уйти с головой означает в английский

dive [dove, dived, diving, dives]▼(undertake enthusiastically)
verb
[UK: daɪv] [US: ˈdaɪv]

immerse [immersed, immersing, immerses]▼(to involve deeply)
verb
[UK: ɪ.ˈmɜːs] [US: ˌɪ.ˈmɝːs]