Goodmorning. I'm writing here to ask you how can i label ticks in a mathematica graphic. I've got a graphic and i need to insert a label instead of a numer in the x-axis, for example in the nuclear potential i need to insert r1 and r2 where the two functions cross. How can i do that?

I have tried like this, but doesn't work as i want.

Plot[{50, (-(x - 5)^3 + 6 (x - 5)^4 + (x - 5) + 10 + 1/
      x) Exp[-(x - 5)] + 30}, {x, 0, 15}, PlotRange -> {0, 80}, 
 PlotStyle -> {{Blue}, {Red, Thick}}, 
 Ticks -> {{0, r1, r2}, {0, 50}}, 
 Epilog -> 
  Line[{{{7.599501370522477`, 0}, {7.599501370522477`, 
      50}}, {{10.80231101397398`, 0}, {10.80231101397398`, 50}}}] ]

Thanks.

P.s.: Sorry for my bad english, tell me if it isn't clear.