1. Optical parameters of dipoles for the DAFNE upgrade M. Preger 6/11/2007

2. References B. Bolli, N. Ganlin, F. Iungo, F. Losciale, M. Modena, M. Paris, M. Preger, C. Sanelli, F. Sardone, F. Sgamma, M. Troiani: "The 'Short' Dipoles of the DAFNE Main Ring Achromats", MM-19, 2/8/1996 B. Bolli, N. Ganlin, F. Iungo, F. Losciale, M. Paris, M. Preger, C. Sanelli, F. Sardone, F. Sgamma, M. Troiani: "The'Long' Dipoles of the DAFNE Main Rings Achromats", MM-25, 21/5/1997 B. Bolli, N. Ganlin, F. Iungo, F. Losciale, M. Paris, M. Preger, C. Sanelli, F. Sardone, F. Sgamma, M. Troiani: "The Dipoles of the DAFNE Main Rings Achromats", MM- 26, 22/5/1997

3. Field measurements taken along the ideal beam line (two straight sections and one arc of circle with the nominal bending radius) and along lines parallel to the ideal one Original results (References) taken by interpolating with a second order polynomial between 0, -1cm, +1cm Present results, because of bending angle and bending radius modification in sector magnets adjacent to the interaction regions, interpolated between 0, -2cm, +2cm Tracked transfer matrix obtained by difference between ideal particle (x=0, x’=0, ∆p/p=0) and particles with +1mm, +1mrad, ∆p/p=0.001 Tracked matrix fitted by optical model of two straight sections with a sector dipole in between with nominal length and bending radius, with entrance and exit angles left as free parameters

4. Bending radius (m) Length (m) Bending angle (deg) Straight section length (m) Sector long (old) 1.4005631.2100049.500000.69 Sector short (old) 1.4005630.9900040.500000.68 Parallel long1.4005631.2100049.500000.69 Parallel short1.4005630.9900040.50000.68 Sector long (new) 1.528611.2035745.11233069 Sector short (new) 1.269740.9947644.887680.68

5. Sector long dipoles (old) Serial number E (MeV)a11-a22 Det   1511.63.001531.00008.0180.00295 2511.66-.000571.00009.0180.00262 3511.87-.000271.00000.0180.00270 4 (prot) 511.70-.000621.00000.0175.00246

6. Sector short dipoles (old) Serial number E (MeV)a11-a22 Det   1 (prot) 511.87.00031.99998.0115.00196 2511.69.00021.99995.0160.00225 3511.81.00009.99996.0150.00204 4511.85.00079.99986.0155.00196

7. Parallel long dipoles Serial number E (MeV)a11-a22 Det   1511.74.03021.99979-.0375.01050-.0195-.0555.00253 2511.78.03031.99979-.0370.01050-.0185-.0555.00240 3 not remeas -ured 512.21.03120.99983-.0370.01082-.0180-.0560.00248 4 (prot) 511.87.02931.99979-.0360.01020-.0170-.0540.00245

8. Parallel short dipoles Serial number E (MeV)a11-a22 Det   1 (prot) 511.82.01958.99988-.0260.00661-.0110-.04090.00166 2511.73.01990.99925-.0275.00659-.0130-.0420.00146 3511.86.02085.99978-.0275.00692-.0120-.0430.00121 4511.82.019530.99995-.0275.00657-.0130-.0420.00158

9. Sector long dipoles (new) Serial number E (MeV)a11-a22 Det   1511.75.01787.99435-.0145.00636-.0015-.0275.00252 2511.77.01639.99434-.0165.00585-.0040-.0290.00248 3511.99.01519.99352-.0160.00572-.0045-.0275.00272 4 (prot) 511.80.01449.99369-.0170.00566-.0060-.0280.00291

10. Sector short dipoles (new) Serial number E (MeV)a11-a22 Det   1 (prot) 511.58-.018061.00729.0380.00670.0270.0500.00508 2511.40-.017941.00773.0490.00684.0390.0590.00534 3511.53-.017681.00688.0490.00534.0390.0590.00518 4511.57-.016901.00689.0470.00620.0380.0560.00471