The decay B --> B gamma has been observed with the DELPHI detector at
LEP, where the B meson is produced in Z boson decays, The combinatio
n of inclusively reconstructed B mesons with well-measured converted p
hotons yields a measurement of the flavour-averaged B - B mass differ
ence of 45.5 +/- 0.3 (stat.) +/- 0.8 (syst.) MeV/c(2). 95% confidence
level upper limits at 6 MeV/c(2) are placed on both the isospin (i.e,
B+-B-0) and the B-s-B-ud splitting of the mass difference, The product
ion ratio of B to B mesons in Z decays is measured to be 0.72 +/- 0.0
3 (stat.) +/- 0.06 (syst.). Limits on the production cross-section of
other hypothetical excited B hadron states decaying radiatively are es
tablished. The differential B cross section has been measured to be i
n good agreement with the average b fragmentation, yielding an average
fractional B energy of [x(E)] = 0.695 +/- 0.009 (stat.) +/- 0.013 (s
yst.). From the decay angular distribution the relative contribution o
f longitudinal B polarisation states is measured to be sigma(L)/(sigm
a(L) + sigma(T)) = 0.32 +/- 0.04 (stat.) +/- 0.03 (syst.).