Re: Issue with USRYIELD results for e+/e-

From: Giuseppe Battistoni (Giuseppe.Battistoni@mi.infn.it)
Date: Mon Jan 22 2007 - 10:40:55 CET

  • Next message: Giuseppe Battistoni: "Re: Missing energy"

    >From Alberto Fasso:

    Hi Lindley,

    your USRYIELD command is as follows:
    USRYIELD 114.0 ELECTRON 95.0 -2.0 -1.0 1.angleE2
    USRYIELD 3.14159265 0.0 600 285.0 0.0 3. &

    The manual says:

         WHAT(4) > 0.0: first region defining the boundary (upstream region)
                 = -1.0 and WHAT(5) = -2.0: the yield of particles
                   EMERGING from inelastic interactions is scored

                   Default = 1.0

         WHAT(5) > 0.0: second region defining the boundary (downstream region)
                 = -2.0 and WHAT(4) = -1.0: the yield of particles
                   EMERGING from inelastic interactions is scored
                   Default = 2.0

    So, you have two choices:
    either WHAT(4) = first region and WHAT(5) = second region
    or WHAT(4) = -1.0 and WHAT(5) = -2.0

    but you have WHAT(4) = -2.0 and WHAT(5) = -1.0, which is meaningless.
    In addition, even choosing WHAT(4) = -1.0 and WHAT(5) = -2.0 would not
    work in the case of electrons and positrons, because that would request
    the yield of particles emerging from inelastic interactions, i.e. NUCLEAR
    inelastic interactions. The way muons produce electrons is only as
    delta rays and as decay products, which cannot be classified as inelastic
    interactions.
    If instead you set WHAT(4) = 3.0 and WHAT(5) = 2.0 (with the positive sign),
    that would mean "yield of electrons exiting from region 3 into region 2).
    I have tried it on your input, and this time the file is not empy (see attached
    file).

    I would like to add a few more comments concerning your input file, although
    they are not necessarily connected with your question.

    - There is no DEFAULTS card, therefore the NEW-DEFA defaults apply, which
      have a threshold of 1 MeV for the production of delta rays. The electron
      yield you can get with USRYIELD depends closely from this threshold. If
      you change it using option DELTARAY, you will get more or less electrons
      depending on your choice.
    - You have requested photonuclear interactions with command PHOTONUC, but only
      for materials from 3.0 to 6.0. Your only non-vacuum region is made of
      material 26 ("LIQUIDS"), therefore you will not get any photonuclear
      interaction.
    - You have no command MUPHOTON, which is necessary in order to get muon
      nuclear interactions (via virtual photons)

    I hope this helps.
    Best regards,

        Alberto

    On Tue, 16 Jan 2007, Lindley Winslow wrote:

    >
    > --Apple-Mail-10--432752534
    > Content-Transfer-Encoding: 7bit
    > Content-Type: text/plain;
    > charset=US-ASCII;
    > delsp=yes;
    > format=flowed
    >
    > Hello all,
    >
    > I was trying to score dN/(dOmega dE) and dN/(dE dOmega) for e+ and e-
    > and I am getting basically empty files like the one attached. All
    > other particles give answers that seem logical to me. I played with
    > the EMFCUT card and have not been able to change the results. Am I
    > missing a card in order to properly score e+/e-?
    >
    >
    > Thank you,
    > Lindley
    >
    >
    >
    >
    >
    > --Apple-Mail-10--432752534
    > Content-Transfer-Encoding: 7bit
    > Content-Type: application/octet-stream;
    > x-unix-mode=0640;
    > name=cylinderLSExperiment.inp
    > Content-Disposition: attachment;
    > filename=cylinderLSExperiment.inp
    >
    > *...+....1....+....2....+....3....+....4....+....5....+....6....+....7....+....8
    > TITLE
    > Simple Muon Spallation Monte-Carlo in LS target.
    > *...+....1....+....2....+....3....+....4....+....5....+....6....+....7...+...8
    > BEAM 2.85E+02 MUON-
    > BEAMPOS 0.0 0.0 -50.0
    > *
    > GEOBEGIN COMBNAME
    > 0 0 A simple LS target inside vacuum
    > RPP body1 -5000000.0 +5000000.0 -5000000.0 +5000000.0 -5000000.0 +5000000.0
    > RPP body2 -1000000.0 +1000000.0 -1000000.0 +1000000.0 -100.0 +1000000.0
    > RCC body3 0.0 0.0 0.0 0.0 0.0 10000.0 500.0
    > * plane to separate the upstream and downstream part of the target
    > *XYP body4 2.5
    > END
    > * black hole
    > regBH1 5 +body1 -body2 -body3
    > * vacuum around
    > regVA2 5 +body2 -body3
    > * LS target 1st half
    > regBE3 5 +body3
    > * LS target 2nd half
    > *regBE4 5 +body3 -body4
    > END
    > * The next is an example of geometry debugging:
    > *GEOEND 150. 75. 220. 30. 0. -220.DEBUG
    > *GEOEND 120. 1. 110. 0. 0. 0. &
    > *STOP
    > * Normal End.
    > GEOEND
    > *...+....1....+....2....+....3....+....4....+....5....+....6....+....7....+....8
    > * Here defines materials and Compounds for LS
    > *...+....1....+....2....+....3....+....4....+....5....+....6....+....7....+...
    > *1) Hydrogen
    > MATERIAL 1.0 1.00794 0.0000837 3.0 1.0 HYDROGEN
    > *2) Carbon
    > MATERIAL 6.0 12.0107 2.00 6.0 CARBON
    > *3) Oxygen
    > MATERIAL 8.0 15.9994 0.00133 8.0 OXYGEN
    > * liquid scintillator
    > *...+....1....+....2....+....3....+....4....+....5....+....6....+....7....+...
    > MATERIAL 0.0 0.0 0.88 26.0 0.0 0. LIQUIDS
    > COMPOUND +0.43 6.0 +0.57 3.0 0.0 0. LIQUIDS
    > * LS target, 1st and 2nd half
    > ASSIGNMAT LIQUIDS regBE3
    > * regBE4
    > * External Black Hole
    > ASSIGNMAT BLCKHOLE regBH1
    > * Vacuum
    > ASSIGNMAT VACUUM regVA2
    > * Turn on the Physics Model. Start with the e+/e- production/trackign threshold.
    > *...+....1....+....2....+....3....+....4....+....5....+....6....+....7....+....8
    > EMFCUT -1.0E-4 1.0E-4 0.0 26.0 26.0 PROD-CUT
    > * Photo Nuclear Interactions.
    > PHOTONUC 1.0 0.0 0.0 3.0 6.0 0.
    > * The rest of the physics model.
    > EVENTYPE 0.0 0.0 2.0 0.0 0.0 0.DPMJET
    > PHYSICS 3.0 EVAPORAT
    > PHYSICS 1.0 COALESCE
    > *
    > * Activates Residual Nuclei scoring
    > *...+....1....+....2....+....3....+....4....+....5....+....6....+....7....+...
    > RESNUCLEI 3.0 -34.0 regBE3
    > RESNUCLEI 1.0 -35.0 regBE3
    > RESNUCLEI 2.0 -36.0 regBE3
    > *...+....1....+....2....+....3....+....4....+....5....+....6....+....7....+...
    > * dN_/dE/dOmega in lab frame.
    > USRYIELD 1401.0 NEUTRON -51.0 -2.0 -1.0 1.nuSpecF
    > USRYIELD 2. 0. 200.3.14159265 0.0 3. &
    > * dN_/dE/dOmega in lab frame.
    > USRYIELD 1401.0 ELECTRON -53.0 -2.0 -1.0 1.eleSpec
    > USRYIELD 2. 0. 200.3.14159265 0.0 3. &
    > * dN_/dE/dOmega in lab frame.
    > USRYIELD 1401.0 POSITRON -54.0 -2.0 -1.0 1.posSpec
    > USRYIELD 2. 0. 200.3.14159265 0.0 3. &
    > * dN_/dE/dOmega in lab frame.
    > USRYIELD 1401.0 PHOTON -55.0 -2.0 -1.0 1.gamSpec
    > USRYIELD 2. 0. 200.3.14159265 0.0 3. &
    > * dN_/dE/dOmega in lab frame.
    > USRYIELD 1401.0 PROTON -56.0 -2.0 -1.0 1.proSpec
    > USRYIELD 2. 0. 200.3.14159265 0.0 3. &
    > * dN_/dE/dOmega in lab frame.
    > USRYIELD 1401.0 PION+ -57.0 -2.0 -1.0 1.pplSpec
    > USRYIELD 2. 0. 200.3.14159265 0.0 3. &
    > * dN_/dE/dOmega in lab frame.
    > USRYIELD 1401.0 PION- -58.0 -2.0 -1.0 1.pmnSpec
    > USRYIELD 2. 0. 200.3.14159265 0.0 3. &
    > *...+....1....+....2....+....3....+....4....+....5....+....6....+....7...+...8
    > USRTRACK 1.0 NEUTRON -61.0 regBE3 1.0 200.nuTrckU
    > USRTRACK 2. 0. &
    > USRTRACK 1.0 NEUTRON 62.0 regBE3 1.0 200.nuTrckF
    > USRTRACK 2. 0. &
    > USRTRACK 1.0 ELECTRON -63.0 regBE3 1.0 200.eminTrck
    > USRTRACK 2. 0. &
    > USRTRACK 1.0 POSITRON -64.0 regBE3 1.0 200.eposTrck
    > USRTRACK 2. 0. &
    > USRTRACK 1.0 PHOTON -65.0 regBE3 1.0 200.photTrck
    > USRTRACK 2. 0. &
    > USRTRACK 1.0 PROTON -66.0 regBE3 1.0 200.protTrck
    > USRTRACK 2. 0. &
    > USRTRACK 1.0 PION+ -67.0 regBE3 1.0 200.piplTrck
    > USRTRACK 2. 0. &
    > USRTRACK 1.0 PION- -68.0 regBE3 1.0 200.pimnTrck
    > USRTRACK 2. 0. &
    > * dN_neutron/dOmega/dE in lab frame.
    > USRYIELD 1401.0 NEUTRON -71.0 -2.0 -1.0 1.nuSpecB
    > USRYIELD 1. 0.01 990.3.14159265 0.0 3. &
    > * dN_neutron/dOmega/dE in lab frame.
    > USRYIELD 114.0 NEUTRON -81.0 -2.0 -1.0 1.nAngle1
    > USRYIELD 3.14159265 0.0 300 2.0 0.0 3. &
    > * dN_neutron/dOmega/dE in lab frame.
    > USRYIELD 114.0 NEUTRON -91.0 -2.0 -1.0 1.nAngle2
    > USRYIELD 3.14159265 0.0 600 2.0 0.0 3. &
    > * dN_neutron/dOmega/dE in lab frame.
    > USRYIELD 114.0 NEUTRON -92.0 -2.0 -1.0 1.nAngle3
    > USRYIELD 3.14159265 0.0 600 285.0 0.0 3. &
    > * dN_electron/dOmega/dE in lab frame.
    > USRYIELD 114.0 ELECTRON -93.0 -2.0 -1.0 1.nAngleE
    > USRYIELD 3.14159265 0.0 600 285.0 0.0 3. &
    > * dN_positron/dOmega/dE in lab frame.
    > USRYIELD 114.0 POSITRON -94.0 -2.0 -1.0 1.nAngleP
    > USRYIELD 3.14159265 0.0 600 285.0 0.0 3. &
    > * dN_electron/dOmega/dE in lab frame.
    > USRYIELD 114.0 ELECTRON 95.0 -2.0 -1.0 1.angleE2
    > USRYIELD 3.14159265 0.0 600 285.0 0.0 3. &
    > * dN_positron/dOmega/dE in lab frame.
    > USRYIELD 114.0 POSITRON 96.0 -2.0 -1.0 1.angleP2
    > USRYIELD 3.14159265 0.0 600 285.0 0.0 3. &
    >
    > * Dump all particles.
    > * Notice slightly different bar to get formatting right.
    > USERDUMP 200.0 37.0 1.0 1.0 SRCEPART
    > * This one is from USDRAW
    > OPEN 71.0
    > usrdraw.txt
    > *...+....1....+....2....+....3....+....4....+....5....+....6....+....7....+....8
    > RANDOMIZE 1.0
    > *...+....1....+....2....+....3....+....4....+....5....+....6....+....7....+....8
    > START 5000.0
    > STOP
    >
    > --Apple-Mail-10--432752534
    > Content-Transfer-Encoding: 7bit
    > Content-Type: application/octet-stream;
    > x-unix-mode=0644;
    > name=cylinderLSExperiment001_fort.95
    > Content-Disposition: attachment;
    > filename=cylinderLSExperiment001_fort.95
    >
    >
    > ***** Simple Muon Spallation Monte-Carlo in LS target. *****
    >
    > DATE: 1/16/ 7, TIME: 15:35:34
    >
    > Total number of particles followed 5000, for a total weight of 5.0000E+03
    >
    > 1
    >
    > Yield n. 14 "angleE2 " , generalized particle n. 3, from region n. -1 to region n. -2
    > user normalization: 1.0000E+00, adopted cross section (if any): 1.0000E+00 mb
    > linear 1st variable binning from 0.0000E+00 to 3.1416E+00 600 bins ( 5.2360E-03 wide)
    > 2nd variable ranges from 0.0000E+00 to 2.8500E+02
    > 1st variable is: Laboratory Angle (radians)
    > 2nd variable is: Laboratory Kinetic Energy
    > Data follow in a vector A(ie), format (1(5x,1p,10(1x,e11.4)))
    >
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 2.9779E-05 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 2.7275E-05 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    > 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
    >
    > --Apple-Mail-10--432752534--
    >

    -- 
    Alberto Fassò
    SLAC-RP, MS 48, 2575 Sand Hill Road, Menlo Park CA 94025
    Phone: (1 650) 926 4762   Fax: (1 650) 926 3569
    fasso@slac.stanford.edu
        [ Part 2, ""  Text/PLAIN (Name: "mu003_fort.95")  193 lines. ]
        [ Unable to print this part. ]
    

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