********** 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 33 177181.3343 -0.25 4.886444289 0.2025 1 -0.6 -0.164530078 2.914185139 -1.012917421 -1.307245698 3 4 5 6 0.442375 -1.415733 1.802171 0.200037 0.019502 0.028927 0.871939 0.678530 0.947004 0.846775 1.299031 1.217263 -20.532916 -20.531098 0.062885 7.176268 7.205231 1.001728 8.347873 8.341425 -0.223036 28.914723 28.917630 0.100537 24.059975 24.074855 0.514658 33.870343 33.895519 0.870737 45.608162 45.523679 -2.921940 45.942670 45.996718 1.869320 -20.532916 8.347873 7.176268 30.922867 47.386862 60.894604 59.185254 74.704459 24.059975 33.870343 45.608162 45.942670 28.914723 43.677922 32.616808 53.449939 5 33 19.71149971 -0.3543297385 4.739118092 0.2025 1 -0.5 -0.2653751267 24.23876679 -0.6183664842 -1.426480787 3 4 5 6 0.460264 -0.803783 0.661174 0.219410 0.038249 -0.031617 0.909506 0.733850 0.971390 0.924084 1.317480 1.337213 1.729031 1.755294 0.916579 21.456599 21.434118 -0.784581 31.109007 31.115549 0.228327 40.991158 40.993589 0.084846 25.137497 25.153735 0.566704 44.411252 44.449302 1.327938 52.475135 52.465872 -0.323295 53.649208 53.619476 -1.037673 1.729031 21.456599 31.109007 41.714654 56.344588 69.440741 83.554041 86.032547 25.137497 44.411252 52.475135 53.649208 40.991158 60.912540 58.323988 63.425291 5 33 20.91819201 -1.080178713 7.066525039 0.2025 1 -0.4 -0.149679551 568.8083973 -1.997666119 -1.970068334 3 4 5 6 0.595190 -0.342357 -0.207408 0.145454 0.135197 -0.122112 0.945827 0.905773 0.933661 0.987213 1.231908 1.194669 35.103803 35.118935 1.018294 52.228197 52.236519 0.560064 53.921190 53.907749 -0.904517 82.470886 82.471932 0.070412 40.662549 40.672376 0.661307 83.379145 83.385762 0.445271 87.681448 87.700489 1.281353 98.213099 98.190721 -1.505906 35.103803 53.921190 52.228197 91.133864 102.703043 121.599720 148.911323 149.391444 40.662549 83.379145 87.681448 98.213099 82.470886 110.430799 124.055462 124.066736 2 8 45.93651044 -1.251453849 3.845348189 0.2025 1 -0.3 -0.288039 50 -0.0108868 -1.67907 3 4 5 6 0.572967 -0.343763 -0.283454 0.233542 0.023658 -0.027156 0.955661 0.694102 0.989830 0.912671 1.323121 1.370124 23.092575 23.121713 1.027158 29.142598 29.149662 0.249049 33.539760 33.513057 -0.941351 47.912329 47.914056 0.060871 22.286631 22.295158 0.300601 45.821249 45.826891 0.198880 48.880461 48.896665 0.571230 58.051680 57.985555 -2.331046 23.092575 33.539760 29.142598 50.491602 58.051680 68.431095 83.654606 85.003107 22.286631 45.821249 48.880461 58.300136 47.912329 64.609784 70.276313 74.882021 5 33 20.46288739 -1.815640985 5.70124242 0.2025 1 -0.2 -0.2227545064 13.33946056 1.774374094 -1.663038377 3 4 5 6 0.638515 -0.357333 -0.232506 0.179260 0.098895 -0.099153 0.970823 0.893786 1.011574 1.011354 1.352291 1.296789 37.505720 37.523588 1.040715 49.325506 49.350012 1.427309 56.896004 56.866906 -1.694845 70.281083 70.293945 0.749205 33.968162 33.976497 0.485454 69.272373 69.278131 0.335371 80.204988 80.220251 0.888979 92.858356 92.842618 -0.916709 37.505720 49.325506 56.896004 70.281083 92.858356 108.310998 131.590742 134.952107 33.968162 69.272373 80.204988 93.615452 79.042837 104.118289 111.620916 119.441170 5 33 16.88297449 -2.187686605 6.207464142 0.2025 1 -0.1 -0.2484526582 16.36656672 2.054933769 -1.834473528 3 4 5 6 0.650286 -0.379115 -0.200225 0.163878 0.120114 -0.121167 0.975888 0.916235 0.992945 1.015402 1.318127 1.262442 42.764436 42.780563 1.041534 58.480924 58.514478 2.167154 67.421708 67.387040 -2.239080 79.186292 79.197791 0.742667 37.150833 37.159894 0.585234 75.779320 75.785785 0.417546 90.261420 90.277544 1.041427 104.273842 104.265369 -0.547231 42.764436 58.480924 67.421708 79.186292 104.273842 121.050847 146.760288 150.711605 37.150833 75.779320 90.261420 106.600155 90.339811 118.356303 125.183189 134.556836 5 33 15.33917849 -2.78966376 6.645177824 0.2025 1 0 -0.2463616276 15.87589203 2.291287862 -1.948811513 3 4 5 6 0.663437 -0.396707 -0.160311 0.151005 0.137372 -0.139685 0.978371 0.928897 0.979370 1.014248 1.293862 1.231114 46.172346 46.187197 1.047542 67.253216 67.287763 2.436894 76.716454 76.683836 -2.300819 84.976283 84.987101 0.763032 39.814565 39.823411 0.623976 81.289155 81.295599 0.454536 99.289594 99.304417 1.045598 114.293388 114.288457 -0.347836 46.172346 67.253216 76.716454 84.976283 114.293388 132.088009 159.975752 164.257237 39.814565 81.289155 99.289594 117.808871 100.439234 130.809775 137.083923 147.785701 5 33 13.83461228 -6.783655593 7.430471159 0.2025 1 0.1 -0.2194498837 20.14124052 2.609988164 -2.082946952 3 4 5 6 0.676064 -0.413094 -0.105118 0.132172 0.161064 -0.164810 0.978483 0.941604 0.959646 1.008603 1.260231 1.183653 52.815827 52.829036 1.061688 79.841112 79.871791 2.465838 89.536290 89.508967 -2.196129 97.481397 97.489529 0.653589 44.419782 44.428133 0.671221 90.874000 90.880205 0.498707 113.406671 113.419117 1.000394 130.048942 130.047726 -0.097698 52.815827 79.841112 89.536290 97.481397 130.048942 149.616922 181.167927 185.858978 44.419782 90.874000 113.406671 134.774875 115.609225 149.738436 155.862182 168.310154 5 33 12.37438378 -2.837170413 8.3258391 0.2025 1 0.2 -0.191985171 491.7997941 2.846052767 -2.239902539 3 4 5 6 0.678272 -0.394696 -0.137794 0.118901 0.176105 -0.181110 0.975562 0.964989 0.932216 1.019085 1.214710 1.163796 62.382601 62.394339 1.060650 92.934773 92.960248 2.301745 103.495051 103.471552 -2.123228 115.501201 115.508040 0.617938 49.392958 49.400849 0.713020 101.415234 101.421103 0.530299 128.211039 128.221548 0.949564 146.702525 146.703645 0.101131 62.382601 92.934773 103.495051 115.501201 146.702525 168.161183 203.891094 208.844903 49.392958 101.415234 128.211039 152.858178 131.663279 169.950367 175.870856 190.227917 5 33 12.20220324 -2.390917194 8.344211386 0.2025 1 0.3 -0.2127607388 1232.070363 2.891696372 -2.232224154 3 4 5 6 0.662704 -0.381288 -0.167758 0.119001 0.172535 -0.177211 0.968686 0.954787 0.924169 1.009400 1.204540 1.155239 62.038784 62.050767 1.060211 93.781345 93.807015 2.271223 105.842824 105.820924 -1.937612 115.701563 115.707245 0.502773 48.721958 48.730249 0.733570 100.756343 100.762511 0.545724 127.366139 127.376993 0.960274 146.244892 146.245456 0.049875 62.038784 93.781345 105.842824 115.701563 146.244892 167.201299 203.230619 207.741515 48.721958 100.756343 127.366139 152.499606 132.287550 170.856745 175.547825 190.286341 5 32 12.55393782 -2.067516676 8.527330425 0.2025 1 0.4 -0.2100634216 768.6118994 2.97818427 -2.231622226 3 4 5 6 0.648152 -0.361601 -0.202232 0.116500 0.171376 -0.175680 0.960246 0.945580 0.912968 0.998504 1.189757 1.140123 62.679428 62.691499 1.067453 96.463123 96.485900 2.014159 109.237241 109.219856 -1.537417 118.044028 118.048130 0.362755 48.887681 48.895776 0.715911 101.931652 101.937691 0.534062 128.835789 128.845647 0.871738 148.250008 148.251112 0.097596 62.679428 96.463123 109.237241 118.044028 148.250008 169.027498 206.072661 210.248157 48.887681 101.931652 128.835789 154.836687 135.066619 174.920114 177.818206 193.449892 5 33 914.629817 -0.335830962 4.425404614 0.25 1 -0.6 -0.2129818622 2304.993205 0.1571873383 -1.384078627 3 4 5 6 0.532996 -0.748775 0.532236 0.235312 0.019933 -0.023943 0.941994 0.772776 1.020766 0.975352 1.386152 1.416724 -1.286210 -1.276124 0.380621 20.870723 20.861992 -0.329485 31.035472 31.040474 0.188758 39.781778 39.791835 0.379526 24.764650 24.775365 0.404365 47.228400 47.207094 -0.804099 47.363722 47.409360 1.722371 50.322098 50.298428 -0.893296 -1.286210 20.870723 31.035472 39.781778 55.332967 67.656914 81.055622 84.146244 24.764650 47.363722 47.228400 50.322098 39.920809 57.589449 57.702719 61.955647 5 30 22.11318881 -0.7360129827 4.489464494 0.25 1 -0.5 -0.2705737822 87.58740395 -0.075904386 -1.477955065 3 4 5 6 0.576298 -0.397700 -0.187307 0.234765 0.021419 -0.024651 0.969995 0.814300 1.039447 1.007882 1.401661 1.437926 16.312650 16.336957 1.006234 31.885697 31.885471 -0.009336 33.764849 33.749147 -0.650009 50.528315 50.530273 0.081063 26.429531 26.440034 0.434768 53.421112 53.441394 0.839609 53.517317 53.524562 0.299908 61.824149 61.793677 -1.261422 16.312650 31.885697 33.764849 55.425909 64.471093 76.726752 93.000203 94.182559 26.429531 53.517317 53.421112 61.824149 50.528315 68.752234 76.922101 77.916483 5 34 42.87444482 -1.082758856 3.840120463 0.25 1 -0.4 -0.3005941627 211.0437943 0.02171007704 -1.711428175 3 4 5 6 0.616067 -0.316570 -0.381866 0.235290 0.020775 -0.024206 0.988528 0.721934 1.029220 0.935984 1.374682 1.390305 22.574757 22.602530 1.051301 30.152153 30.157550 0.204272 33.977610 33.952650 -0.944803 49.148541 49.150207 0.063092 23.355270 23.363453 0.309738 47.030447 47.035392 0.187158 50.641809 50.659471 0.668561 59.335461 59.288959 -1.760217 22.574757 33.977610 30.152153 52.418993 60.089540 70.581680 85.894090 86.396114 23.355270 47.030447 50.641809 59.335461 49.148541 65.462232 72.315066 76.420491 2 33 41.11209723 -1.362728101 3.899287129 0.25 1 -0.3 -0.3392133725 13.53360703 0.1059371165 -1.829747937 3 4 5 6 0.640820 -0.311583 -0.421797 0.235424 0.020433 -0.023823 1.000174 0.747660 1.026994 0.955975 1.364921 1.404061 25.011946 25.037638 1.027178 32.225547 32.244237 0.747211 39.597336 39.566171 -1.245969 48.837012 48.850098 0.523175 24.134663 24.142757 0.323604 48.418362 48.423592 0.209082 54.799896 54.817398 0.699751 64.485137 64.427223 -2.315380 25.011946 32.225547 39.597336 48.837012 64.485137 75.168473 91.103718 92.300543 24.134663 48.418362 54.799896 65.027953 54.206988 71.460775 77.327518 82.214832 5 33 23.43369672 -1.900226958 5.508778672 0.25 1 -0.2 -0.2610832257 12.46388226 1.80091136 -1.856505506 3 4 5 6 0.707019 -0.343863 -0.316315 0.185909 0.089401 -0.091704 1.013453 0.930737 1.040314 1.050531 1.380778 1.343071 37.967702 37.983928 1.011158 53.793981 53.824037 1.873022 62.203863 62.172047 -1.982673 69.397732 69.410958 0.824175 34.919962 34.927632 0.477962 69.544666 69.549990 0.331763 84.596953 84.612385 0.961666 97.298992 97.274307 -1.538323 37.967702 53.793981 62.203863 69.397732 97.298992 112.432340 135.606976 138.497554 34.919962 69.544666 84.596953 98.245028 83.837228 108.469634 115.984817 123.740910 5 33 17.2966442 -2.66480306 6.745905269 0.25 1 -0.1 -0.2080085199 13.72678806 2.480820996 -2.142837182 3 4 5 6 0.744702 -0.377861 -0.221145 0.147390 0.141218 -0.145445 1.020384 0.974256 1.008481 1.052057 1.323427 1.253324 48.251068 48.264098 1.047318 73.819446 73.849882 2.446446 81.601221 81.571711 -2.372036 87.099308 87.110298 0.883374 43.212321 43.219260 0.557776 85.841722 85.846697 0.399948 108.858506 108.870717 0.981476 123.893176 123.887520 -0.454604 48.251068 73.819446 81.601221 87.099308 123.893176 142.351597 171.274792 175.582033 43.212321 85.841722 108.858506 125.688177 108.488452 139.034669 147.280505 157.555128 5 33 15.73776957 -7.101494941 7.26111883 0.25 1 0 -0.2123084379 17.49226751 2.67210794 -2.202276117 3 4 5 6 0.752873 -0.393497 -0.191260 0.137291 0.154934 -0.161011 1.022044 0.994357 1.002210 1.061767 1.312049 1.239183 53.545023 53.557016 1.048993 83.965664 83.997071 2.747053 92.417837 92.390000 -2.434865 96.873624 96.880955 0.641269 46.506617 46.513755 0.624358 92.507572 92.512809 0.458083 119.462012 119.473603 1.013770 135.845338 135.842154 -0.278452 53.545023 83.965664 92.417837 96.873624 135.845338 155.476767 186.946427 191.485417 46.506617 92.507572 119.462012 138.074192 120.315164 153.706211 161.399083 173.090181 5 34 13.85121202 -8.165634584 8.385641944 0.25 1 0.1 -0.1889812974 245.8120682 3.003603855 -2.427641678 3 4 5 6 0.761195 -0.396574 -0.173496 0.117375 0.180045 -0.188521 1.021818 1.013015 0.969258 1.063150 1.255913 1.198893 66.189242 66.199510 1.048601 101.597570 101.625572 2.859837 110.944610 110.918588 -2.657635 120.171796 120.177521 0.584710 53.567545 53.574604 0.720961 106.736280 106.741498 0.532889 140.098069 140.108316 1.046557 158.976555 158.976158 -0.040578 66.189242 101.597570 110.944610 120.171796 158.976555 181.278619 218.000840 223.026334 53.567545 106.736280 140.098069 159.368350 142.185967 180.998694 188.811961 202.853074 5 30 12.73868403 -7.515759486 8.484985821 0.25 1 0.2 -0.2005069002 1430.670962 3.063719328 -2.427354315 3 4 5 6 0.754097 -0.386081 -0.198617 0.116406 0.179653 -0.188691 1.018401 1.011751 0.964688 1.061134 1.249930 1.195004 66.929973 66.940296 1.056806 104.891805 104.917748 2.655954 115.475120 115.453493 -2.214155 122.036431 122.040131 0.378766 53.729748 53.736903 0.732509 107.475755 107.481061 0.543220 141.907348 141.917265 1.015251 160.716616 160.722273 0.579110 66.929973 104.891805 115.475120 122.036431 161.316624 183.418402 220.825537 225.513240 53.729748 107.475755 141.907348 160.716616 145.472680 184.973256 191.724534 206.366320 5 31 14.70763349 -2.611171547 8.81413964 0.25 1 0.3 -0.1719834734 5880.77969 3.187765886 -2.442290267 3 4 5 6 0.750254 -0.365276 -0.229366 0.111452 0.183575 -0.193453 1.013749 1.009121 0.956197 1.054837 1.237841 1.179502 69.186988 69.197127 1.072777 111.272550 111.291488 2.003764 121.691244 121.679229 -1.271283 127.175438 127.176019 0.061469 55.251313 55.257644 0.669880 110.972795 110.977467 0.494369 147.520480 147.528237 0.820685 166.241008 166.245949 0.522774 69.186988 111.272550 121.691244 127.175438 167.589649 189.990466 229.153180 233.663711 55.251313 110.972795 147.520480 166.241008 152.230316 193.297595 199.319282 214.845485 5 32 18.40951838 -2.193821434 9.057503897 0.25 1 0.4 -0.138309748 1504.589628 3.288120239 -2.440864547 3 4 5 6 0.742253 -0.335150 -0.282604 0.108376 0.184109 -0.194320 1.007156 1.004911 0.947452 1.048439 1.226303 1.167557 70.457097 70.467097 1.075613 115.848288 115.860195 1.280807 125.619953 125.616676 -0.352458 131.274619 131.272906 -0.184235 56.013048 56.018383 0.573843 113.126308 113.130263 0.425416 150.965283 150.970711 0.583917 169.892240 169.896294 0.436120 70.457097 115.848288 125.619953 131.274619 171.512348 193.847656 234.321299 238.502535 56.013048 113.126308 150.965283 169.892240 156.813663 198.997277 204.122271 220.245591