Hi,
Welcome to health care magic,
Diverticuloum is a abnormal outward projection of mucosa of colon.
When it is get infected,it is known as
diverticulitis.You might have repeated infection of this leading to nausea, vomiting,stomach pain etc.
You can take antibiotics ( quinolones or cephalosporins) with antiprotozoals like
metronidazole,anti-emetics,antispasmodics, probiotics and other supportive treatment like antacids (
pantoprazole) with dietary restrictions to low fat and high protein.
But the main cure is the only surgical removal of diverticulam because of repeated gut infection or they could be also chances of complications like
peritonitis or bowel obstruction etc.
So,better you see gastrosurgeon and take advise.
Regards,