AN F-5 HAD AN NMAC WITH AN ACR MD-80.

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WE WERE DSNDING INTO BUR ON THE LYNXX 7 ARR WITH A XING RESTR OF 8000 FT AT JANNY. AT ABOUT 10 DME SW OF PMD; WE WERE ABOUT TO LEVEL AT 8000 FT WHEN WE RECEIVED A TA THAT SHOWED TFC AT OUR 9 O'CLOCK -- 1 MI AND 30 FT LOWER THAN US. WE LOOKED L AND SAW A CAMOUFLAGE GRAY F-5 APCHING US VERY RAPIDLY AS IF TO JOIN UP ON US. THE TCASII THEN GAVE US AN RA TO CLR WITH THE GREEN LIGHTS ON THE VSI AT 200 FPM. I INITIATED A CLB TO COMPLY AND I AGAIN LOOKED L AND THE F-5 WAS CLBING WITH US. I AGAIN INCREASED CLB RATE AND PWR AND THOUGHT HE MUST NOT SEE US. HE WAS NOW ABOUT 200 YARDS L AND SLIGHTLY BELOW US. HE THEN PASSED UNDERNEATH US AND THE TCASII SHOWED 200 FT BELOW US. WE TOLD JOSHUA APCH WE WERE CLBING ON AN RA FOR THIS F-5. SHE ADVISED US THAT INITIALLY SHE HAD NOT SEEN THE TARGET BUT NOW SHE DID AND APOLOGIZED; ANOTHER CTLR CAME ON THE FREQ AND TOLD THE F-5 THAT HE SHOULD BE AWARE THAT HE WAS XING THROUGH THE LYNXX ARR. THE F-5 RESPONDED TO THE CTLR ON VHF AND SAID; 'I DON'T KNOW WHAT THAT GUY'S PROB IS BECAUSE I HAD HIM IN SIGHT THE WHOLE TIME.' AFTERWARDS; WE WERE GIVEN A CLRNC BACK DOWN TO 900 FT WITH ANOTHER APOLOGY FROM THE CTLR.