I cant get over my ex - girlfriend

My girlfriend and i have been together for 8months , until we had an argument and broke up , i beg her immediately but she didnt accept me back , i thought she was still angry and i hoped she would get better , if i asked the next morning but still the same , i really love my girlfriend , im kind of obsessed with her , i had sent her up to 50 text messages begging her back , but she doesnt reply me anyway , She had a new boyfriend a week later , i knew him , he was her friend and a friend to her , i got really pissed , then i leased my anger on her , i Deleted her from my social medias , knowing i could not move on without her , i am depressed because i am not sure if she ever loved me , but she showed my affection and care when we were dating , it was online tho , but i visited her ,although we never kissed or nothing intimate just hugs cos we were both shy , weeks passed by i added he back ,thinking she would miss me but it was the reversed she snubs me ,doesnt reply regularly and gave me short words for a reply, i got annoyed and deleted her back but i kept on adding and the cycle contines ,i even cursed her once called her bitch , im not a rude person ,anyway im calm , i kept on sending her texts ,''telling her im sorry and i love her'' , Anytime i thought of the short moments we shared i cried , i opened our relationship to everyone ,we even shared passwords, but now she doesnt pick my calls and i keep on sending text messages , i had never done this for anyone ,i love everything about her, shes always in my thoughts when i wake and go to bed , i cant move on , everyone i know knows how crazy i love her , they wouldnt even consider me ,besides i still love her, its impossible to move on, i Deleted everything about her but i dont know how on earth i got then back , I love her to the abyss and would do anything for her, please i need your advice
is it normal ?