********** Eigenvalues for the 2+1 transverse lattice ********** Couplings: m^2, G^2 N, la_1, la_2, la_3, tau_1, tau_2 0 1 2 3 4 5 6 (2-6 /a) Use chi^2 fit with 14 criteria, and tolerance 0.001. Overall scale from fitting lowest state to lattice value. 2 parity doublets with fractional errors 1 0.1. Spectrum for P_perp a = (0) ( 0.25) using (# states, o, multiplet, c^2 error for each) = (4, 1 & -1, 1 & 2, 0.1 2 2 0.5) (4, 1 & -1, 2 & 1, 0.25 0.25 1 1). Spectra extrapolated using (K,p) = (20/2,6) (20/2,8) (26/2,6) (32/2,6) . Winding potential using (n,K,p) = ( 2,20/2,4) ( 2,20/2,6) ( 2,24/2,4) ( 2,34/2,4) ( 3,21/2,5) ( 3,21/2,7) ( 3,25/2,5) ( 3,35/2,5) ( 4,20/2,6) ( 4,20/2,8) ( 4,24/2,6) ( 4,34/2,6) . Heavy potential determined using (n,K,p,K_max) = ( 1,-40/2,2,4) ( 1,-40/2,4,4) ( 1,-40/2,2,3.5) ( 1,-50/2,2,3.75) ( 1,-50/2,2,4.25) ( 1,-70/2,2,4) ( 1,-70/2,2,4.5) , L = 3 4 6 (all in G^2 N units); relative scale error 0.1. Roundness determined using (n,K,p,K_max) = ( 1,-21/2,3,4) ( 1,-21/2,5,4) ( 1,-21/2,3,3.5) ( 1,-35/2,3,4) ( 1,-35/2,3,5) ( 1,-69/2,3,5) ( 1,-69/2,3,6) L=0 and error 0.1; ( 1,-21/2,3,4) ( 1,-21/2,5,4) ( 1,-21/2,3,3.5) ( 1,-35/2,3,4) ( 1,-35/2,3,5) ( 1,-69/2,3,5) ( 1,-69/2,3,6) L=2.5 and error 0.1; ( 1,-21/2,3,4) ( 1,-21/2,5,4) ( 1,-21/2,3,3.5) ( 1,-35/2,3,4) ( 1,-35/2,3,5) ( 1,-69/2,3,5) ( 1,-69/2,3,6) L=5 and error 0.1; all in G^2 N units. p-extrapolation using n=( 1) and (K,p) = (21/2,3) (27/2,3) (39/2,3) (21/2,5) (27/2,5) (21/2,7) (23/2,7) . Result format: Fit info, # steps, chi^2, p damping, and scale G^2 N/sigma. The 7 couplings (G^2 N units) and which--if any--were fit. Winding potential and heavy source potential fits. Roundness with calculated and derived values (G^2 N units). The rescaled spectrum for each P_perp*a and c^2 values. Finally come the states for the ordinary spectra. 5 27 12402.52809 -0.25 -18.3792656 0.09 1 -0.2698105218 -0.35 709.0213239 -3.138170834 -5.518453665 2 4 5 6 0.242504 -1.415823 1.812777 -0.029748 0.164028 -0.083844 0.795032 -0.114482 0.068964 -0.124230 -0.257445 -0.151680 16.524200 16.212245 22.246384 -65.220779 -64.976409 -17.426725 -87.824872 -88.037836 15.187028 -104.753150 -104.829177 5.421738 -76.549451 -76.704329 11.044811 -113.451026 -113.609477 11.299621 -168.025452 -168.402071 26.857796 -181.349873 -181.306394 -3.100609 16.524200 -65.220779 -87.824872 -104.753150 -168.025452 -216.601979 -216.033955 -270.379297 -76.549451 -113.451026 -181.349873 -182.228174 -114.345995 -174.135144 -166.966586 -189.523542 5 27 12615.24204 -0.25 -18.5904931 0.09 1 -0.2973689208 -0.3 4316.303361 -3.123355698 -5.520635387 2 4 5 6 0.264424 -1.335217 1.727372 -0.028317 0.163057 -0.082323 0.795217 -0.116257 0.068809 -0.125081 -0.257910 -0.150068 16.524200 16.278998 19.285715 -56.587591 -56.375222 -16.703337 -88.816888 -88.983598 13.112178 -106.068713 -106.133500 5.095621 -78.713078 -78.849452 10.726137 -116.986138 -117.126495 11.039437 -169.677999 -170.138387 36.210660 -179.648920 -179.566733 -6.464209 16.524200 -56.587591 -88.816888 -106.068713 -169.677999 -218.915986 -202.418474 -272.919206 -78.713078 -116.986138 -179.648920 -183.910265 -114.677090 -156.219028 -165.793928 -202.855266 5 26 53.77056345 -0.8647974204 5.451654867 0.09 1 -0.2295639772 -0.25 10920.94533 -0.8388948215 -1.146225982 2 4 5 6 0.368344 -0.505249 0.198450 0.190994 0.101123 -0.098353 0.826895 0.703334 0.902536 0.869451 1.236174 1.229842 16.524200 16.574729 1.623475 30.507684 30.465919 -1.341897 34.478153 34.488991 0.348226 47.927759 47.933127 0.172479 25.422696 25.444003 0.684571 48.634401 48.664478 0.966340 57.447682 57.453587 0.189715 61.737441 61.735570 -0.060112 16.524200 30.507684 34.478153 53.037593 61.737441 75.770430 91.879702 95.284530 25.422696 48.634401 57.447682 63.645247 47.927759 71.322321 70.990572 80.605757 5 26 13.37073923 -0.9210682031 5.222200242 0.09 1 -0.2467357992 -0.2 10575.96488 -0.6887349238 -1.081276325 2 4 5 6 0.390868 -0.484550 0.187425 0.200474 0.087495 -0.088457 0.828138 0.714926 0.914612 0.890354 1.256281 1.269822 16.524200 16.557883 1.100057 28.214131 28.185643 -0.930416 33.117477 33.126804 0.304593 46.221274 46.224516 0.105861 24.631156 24.647728 0.541198 47.735123 47.759231 0.787336 55.231709 55.234785 0.100450 59.590926 59.591643 0.023411 16.524200 28.214131 33.117477 51.665341 59.590926 73.031707 87.277212 91.873818 24.631156 47.735123 55.231709 60.285155 46.221274 67.482246 67.417841 79.730859 3 23 11.12218907 -0.7951982338 6.715174452 0.09 1 -0.2869079816 -0.15 206.3317144 -1.352987104 -1.457828547 2 4 5 6 0.398569 -0.514531 0.287154 0.153137 0.139051 -0.116254 0.821620 0.760845 0.844827 0.869121 1.139121 1.125187 16.524200 16.547336 0.990754 32.111604 32.092250 -0.828795 41.878476 41.889652 0.478604 56.412827 56.415357 0.108339 31.535102 31.553169 0.773703 59.776261 59.802554 1.125950 70.337724 70.333126 -0.196890 73.336316 73.315359 -0.897467 16.524200 32.111604 41.878476 60.649301 74.350206 91.552729 104.408121 115.475191 31.535102 59.776261 70.337724 73.336316 56.412827 78.760712 82.835548 99.856637 5 28 19.55403506 -0.8924756879 7.15789053 0.09 1 -0.2913712567 -0.1 4.491644115 -1.279940766 -1.151076451 2 4 5 6 0.425478 -0.480342 0.233652 0.159962 0.134805 -0.117330 0.823778 0.856537 0.898043 0.959838 1.230308 1.211956 16.524200 16.539127 0.727367 34.326243 34.341583 0.747520 35.613633 35.604137 -0.462711 57.270291 57.288476 0.886109 34.026406 34.039863 0.655731 66.307059 66.329003 1.069297 75.278135 75.271814 -0.307987 78.275309 78.252866 -1.093593 16.524200 35.613633 34.326243 57.270291 80.801186 99.071445 113.256958 125.262173 34.026406 66.307059 75.278135 78.275309 61.722289 85.065819 90.866027 106.497033 2 8 103.2194112 -1.00893519 5.708562315 0.09 1 -0.289415 -0.05 50 -0.97786 -1.33022 2 4 5 6 0.452522 -0.452763 0.184235 0.183180 0.110704 -0.105159 0.826488 0.786756 0.873639 0.927124 1.186661 1.248882 16.524200 16.526690 0.102931 29.952384 29.951422 -0.039768 35.653686 35.661748 0.333212 50.844164 50.844452 0.011914 27.451992 27.458501 0.269010 55.219298 55.232501 0.545717 60.335160 60.329255 -0.244043 62.910492 62.892399 -0.747815 16.524200 29.952384 35.653686 54.586157 65.953279 80.479490 93.101919 101.114954 27.451992 55.219298 60.335160 62.910492 50.844164 69.724630 74.903458 85.121487 5 29 107.9067633 -1.101214258 6.503132855 0.09 1 -0.2872526626 0 3.68673475 -1.099136369 -1.167157772 2 4 5 6 0.476139 -0.435770 0.151413 0.175838 0.119844 -0.112221 0.827905 0.883881 0.900663 1.001233 1.232736 1.284481 16.524200 16.526325 0.105259 30.240697 30.246256 0.275395 35.984640 35.984675 0.001730 51.782832 51.788272 0.269530 31.520234 31.523461 0.159860 65.222535 65.234608 0.598119 68.800430 68.790811 -0.476510 71.913739 71.893124 -1.021335 16.524200 35.984640 30.240697 51.782832 76.483531 92.968692 108.470282 115.556975 31.520234 65.222535 68.800430 71.913739 59.343023 81.046348 87.263486 97.165007 2 8 129.4649014 -1.156119113 5.507808393 0.09 1 -0.289415 0.05 50 -0.97786 -1.33022 2 4 5 6 0.495585 -0.424078 0.125404 0.185037 0.107879 -0.103810 0.827396 0.798562 0.873413 0.939037 1.186023 1.262244 16.524200 16.524922 0.031544 31.627970 31.627819 -0.006591 34.467620 34.475783 0.356497 50.901985 50.901981 -0.000143 26.794614 26.794172 -0.019282 56.690616 56.698759 0.355610 58.046864 58.036214 -0.465106 60.659058 60.641806 -0.753443 16.524200 31.627970 34.467620 53.465797 65.435567 79.315606 92.863230 97.582492 26.794614 56.690616 58.046864 60.659058 50.901985 69.145235 74.582958 82.363294 5 28 121.2181126 -1.189671925 5.967477746 0.09 1 -0.2882941828 0.1 10.95425265 -1.12136086 -1.105982873 2 4 5 6 0.511917 -0.412478 0.094242 0.176153 0.117795 -0.110092 0.825439 0.844117 0.907857 0.967094 1.246821 1.259243 16.524200 16.527072 0.140357 34.984425 34.992168 0.378434 35.264491 35.263080 -0.068966 55.448477 55.448678 0.009826 29.048522 29.044847 -0.179654 62.101011 62.103311 0.112431 62.873641 62.864727 -0.435653 65.210319 65.191675 -0.911263 16.524200 35.264491 34.984425 55.515443 71.259915 86.179115 101.040189 105.084909 29.048522 62.101011 62.873641 65.210319 55.448477 74.927970 80.827725 89.294100 2 7 127.1962156 -1.22527098 6.032865387 0.09 1 -0.289415 0.15 50 -0.97786 -1.33022 2 4 5 6 0.526354 -0.398198 0.051130 0.186611 0.103609 -0.099207 0.822858 0.897714 0.868030 1.024546 1.179514 1.328725 16.524200 16.529266 0.257387 36.668483 36.676338 0.399091 37.413531 37.411845 -0.085628 56.274263 56.274803 0.027446 29.335707 29.328960 -0.342771 62.813435 62.809949 -0.177143 63.824968 63.819480 -0.278845 65.562994 65.543315 -0.999849 16.524200 36.668483 37.413531 56.910533 72.314668 87.262363 102.544825 105.581797 29.335707 62.813435 63.824968 65.562994 56.274263 75.760414 81.568574 90.437182 5 28 12561.1507 -0.25 -18.38439001 0.1225 1 -0.341004126 -0.35 1732.74064 -2.929672657 -2.876035286 2 4 5 6 0.289898 -1.385604 1.725406 0.021003 0.108740 -0.021362 0.829572 0.314483 0.624839 0.321077 0.748068 0.339733 16.524200 16.249756 23.402831 -63.757886 -63.522852 -20.042268 -105.607547 -105.816619 17.828373 -110.461319 -110.518347 4.863012 -82.569984 -82.700784 11.153816 -124.529677 -124.679934 12.812911 -178.791840 -178.901664 9.365103 -187.214708 -187.148512 -5.644769 16.524200 -63.757886 -105.607547 -110.461319 -178.791840 -229.091058 -242.006931 -284.747415 -82.569984 -124.529677 -187.214708 -189.019142 -122.956267 -193.572968 -171.585223 -196.320282 2 12 14154.86869 -0.25 -18.6201714 0.1225 1 -0.3637421533 -0.3 42.95493663 -3.068881472 -6.3398474 2 4 5 6 0.313460 -1.284829 1.604565 0.005962 0.121136 -0.038484 0.829784 0.179599 -0.004277 0.181463 -0.411499 0.186742 16.524200 16.317246 19.326774 -57.733374 -57.548466 -17.267955 -108.212076 -108.374254 15.145261 -109.967945 -110.017047 4.585547 -84.795466 -84.909071 10.609253 -129.287955 -129.422687 12.582262 -181.630617 -182.018464 36.219885 -186.013454 -185.681671 -30.984205 16.524200 -57.733374 -108.212076 -109.967945 -181.630617 -232.487533 -232.881346 -289.173600 -84.795466 -129.287955 -186.013454 -191.195643 -124.490525 -181.805625 -169.252508 -199.772579 5 26 68.17589904 -0.7733067353 5.590025021 0.1225 1 -0.302725339 -0.25 8503.135785 -1.01439734 -1.344801843 2 4 5 6 0.411891 -0.509013 0.177498 0.188304 0.095789 -0.088071 0.859315 0.746801 0.914214 0.899054 1.241045 1.240288 16.524200 16.568813 1.643535 31.718113 31.680107 -1.400112 36.780770 36.790412 0.355210 51.254872 51.259293 0.162873 27.608939 27.628432 0.718102 52.849877 52.880237 1.118475 60.642824 60.647211 0.161628 66.363163 66.313155 -1.842273 16.524200 31.718113 36.780770 56.662247 66.363163 80.999992 99.366999 100.768552 27.608939 52.849877 60.642824 66.836235 51.254872 75.028144 75.820995 80.137576 5 26 14.80098622 -0.8215653355 5.421398282 0.1225 1 -0.3162169401 -0.2 9324.98502 -0.933494568 -1.276940505 2 4 5 6 0.434516 -0.482435 0.153995 0.193585 0.089875 -0.084878 0.860161 0.757931 0.926015 0.914698 1.260941 1.265801 16.524200 16.552402 1.062954 30.162193 30.138167 -0.905549 35.743987 35.752330 0.314431 50.098642 50.101326 0.101152 27.018542 27.033824 0.575972 52.511364 52.536864 0.961120 58.940192 58.941757 0.058990 64.129449 64.102756 -1.006068 16.524200 30.162193 35.743987 55.546769 64.877448 79.039489 95.800649 98.364746 27.018542 52.511364 58.940192 64.129449 50.098642 72.403642 72.606009 78.505828 5 28 16.54314189 -0.7233186289 7.128318541 0.1225 1 -0.350987264 -0.15 143.5308811 -1.513998878 -1.396700298 2 4 5 6 0.443154 -0.506853 0.238195 0.153343 0.125615 -0.099811 0.853953 0.832240 0.899458 0.929471 1.218655 1.168177 16.524200 16.542805 0.940369 36.087141 36.071908 -0.769926 46.171443 46.181592 0.512948 62.991071 62.993150 0.105082 35.334618 35.351353 0.845847 67.569326 67.598524 1.475743 76.764230 76.759816 -0.223106 80.078678 80.055765 -1.158136 16.524200 36.087141 46.171443 67.238809 83.125920 101.650496 118.210182 127.040175 35.334618 67.569326 76.764230 80.078678 62.991071 89.553149 88.786250 102.958450 5 28 26.56675494 -0.8420444692 8.044972264 0.1225 1 -0.3489924967 -0.1 3.213557622 -1.627757663 -1.42045325 2 4 5 6 0.472584 -0.457787 0.151703 0.145698 0.136878 -0.112247 0.857554 0.922365 0.900120 1.002670 1.217803 1.208094 16.524200 16.541977 1.081396 32.586131 32.604690 1.128939 46.514862 46.504766 -0.614149 63.326115 63.343254 1.042581 40.411365 40.424360 0.790509 80.218801 80.248333 1.796431 86.987268 86.978599 -0.527383 91.437292 91.413580 -1.442460 16.524200 46.514862 32.586131 63.326115 96.367465 117.166010 137.375989 146.399279 40.411365 80.218801 86.987268 91.437292 73.824735 103.820787 103.296035 122.712170 2 29 104.1068994 -0.8930165786 6.253248095 0.1225 1 -0.3566965438 -0.05 40.94533275 -1.137297406 -1.225542051 2 4 5 6 0.494742 -0.436442 0.118939 0.181940 0.102429 -0.092574 0.857753 0.881628 0.931366 1.004611 1.271711 1.300117 16.524200 16.526205 0.099248 34.802351 34.801710 -0.031736 40.386606 40.394488 0.390156 58.133548 58.133789 0.011914 31.592964 31.599265 0.311914 64.277697 64.299268 1.067754 67.328385 67.316719 -0.577441 70.625946 70.608953 -0.841160 16.524200 34.802351 40.386606 61.257288 75.724568 91.783943 107.456915 113.853032 31.592964 64.277697 67.328385 70.625946 58.133548 80.753049 80.639061 98.278910 5 29 122.9300474 -0.9480213713 6.229349433 0.1225 1 -0.3559113289 0 52.00704302 -1.297845502 -1.198646117 2 4 5 6 0.516111 -0.417007 0.082916 0.171979 0.113128 -0.099939 0.857901 0.860440 0.935867 0.975226 1.279458 1.252259 16.524200 16.524432 0.011944 36.076233 36.076570 0.017337 40.379842 40.387956 0.417424 58.774256 58.774258 0.000069 31.625755 31.628513 0.141916 65.783171 65.797811 0.753084 66.992047 66.981644 -0.535155 70.093741 70.077915 -0.814096 16.524200 36.076233 40.379842 61.141097 76.332860 92.217506 108.232615 113.267792 31.625755 65.783171 66.992047 70.093741 58.774256 80.725889 81.155198 100.160344 5 29 130.9753058 -1.003196187 6.187149221 0.1225 1 -0.3551554098 0.05 84.90494602 -1.247741163 -1.141768291 2 4 5 6 0.536029 -0.399187 0.043857 0.176305 0.108571 -0.097556 0.857750 0.885670 0.944721 1.001905 1.294836 1.283608 16.524200 16.524806 0.032174 37.364102 37.362789 -0.069668 40.259375 40.268680 0.493758 59.229876 59.229881 0.000256 31.524880 31.524408 -0.025030 66.238744 66.244219 0.290540 67.200046 67.193843 -0.329175 69.431553 69.416681 -0.789175 16.524200 37.364102 40.259375 60.912791 76.685921 92.345082 108.809908 112.380589 31.524880 66.238744 67.200046 69.431553 59.229876 80.364465 81.824695 100.775540 5 29 125.7686507 -1.02790567 6.674914597 0.1225 1 -0.3572659976 0.1 28.34581964 -1.587438957 -1.352834807 2 4 5 6 0.552077 -0.383824 0.005320 0.153041 0.130634 -0.111186 0.855673 0.867237 0.908885 0.960615 1.234413 1.192647 16.524200 16.526560 0.139140 40.521867 40.539888 1.062528 43.395352 43.384844 -0.619518 64.121873 64.122076 0.011991 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