THIS HAS THE APPEARANCE OF AN LTSS BTWN AN ACR TURBOPROP AT 15000 FT AND A CLBING ACR B737 CLBING TO 14000 FT. RPTR; HAVING SIGHTED THE B737 ON TCASII AND VISUALLY; TURNED PARALLEL TO THE JET AND SUBSEQUENTLY AWAY FROM IT AND DOVE TO 13500 FT WHEN THE TCASII TARGET WAS TOUCHING RPTR'S TARGET AT THE SAME ALT. RPTR RECEIVED NO TCASII RA.

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WE GOT A TCASII TA AT OUR 7 O'CLOCK LESS THAN 2 MI; SHOWING A CLBING TARGET. I LOOKED OVER MY L SHOULDER AND IMMEDIATELY SAW A B737 ON ABOUT A 20 DEG CONVERGING COURSE. I WAS STARTLED THAT IT WAS THAT CLOSE WITHOUT THE ZLA CTLR MENTIONING IT TO US. THE INITIAL ADVISORY SHOWED 700 FT BELOW US; CLBING. I IMMEDIATELY TURNED PARALLEL TO HIS COURSE; BUT THE TCASII TARGET KEPT CLBING; IT WENT FROM -700 FT TO -300 FT IN A FEW SECONDS; STILL CLOSING IN ON US. HAVING TURNED MY TAIL TOWARDS HIM; I COULD NOT SEE THE B737 ANY MORE; BUT BY THIS TIME THE TCASII SHOWED HIM RIGHT BEHIND WITH THE 2 TARGETS TOUCHING; HIM STILL CLBING. I WAS VERY SURPRISED THAT OUR TCASII HAD NOT GIVEN US AN RA BY THIS TIME AND IN ORDER TO AVOID A POSSIBLE COLLISION I TURNED FURTHER R AND DOVE; AS THE TARGET WAS TOUCHING OURS FROM BEHIND; AT THE SAME ALT. I LEVELED OFF AT ABOUT 13500 FT (WE WERE ASSIGNED 15000 FT AND THE B737 14000 FT) AND WATCHED THE B737 GO BY TO MY L; BY NOW ABOVE US. WITH HINDSIGHT I SHOULD HAVE JUST TURNED 90 DEGS R AND NOT DSNDED; BUT THE WHOLE INCIDENT ONLY TOOK ABOUT 15 SECONDS. I DO NOT KNOW WHY WE GOT THE TCASII INDICATIONS WE DID. WHAT I SAW WAS AN ACFT CLBING RIGHT INTO US FROM BEHIND AND MY CLB CAPABILITY WAS LIMITED.