There are any books focused on longines from this era (40s mid50s) ?
Not that I know of, and with good reason.
When talking about vintage Longines, you really have to separate the North American market from everywhere else during the post WWII era (1946-1970). The movements were the same (for the most part), but the styling was totally different. This North American market is the focus of the
Vintage Watch Resources website. Back then, Longines was marketed by a separate company (Longines-Wittnauer Watch Co. Inc,) which also imported Wittnauer, LeCoultre and Vacheron & Constantin watches to the US. The marketing, advertising and final assembly processes were all handled in the US, not Switzerland. Only the movements were Swiss.
North America probably constituted 50% or more of Longines sales during those years.
The models you are interested in are mostly European market models and virtually unknown on this side of the Atlantic until recently. There is a book by John Goldberger, entitled simply
"Longines Watches". This book seems to be out of print, and prices for the English version are ridiculous. I have linked a German language version, which seems to be reasonable. I have not read this book, but understand that it is more of coffee-table picture book than a historical document.
You can see a video which has most of the illustrations in the book here. Your kind of watches start at about 1:30 into the video.
There is another book that I've seen at the Longines Boutique which focuses only on
Longines movements. I suspect this book may be a bit too comprehensive for what you are looking for.
Hope this helps,
gatorcpa