Reflections on Charge Symmetry Breaking

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Presentation transcript:

Reflections on Charge Symmetry Breaking Patrick Achenbach U Mainz June 2o18

Reflections on Charge Symmetry Breaking sizeable effect in A = 4 isospin mirror pair large experimental uncertainties in A = 7, 8, 9, and 10 isomultiplets what are the (quantitative and qualitative) limitations of the data? ΔBΛ = 0.350.06

Use of Point Estimators [M. Jurič et al., Nucl. Phys. B 52 (1973) 1]

CSB Database Issues (Personal Perspective) do we have a complete set of statistical and systematic errors? are all of the errors symmetric? is the data normal distributed? are outliers of values treated consistently? (outliers can indicate a heavy-tailed distribution) do we know all the cross-correlated errors when combining binding energies from different measurements? are likelihood functions used to combine different experiments? do we have a coherent and fully accepted database? (analogous to the PDG compilation) No

The CSB Database I [M. Jurič et al., Nucl. Phys. B 52 (1973) 1]

The CSB Database II [D.H. Davis, Nucl. Phys. A 754 (2005) 3c]

The CSB Database II [D.H. Davis, Nucl. Phys. A 754 (2005) 3c]

The CSB Database III [A. Gal, E. V. Hungerford, D. J. Millener, Rev. Mod. Phys. 88 (2016) 035004]

The CSB Database III [A. Gal, E. V. Hungerford, D. J. Millener, Rev. Mod. Phys. 88 (2016) 035004]

The CSB Database IV [E. Botta, T. Bressani, A. Feliciello, Nucl. Phys. A 960 (2017) 165]

The CSB Database IV [E. Botta, T. Bressani, A. Feliciello, Nucl. Phys. A 960 (2017) 165]

World data on A ≤ 10 systems ΔBΛ4 clearest signature of charge symmetry breaking in A = 4 system weak indications of charge symmetry breaking in A ≠ 4 systems

World data on 4ΛH mass MAMI emulsion BΛ(4ΛH) (stat.) (syst.) outer error bars correlated from calibration MAMI emulsion BΛ(4ΛH) (stat.) (syst.) emulsion: 2.04 ± 0.04 ± 0.05 MeV [M. Juric et al. NP B52 (1973)] MAMI 2012: 2.12 ± 0.01 ± 0.08 ± 0.03 MeV [A. Esser et al., PRL 114 (2015)] MAMI 2014: 2.16 ± 0.01 ± 0.08 MeV [F. Schulz et al., NPA (2016)]