Dude, just go to the hospital or, better yet, don't cut deep or maybe try giving up SH altogether.
They won't force you into a psych ward for SH. That's typically reserved for specific cases, such as patients showing signs of psychosis and those who admit to being actively suicidal. They might have you talk to a psychiatrist and a crisis worker and then they'll have someone come to treat the wound and that's it.
Treating deep cuts at home is risky since once you get past the dermis layer the risk for infection significantly goes up. Deeper cuts take longer to heal and require a lot of aftercare. Things, like steri strips and butterfly bandages, while better than nothing, likely won't provide you with the same results as getting stitches. Along with that, depending on how deep you cut there is also the risk of you giving yourself a permanent injury.
If you do still decide to do it, though I'd personally recommend against it, you first stop the bleeding (you can use a gauze pad to apply pressure). Do not use toilet paper or anything that easily breaks apart to stop the bleeding as bits of it can get into the wound, leading to infection. Distilled water or saline solution can be used to flush the wound. When applying the antiseptic, do not apply it directly onto the wound, apply it around the edges. Also, DO NOT USE HYDROGEN PEROXIDE! Hydrogen peroxide can also kill off healthy tissue, leading to the healing period being prolonged and the chances of infection thus increasing. You can also use an antibiotics ointment, again, applying it to the edges. Afterwards, you want to cover it using a gauze pad secure it in place using medical tape and then wrap it in bandages.
This
google doc goes more in-depth on this kind of stuff. You can also look at this
post from r/MadeofStyrofoam for some additional information, too. I personally would recommend against cutting deeper. SH is a poor coping mechanism and deeper cuts are just going to cause you more stress and suffering rather than do anything to actually alleviate it. At the bare minimum, if you are going to this then I
stress that you go to the hospital afterwards to get stitches instead of diying this. Again, you likely won't get hospitalized so if that's what worries you then you don't need to stress out about it.
