The Latin text is not metered where the English is 10.10.10.10. Fitting the Latin onto this tune as in the recording requires more dotted slurs than I am the bread of life.
The tune in the Adoremus Hymnal (first edition, 1997, #522), with an English text, was composed by Lorenzo Dobici. Sorry, I don't know his dates offhand, except that he lived in the late 19th & early 20th centuries. It is the same tune used in the old St. Gregory Hymnal and Catholic Choir Book, with the Latin text.
They do indeed sing the music that Lars posted above, except in a lower key.
I suspect that the conductor decided that he would prefer to sing the Anima Christi in Latin, so he retrofit the Latin text to this well-known tune (of the same prayer, versified in English). Since the tune was written for a text in strict meter, and the Latin text does not match the meter of the tune, you find in this adaptation an unexpected melisma here or an extra syllable there, as well as those surprising mid-phrase breaths in the second and third verses.
To sing this version, I think you've got two options: 1. You could either slot in the Latin text yourself, using the recording as a guide, or 2. Perhaps try to track down which St. Patrick's Church it was that released this recording, and email the conductor directly to ask for a copy of the score. If he in fact created this arrangement himself, he may well be willing to share it with you.
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