EUG APCH CTLR EXPERIENCED OPERROR AT 4000 FT WHEN UNTAGGED IFR ACFT WAS ALLOWED TO CONFLICT WITH ANOTHER IFR ACFT.

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I WAS WORKING MODERATE TO HVY TFC WHEN SEPARATION WAS LOST BTWN 2 IFR ACFT. ACFT #1; P28L; WAS HOLDING OVER SHEDD INTXN AT 4000 FT MSL (TRAINING). ACFT #2 P28A; WAS NBOUND ON V23 AT 4000 FT MSL PER OUR LOA WITH ZSE FOR ACFT ENRTE TO SALEM ARPT. IT WAS A BEAUTIFUL VFR DAY FOLLOWING A COUPLE OF MONTHS OF RAINY WX AND THE AIRPLANES CAME OUT OF NOWHERE. IT CAN BE QUITE A CHALLENGE TO GEAR UP FOR BUSY TFC AFTER LONG STRETCHES OF SLOW TFC. ACFT #2'2 RTE TOOK HIM THROUGH ALMOST EVERY OTHER ACFT THAT I WAS TALKING TO. HAD I TAKEN HIM A DIFFERENT RTE AND VERBALLY COORD THE CHANGE WITH ZSE THERE WOULD NOT HAVE BEEN A PROB. I ALSO SHOULD HAVE TERMINATED VFR FLT FOLLOWING ON SEVERAL ACFT SO THAT I COULD GIVE THE IFR TFC MY FULL ATTN. CONTRIBUTING FACTORS WERE THAT I HAD 3 DIFFERENT HDOF CTLRS IN A 40 MIN PERIOD WHICH 1) CREATED A BIT OF A DISTR; AND 2) DID NOT ALLOW FOR THE PERSON SITTING NEXT TO ME TO BE FULLY UP TO SPEED; AND THAT ACFT #2 NEEDED TO BE PUT ON A NEW XPONDER CODE SO THAT HE COULD BE HANDED OFF TO CTR. I ASSIGNED ACFT #2 HIS NEW BEACON CODE AND DROPPED HIS DATA AG SO THAT THE NEW CODE COULD ACQUIRE. UNFORTUNATELY; I DIDN'T LISTEN CLOSELY ENOUGH FOR THE PLT'S READBACK -- THERE WAS NONE. THE TARGET ON THE SCOPE CONTINUED NBOUND UNTAGGED AND DIFFICULT TO SEE FOR 4 MINS BEFORE MY SUPVR NOTICED THE PROB. I TURNED ACFT #1 EBOUND AND ACFT #2 WBOUND; AND DSNDED ACFT #1 TO 3000 FT MSL. PRESCRIBED VERT AND LATERAL SEPARATION WAS NOT MAINTAINED BTWN THE 2 ACFT. THIS UNFORTUNATE SITUATION HAS TAUGHT ME SEVERAL VALUABLE LESSONS.