********** 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 minimizing chi^2. 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 32 4565945.047 -0.25 -0.2974658506 0.09 1 -0.6 -0.008150280401 -1.258195576 -1.708793034 -1.253944285 3 4 5 6 0.297147 -6.625055 6.051253 0.138850 -0.553361 0.942590 0.488019 5.282154 0.541948 0.170739 0.836344 0.329673 6.354540 6.354591 -0.000073 5.607432 5.607059 0.000528 3.287809 3.287639 0.000240 3.262813 2.347412 1.294611 1.852128 1.852186 -0.000083 1.290682 1.088030 0.286602 1.260565 0.718182 0.767067 1.086649 0.644898 0.624748 6.354540 5.607432 3.287809 0.216209 0.719043 1.260565 1.290682 0.532223 1.852128 0.646071 1.086649 0.506740 2.347410 3.262813 1.333724 0.582735 5 32 1083806.8 -0.25 -0.4072311228 0.09 1 -0.5 0.02024621386 -4.181742079 -1.386696956 -1.338854999 3 4 5 6 0.350517 -2.360067 3.220077 0.147808 -0.101858 0.305151 0.687807 1.199445 0.717003 0.390874 1.001438 0.699002 4.225615 4.225874 -0.000591 3.478431 3.478446 -0.000034 1.716743 1.717083 -0.000777 0.939458 0.939452 0.000014 -0.500363 -0.500334 -0.000066 -1.050140 -1.242517 0.439362 -1.243707 -1.267316 0.053920 -1.266868 -1.921690 1.495524 3.478431 4.225615 1.716743 0.939458 -1.907688 -1.923112 -1.050140 -3.454710 -1.266868 -0.500363 -1.243707 -2.293588 -0.033718 0.903550 -1.791215 -2.272398 5 34 143585.0156 -0.25 0.5769569181 0.09 1 -0.4 -0.1050693303 11.03713807 -1.217666538 -1.281111194 3 4 5 6 0.338526 -1.331660 1.893083 0.158357 0.050329 0.039459 0.772424 0.221034 0.816909 0.465418 1.120889 0.851771 -2.184949 -2.184628 0.001005 0.623745 0.623552 -0.000605 1.650006 1.875753 0.705469 2.145192 2.392376 0.772460 2.442791 2.444858 0.006459 3.312769 3.315006 0.006991 3.842215 4.184813 1.070631 4.189050 5.092258 2.822562 -2.184949 0.623745 1.650006 2.391717 4.705194 6.096058 3.842215 7.880921 2.442791 3.312769 4.189050 5.495991 2.767811 2.145192 4.573310 6.588904 5 30 8.140432639 -0.5076145742 5.45282897 0.09 1 -0.3 -0.2074708064 1759.001869 -0.924350609 -1.3291559 3 4 5 6 0.349821 -0.680806 0.600233 0.182344 0.103287 -0.087409 0.811117 0.664266 0.853412 0.825943 1.160097 1.173529 7.099811 7.134016 1.043960 22.235339 22.205445 -0.912373 33.163109 33.174374 0.343831 41.224596 41.250205 0.781603 24.748759 24.771164 0.683833 43.359122 43.387201 0.856971 55.889289 55.873353 -0.486380 56.410475 56.458707 1.472070 7.099811 22.235339 33.163109 41.224596 56.410475 70.458806 75.788065 88.589381 24.748759 43.359122 55.889289 56.817186 41.294762 56.843021 61.023986 77.372147 5 30 12.46394067 -1.427079458 6.186710732 0.09 1 -0.2 -0.1361145972 631.2457404 -1.258143284 -1.353769756 3 4 5 6 0.450493 -0.419928 0.060541 0.165104 0.139621 -0.134180 0.843381 0.792893 0.889213 0.912187 1.204318 1.192061 29.522429 29.545680 1.036845 39.261617 39.242437 -0.855332 40.497493 40.506456 0.399655 61.917371 61.918805 0.063945 30.261349 30.272894 0.514794 63.927798 63.948934 0.942533 67.061295 67.062096 0.035691 76.734138 76.737132 0.133483 29.522429 39.261617 40.497493 71.711513 76.734138 92.773536 115.752771 116.786506 30.261349 63.927798 67.061295 77.026576 61.917371 87.704880 91.377892 99.809754 5 34 17.60299526 -2.282894752 6.725645006 0.09 1 -0.1 -0.1080961134 36.3162816 -1.500706608 -1.452730724 3 4 5 6 0.491451 -0.418638 0.046940 0.151449 0.161442 -0.158826 0.857055 0.841825 0.890563 0.939919 1.199803 1.179154 40.745756 40.765915 1.066139 46.757489 46.768992 0.608340 50.500400 50.481712 -0.988308 75.450936 75.451738 0.042458 33.589358 33.597959 0.454882 73.282727 73.292550 0.519464 77.334971 77.341597 0.350418 89.915123 89.916740 0.085548 40.745756 46.757489 50.500400 81.158935 89.915123 107.507768 133.099175 138.530838 33.589358 73.282727 77.334971 91.461079 75.450936 104.194992 110.629572 119.753236 5 33 13.73519764 -2.511500094 6.020610748 0.09 1 0 -0.1917216239 11.60122107 -1.310317765 -1.278602552 3 4 5 6 0.473092 -0.427046 0.030151 0.168273 0.138271 -0.139531 0.856859 0.801407 0.918844 0.923395 1.248735 1.209237 34.750663 34.774109 1.068494 43.002361 43.024817 1.023395 50.337047 50.308610 -1.295975 67.244894 67.264667 0.901111 29.694083 29.705085 0.501404 65.388520 65.399724 0.510582 69.499920 69.512052 0.552889 81.675492 81.678876 0.154192 34.750663 43.002361 50.337047 67.244894 81.675492 97.336592 120.445359 125.144808 29.694083 65.388520 69.499920 85.168281 69.934244 96.497892 100.754720 110.286868 5 34 17.64664087 -2.242596628 4.968623963 0.09 1 0.1 -0.3136087353 13.25409145 -0.5379378004 -1.288692504 3 4 5 6 0.430397 -0.444102 0.019264 0.213415 0.063303 -0.068037 0.845787 0.738088 0.903500 0.923440 1.228640 1.325713 28.320065 28.350752 1.049980 34.172801 34.199639 0.918266 44.247304 44.213537 -1.155361 56.204086 56.221389 0.592016 23.672433 23.685800 0.457361 52.924453 52.939793 0.524875 55.333921 55.349180 0.522105 66.219654 66.216398 -0.111405 28.320065 34.172801 44.247304 56.204086 66.219654 78.904354 98.083493 101.190478 23.672433 52.924453 55.333921 70.717137 57.356001 79.450263 82.487925 90.443974 5 33 12.9458856 -2.293745308 5.74591947 0.09 1 0.2 -0.320301868 16.04856627 -1.168090251 -1.234636378 3 4 5 6 0.429543 -0.457543 0.060991 0.182289 0.111307 -0.111880 0.839558 0.768070 0.904884 0.910525 1.234922 1.234474 33.610668 33.637236 1.049156 41.260441 41.294771 1.355680 53.302186 53.267376 -1.374625 66.625377 66.644969 0.773694 26.913298 26.927530 0.562053 60.926201 60.941332 0.597521 64.460936 64.477907 0.670162 77.078509 77.075548 -0.116916 33.610668 41.260441 53.302186 66.625377 77.078509 91.472445 113.943192 117.424811 26.913298 60.926201 64.460936 82.778867 67.787977 93.324708 96.148219 105.755726 5 34 17.37097357 -1.948438502 5.279937933 0.09 1 0.3 -0.4054099314 18.53252387 1.016063185 -1.292554299 3 4 5 6 0.390256 -0.491163 0.114343 0.206795 0.060598 -0.062153 0.821044 0.723847 0.872479 0.901457 1.189639 1.288911 30.240166 30.271161 1.021856 36.045920 36.083962 1.254192 49.670567 49.634059 -1.203629 60.822702 60.829432 0.221897 23.591200 23.606990 0.520571 54.478831 54.499859 0.693259 56.705943 56.721166 0.501857 68.644749 68.636519 -0.271352 30.240166 36.045920 49.670567 61.414199 68.644749 81.481408 102.296963 104.770757 23.591200 54.478831 56.705943 74.841754 60.822702 83.969733 86.723388 95.163092 2 34 12.43376154 -1.712330567 5.531372362 0.09 1 0.4 -0.4452646021 27.15803603 1.393598592 -1.201625082 3 4 5 6 0.364805 -0.523439 0.191962 0.188026 0.080550 -0.076571 0.803374 0.685807 0.866030 0.846780 1.189041 1.198503 31.571878 31.603645 1.025606 36.931898 36.974947 1.389871 52.353544 52.314491 -1.260846 62.706205 62.737232 1.001720 23.655589 23.672735 0.553580 55.725996 55.752896 0.868512 57.704170 57.716230 0.389357 70.161152 70.150622 -0.339954 31.571878 36.931898 52.353544 65.085813 70.161152 83.187752 105.231985 107.363258 23.655589 55.725996 57.704170 77.216159 62.706205 86.627203 89.532968 98.088034 5 32 1901108.635 -0.25 -0.4133717207 0.1225 1 -0.6 -0.002714447014 -1.056228114 -1.469444242 -1.321987068 3 4 5 6 0.352641 -3.322548 4.056108 0.156779 -0.191575 0.436425 0.679090 1.624790 0.722708 0.375991 1.024998 0.680442 5.699137 5.699194 -0.000133 2.481282 2.481115 0.000390 2.181488 2.181653 -0.000385 1.801306 1.801306 0.000002 0.134992 0.135235 -0.000566 -0.445483 -0.638558 0.450319 -0.639744 -0.860483 0.514842 -0.859552 -1.500006 1.493764 5.699137 1.801306 2.481282 2.181488 -1.358940 -1.511958 -0.445483 -1.999801 -0.859552 0.134992 -0.639744 -1.705963 0.695095 1.436548 0.202296 -1.842614 5 33 385065.1712 -0.25 0.5757920496 0.1225 1 -0.5 -0.07063710209 2.387698487 -1.27775275 -1.348211999 3 4 5 6 0.376085 -1.623668 2.305540 0.166149 0.002192 0.107378 0.781961 0.364954 0.825354 0.464216 1.135189 0.856427 -3.572240 -3.572449 -0.000724 0.153225 0.152879 -0.001200 0.239012 0.240765 0.006073 1.807426 2.062481 0.883701 2.429569 2.431141 0.005445 2.810783 2.812192 0.004880 3.538028 3.534788 -0.011226 3.624998 4.419097 2.751352 -3.572240 0.153225 0.239012 2.062608 4.387840 5.705116 3.624998 6.776224 2.429569 2.810783 3.538028 5.277641 2.192348 1.807426 2.894225 5.739223 5 33 18.38039162 -0.3751813597 7.182574566 0.1225 1 -0.4 -0.1429334508 139.584386 -1.411151635 -1.408022611 3 4 5 6 0.410147 -0.747582 0.740589 0.159249 0.088975 -0.041389 0.835785 0.812511 0.876080 0.914800 1.189014 1.164832 -0.007345 0.005445 0.602823 26.158533 26.148056 -0.493823 44.150808 44.161426 0.500470 48.880508 48.888473 0.375406 34.333254 34.353074 0.934228 59.132717 59.164112 1.479805 72.860149 72.866462 0.297597 73.280890 73.236930 -2.072051 -0.007345 26.158533 44.150808 48.880508 75.603187 94.338951 95.699901 118.085864 34.333254 59.132717 72.860149 73.280890 53.677086 71.124976 72.063669 92.587954 1 28 14.74512804 -0.9863546739 5.703302138 0.1225 1 -0.3 -0.1737429417 7506.377767 -1.14982818 -1.397550364 3 4 5 6 0.459563 -0.436919 0.065254 0.180932 0.107787 -0.100753 0.866478 0.781270 0.914705 0.918947 1.237923 1.235422 21.286412 21.310062 0.991829 34.164656 34.144847 -0.830724 38.114340 38.122356 0.336178 55.470853 55.472823 0.082630 28.868860 28.882007 0.551358 58.301101 58.326854 1.079970 62.513815 62.513322 -0.020679 69.630061 69.608705 -0.895605 21.286412 34.164656 38.114340 62.627494 70.664827 85.561991 105.529635 106.461192 28.868860 58.301101 62.513815 69.630061 55.470853 78.862878 81.118825 85.864032 5 32 19.2459122 -1.641522516 5.979595501 0.1225 1 -0.2 -0.1420189055 1209.561958 -1.348775552 -1.398857272 3 4 5 6 0.519228 -0.394053 -0.040355 0.171491 0.127494 -0.126153 0.886933 0.837128 0.940175 0.956453 1.270742 1.240293 35.435118 35.456528 1.063566 42.222973 42.231297 0.413519 45.090454 45.071681 -0.932550 67.876118 67.877125 0.050047 31.408108 31.417092 0.446294 67.047812 67.056424 0.427812 70.299350 70.309735 0.515896 82.190136 82.193680 0.176055 35.435118 45.090454 42.222973 75.360092 82.190136 97.964379 120.963590 124.784252 31.408108 67.047812 70.299350 82.307101 67.876118 93.133251 100.537700 103.678363 5 33 18.42817601 -1.940626088 5.217453999 0.1225 1 -0.1 -0.2179758112 8.779616132 -0.910435242 -1.241411255 3 4 5 6 0.513263 -0.401948 -0.065747 0.200166 0.086550 -0.091170 0.892486 0.810361 0.971822 0.966399 1.321970 1.321532 29.401190 29.425728 1.051366 37.955450 37.976879 0.918165 44.657721 44.628875 -1.235953 56.395424 56.414585 0.820984 27.405457 27.415423 0.427043 58.786735 58.795070 0.357124 62.967884 62.982015 0.605439 74.104019 74.103421 -0.025600 29.401190 37.955450 44.657721 56.395424 74.104019 87.885321 108.195269 111.976528 27.405457 58.786735 62.967884 76.275078 62.710980 85.750169 90.680673 98.315882 5 34 20.67875333 -2.029405296 4.896835921 0.1225 1 0 -0.3051204161 16.62174803 -0.5088699402 -1.449780873 3 4 5 6 0.492418 -0.413613 -0.083376 0.218661 0.053102 -0.057903 0.889933 0.787623 0.936210 0.968664 1.262745 1.370163 29.972405 29.999333 1.038882 36.448137 36.474878 1.031701 45.682813 45.648242 -1.333782 58.511882 58.527249 0.592843 25.349859 25.361630 0.454130 54.862993 54.872709 0.374833 58.901776 58.919897 0.699144 70.079500 70.073625 -0.226690 29.972405 36.448137 45.682813 58.511882 70.079500 82.886233 102.107929 105.173167 25.349859 54.862993 58.901776 73.663134 60.268937 82.304336 86.095473 93.705394 2 7 30.56712456 -2.282540705 5.170058654 0.1225 1 0.1 -0.343449 50 0.199666 -1.69987 3 4 5 6 0.487394 -0.428073 -0.062162 0.230067 0.028002 -0.031495 0.886326 0.849682 0.892029 1.030974 1.188850 1.441644 33.412805 33.436669 0.962144 39.960246 39.993526 1.341780 51.106154 51.069518 -1.477072 65.181031 65.193413 0.499206 26.427886 26.440522 0.509440 57.645594 57.655903 0.415607 62.671121 62.690882 0.796741 74.697826 74.690361 -0.300993 33.412805 39.960246 51.106154 65.181031 74.697826 88.021655 108.543309 111.549696 26.427886 57.645594 62.671121 79.307919 65.208183 88.532333 91.978679 100.354937 5 33 12.95587852 -2.455166892 6.43597882 0.1225 1 0.2 -0.3089044429 22.49822047 1.945922819 -1.551152614 3 4 5 6 0.500007 -0.434181 -0.021801 0.158282 0.125023 -0.122129 0.883963 0.818519 0.912984 0.923366 1.226724 1.177102 40.959954 40.980363 1.050835 53.328551 53.367118 1.985729 66.086662 66.051127 -1.829669 79.356442 79.370054 0.700857 32.674778 32.687815 0.671271 71.634542 71.645140 0.545652 79.929503 79.948638 0.985233 94.501712 94.497384 -0.222857 40.959954 53.328551 66.086662 79.356442 94.501712 110.784500 136.696963 140.543077 32.674778 71.634542 79.929503 100.520923 83.715716 112.793970 116.158995 127.154296 5 33 12.9878404 -2.119625639 6.476483484 0.1225 1 0.3 -0.3540126067 23.89792539 1.992125985 -1.546856918 3 4 5 6 0.477194 -0.444154 -0.003867 0.157732 0.121264 -0.116925 0.872173 0.800807 0.898803 0.906829 1.208979 1.162122 40.739138 40.760278 1.045348 53.268540 53.311743 2.136343 67.743230 67.706909 -1.796041 79.925853 79.939017 0.650936 31.948435 31.962572 0.699091 71.081284 71.092896 0.574202 78.735598 78.756284 1.022856 93.770526 93.763601 -0.342448 40.739138 53.268540 67.743230 79.925853 93.770526 109.712106 136.010478 139.356110 31.948435 71.081284 78.735598 100.716629 83.825828 113.045985 115.806668 126.939055 5 33 13.05075605 -1.809896082 6.590637442 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