  Quasiparticles, which obey non abelian statistics, were predicted to exist in
different physical systems, but are yet to be observed directly. Possible
candidate states, which are expected to support such quasiparticles, are the
{\nu}=8/3, {\nu}=5/2 and {\nu}=7/3 fractional quantum Hall states (in the
second Landau level). The non abelian quasiparticles are expected to carry
charge and a unique form of a chiral neutral edge mode. Recent measurements in
the {\nu}=5/2 state detected quasiparticle charge e/4 and an upstream (opposite
to charge transport) chiral neutral mode; both agreeing with a non abelian
anti-Pfaffian state; although not excluding the possibility of edge
reconstruction as the source for the detected upstream neutral mode and a
different type of state. Here we present results of detailed measurements of
charge and neutral modes in the main three quantum Hall states of the second
Landau level. For the {\nu}=8/3 state we found a quasiparticle charge e/3 and
an upstream neutral mode - excluding the possibility of a non abelian
Read-Rezayi state and supporting a Laughlin-like state. Such exclusion holds
for the hole-conjugate {\nu}=7/3 state as well, in which no upstream neutral
mode was detected. This also proves that edge reconstruction was not present in
the {\nu}=7/3 state, suggesting its absence also in {\nu}=5/2 state and thus
supporting further the non abelian anti Pfaffian state.
