that the 3^3H-3^3He binding energy difference is essentially ruled by ΔaCSB\Delta a_{CSB} and not very sensitive to CSB from PP waves. However, the Coulomb displacement energies (which are the subject of the Nolen-Schiffer anomaly) receive about 50% of their CSB contribution from NNNN partial waves beyond 1S0^1S_0. Consequently, the predictions by the various CSB models differ here substantially (10-20%). Unfortunately, the evaluation of the leading Coulomb contributions carry a large uncertainty such that no discrimination between the competing CSB models can presently be made. To decide the issue we suggest to look into nuclear few-body reactions that are sensitive to CSB of the nuclear force.
  • nucleon nucleon: interaction
  • effective Lagrangian
  • charge: symmetry breaking
  • mixing angle: (omega(783) rho(770)0)
  • nucleon: mass difference
  • nucleon nucleon: elastic scattering
  • nucleon: scattering length
  • nuclear matter
  • potential: Coulomb
  • tritium: binding energy
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