how can you explain that adding TFA to the sample make peak splitting even more (and peak tailing too).
I try to understand why the temperature effect (T increase) is similar to the one seen by lowering injected amount in terms of making two peaks becoming one which is what I would expect to see from pure compound...
Thanks,
SOS
Explanations cost more, whether correct or incorrect, especially when I don't have specific experience of the molecule

. Why not try the suggested experiments and see if they provide more insight?. Because I'm a simple person, I prefer, whenever possible, to inject samples disolved in the mobile phase.
Increasing temperature can speed up or even initiate interactions, increasing acidity can also change the chromatographic behaviour, especially of a molecule with some of the functional groups on yours.
We can apply all sorts of magic to make one peak become two, and two peaks become one, sometimes deliberately, sometimes accidently, even without having all the information about a molecule's solubility behaviour and pKa etc.
If you want to understand the process, I'd suggest performing controlled experiments, varying column temp, mass/concentration injected, TFA concentration, etc etc, but keeping other parameters the same. You would then understand the critical paremeters.
I would want to be assured that the mobile phase has enough buffering/ionic capacity to provide consistent chromatography before reporting any results, but YMMV.
Please keep having fun,
Bruce Hamilton