********** 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 28 85055928.57 -0.25 -0.1791727179 0 1 -0.6 -0.0546190298 -3.237925911 -1.368713247 -1.628938322 3 4 5 6 0.382899 -61.708114 44.599608 -0.020335 -7.185211 -0.452850 -7.640614 -11.271982 -7.586359 -7.417061 -7.575458 -7.377460 16.524200 16.524248 -0.000053 14.235972 14.235976 -0.000004 13.245118 12.958773 0.314317 12.904304 12.953032 -0.053487 14.979309 14.979441 -0.000145 13.175968 13.176031 -0.000070 12.828248 12.678661 0.164198 12.810840 12.391117 0.460722 16.524200 14.235972 13.245118 12.899083 12.828248 12.005296 12.472529 11.418297 14.979309 13.175968 12.810840 12.241295 12.666594 12.461902 12.904304 12.091148 5 28 45984227.02 -0.25 -0.2436783132 0 1 -0.5 -0.06369534909 -3.857698506 -1.291006985 -1.500701684 3 4 5 6 0.208310 -43.604848 36.735121 -0.000537 -4.605800 -0.101569 -4.836822 -5.519107 -4.757851 -4.647732 -4.730698 -4.628797 16.524200 16.524331 -0.000106 14.299335 14.299375 -0.000033 12.670587 12.666950 0.002954 12.471433 12.433108 0.031127 14.490531 14.490784 -0.000206 12.893019 12.892373 0.000525 12.281099 12.281402 -0.000246 11.949426 11.818178 0.106596 16.524200 14.299335 12.433012 11.946471 11.818690 12.281099 11.708411 10.367070 14.490531 12.893019 11.949426 11.755489 12.471433 12.670587 12.193523 10.714059 3 18 20305146.53 -0.25 -0.3667133171 0 1 -0.4 -0.0009998522833 263554.7326 -1.234902323 -1.360155955 3 4 5 6 0.227998 -25.754959 21.680785 0.034047 -2.370213 0.488455 -2.277984 0.425290 -2.138765 -2.089982 -2.033756 -2.102242 16.524200 16.524204 -0.000005 14.367476 14.367461 0.000021 12.674958 13.110068 -0.582072 12.619812 11.650104 1.297233 13.233941 13.234143 -0.000270 11.372472 11.372332 0.000188 11.153432 11.153483 -0.000069 10.823243 11.029721 -0.276217 16.524200 14.367476 12.619812 11.355107 10.729231 11.372472 8.912506 8.154013 13.233941 11.153432 10.823243 9.797909 11.650108 12.674958 9.518764 8.250221 2 9 6734188.685 -0.25 -0.6378957771 0 1 -0.3 -0.102364 50 -1.13357 -1.24487 3 4 5 6 0.016099 -15.102744 15.488583 0.065482 -1.073795 1.017930 -0.376680 11.508437 -0.219601 -0.503044 0.024535 -0.542781 16.524200 16.524082 0.000019 13.218014 13.223723 -0.000938 13.043040 13.038128 0.000807 12.088007 12.635564 -0.089968 11.823534 11.822523 0.000166 9.816315 9.801591 0.002419 9.460985 9.475671 -0.002413 9.012793 8.674382 0.055603 16.524200 13.043040 13.218014 9.990004 9.816315 9.012793 7.318114 6.437630 11.823534 9.460985 7.910325 6.505385 11.132862 12.088007 8.155571 6.605444 5 29 1001541.234 -0.25 -1.651403285 0 1 -0.2 -0.1086698821 0.8281456595 -1.056723989 -1.128476618 3 4 5 6 0.055227 -5.567835 6.071214 0.063803 -0.141743 0.440171 0.465036 1.017231 0.439040 0.193660 0.609595 0.266003 16.524200 16.520722 0.005076 11.108681 11.115882 -0.010508 7.826362 7.674406 0.221737 7.677099 7.081938 0.868470 6.511451 6.501778 0.014116 2.907856 3.632663 -1.057654 1.488887 2.991588 -2.192773 0.867849 1.444152 -0.840954 16.524200 11.108681 7.677099 5.171322 2.907856 0.297068 -1.645561 -2.019692 6.511451 -1.928803 1.488887 0.867849 7.273032 7.826362 3.056470 -0.809035 2 28 8240.090929 -0.25 -20.18332137 0 1 -0.1 -0.1203625276 9.821136837 -1.635938797 -2.216519213 3 4 5 6 0.123918 -1.011803 1.436268 -0.005358 0.182925 -0.025246 0.593060 0.141304 0.325095 0.139217 0.319183 0.133470 16.524200 16.361409 6.514408 -21.347603 -21.631381 11.355956 -28.999206 -28.863797 -5.418707 -70.038812 -69.854811 -7.363187 -56.296147 -56.508647 8.503656 -74.508301 -74.602102 3.753639 -116.777645 -116.629232 -5.939073 -116.930337 -117.116626 7.454744 16.524200 -28.999206 -21.347603 -77.285501 -122.265074 -119.082928 -169.606240 -185.031882 -56.296147 -74.508301 -116.777645 -116.930337 -70.038812 -77.272338 -99.969993 -143.829449 5 27 6.48760648 -1.605811226 7.317176744 0 1 0 -0.1269419192 3298.694781 -0.6100093656 -0.637282721 3 4 5 6 0.183646 -0.425253 0.257634 0.137800 0.230623 -0.225544 0.619163 0.590794 0.714542 0.727002 1.012870 1.005690 16.524200 16.572939 1.047914 27.575936 27.545732 -0.649394 34.523312 34.548577 0.543189 44.584173 44.592243 0.173527 23.001774 23.036265 0.741561 43.640684 43.680151 0.848562 57.738851 57.745493 0.142797 61.625350 61.664317 0.837816 16.524200 27.575936 34.523312 48.905455 57.738851 74.111648 88.564044 94.845903 23.001774 43.640684 61.625350 64.578006 44.584173 65.765316 72.758186 78.780881 5 28 16.8599107 -1.978616626 6.159570992 0 1 0.1 -0.1576522128 3.175031293 -0.7144879676 -0.7738504657 3 4 5 6 0.178513 -0.450108 0.310688 0.136824 0.216268 -0.204175 0.607819 0.493893 0.673726 0.653448 0.950943 0.951285 16.524200 16.575964 0.910682 21.282561 21.304289 0.382251 28.459805 28.429482 -0.533467 40.877168 40.885071 0.139033 18.504288 18.530266 0.457022 38.174541 38.209026 0.606703 49.816170 49.824699 0.150052 51.592328 51.625866 0.590036 16.524200 28.459805 21.282561 41.577078 49.816170 63.964952 82.803336 83.273165 18.504288 38.174541 51.592328 56.315261 40.877168 64.327354 65.663891 72.450382 5 29 64.38017244 -1.563904091 5.175801666 0 1 0.2 -0.1526204664 7.982803611 -0.727770436 -0.617451612 3 4 5 6 0.171828 -0.508954 0.468412 0.145203 0.192053 -0.179706 0.587340 0.419822 0.685533 0.615860 0.985909 0.949054 16.524200 16.554148 0.426148 20.652406 20.669431 0.242269 25.906030 25.888701 -0.246586 35.674630 35.678874 0.060392 14.655226 14.672292 0.242846 32.430120 32.454178 0.342334 41.774224 41.778532 0.061298 42.988725 43.012134 0.333103 16.524200 25.906030 20.652406 40.289202 41.774224 53.721455 67.333242 77.018095 14.655226 32.430120 42.988725 47.535760 35.674630 55.170535 58.228122 60.907572 5 29 76.56907708 -1.230354547 5.156542178 0 1 0.3 -0.1628526683 8.731220557 -0.6509953982 -0.4887938623 3 4 5 6 0.146159 -0.605162 0.713967 0.158494 0.162585 -0.151101 0.555020 0.398390 0.677144 0.619732 0.991969 0.986312 16.524200 16.551359 0.327502 19.409538 19.426980 0.210324 26.328159 26.313581 -0.175796 34.949883 34.953409 0.042523 13.213976 13.229683 0.189408 30.683669 30.705920 0.268321 39.943157 39.954342 0.134880 41.858204 41.872890 0.177090 16.524200 26.328159 19.409538 39.346483 39.943157 51.630925 63.932658 73.496628 13.213976 30.683669 41.858204 46.384251 34.949883 54.555765 51.714252 65.862554 5 29 17.8919222 -0.8932092843 8.378772683 0 1 0.4 -0.3092720076 1321.038929 -1.07397727 -0.7601159105 3 4 5 6 0.065605 -0.795558 1.171588 0.123273 0.150813 -0.086270 0.494249 0.375169 0.546618 0.530788 0.800294 0.805698 16.524200 16.614728 0.796201 30.757687 30.797142 0.347012 41.218399 41.189521 -0.253981 47.558421 47.688066 1.140235 16.839978 16.886726 0.411154 38.619054 38.679714 0.533507 55.648524 55.680356 0.279962 63.074838 63.127455 0.462771 16.524200 41.218399 30.757687 47.558421 55.648524 73.737764 94.114007 101.112355 16.839978 38.619054 63.074838 67.434490 48.717500 72.205177 92.102826 93.287140 5 28 59569828.76 -0.25 -0.2140956987 0.0025 1 -0.6 -0.03476263172 0.4024426615 -1.493661389 -1.484313024 3 4 5 6 0.298962 -47.993747 35.159157 0.016411 -5.245400 -0.103526 -5.523914 -6.127848 -5.457377 -5.245693 -5.431364 -5.184022 16.524200 16.524221 -0.000022 14.267604 14.267602 0.000003 13.046584 12.635055 0.421448 12.659770 12.594015 0.067340 14.496434 14.496552 -0.000121 12.823569 12.823803 -0.000239 12.294156 12.234537 0.061056 11.925556 11.653171 0.278951 16.524200 14.267604 13.046584 12.429646 12.294156 11.477586 11.925556 10.706926 14.496434 12.823569 11.759348 11.593406 12.182479 12.213531 12.659770 11.235040 5 28 30341672.78 -0.25 -0.4358994754 0.0025 1 -0.5 -0.0488944857 -17.46593383 -1.398320065 -1.3901566 3 4 5 6 0.175950 -32.759410 28.584608 0.045430 -3.172137 0.399441 -3.098787 -0.979229 -2.994125 -2.898907 -2.924120 -2.864998 24.010537 24.010530 0.000008 20.983946 20.983956 -0.000012 18.484071 17.295979 1.457959 17.295949 17.256725 0.048133 19.946070 19.946463 -0.000483 17.570535 17.569844 0.000848 17.089477 17.088821 0.000805 16.125368 16.127023 -0.002030 16.524200 24.010537 20.983946 17.295949 15.901190 17.089477 15.687949 12.918523 19.946070 17.570535 16.125368 15.130506 17.198740 18.484071 15.775824 13.897468 2 24 12383984.14 -0.25 -0.4695987022 0.0025 1 -0.4 0.0003522080079 34035.94248 -1.32767921 -0.8128614238 3 4 5 6 0.222545 -18.267718 16.143600 0.079583 -1.560241 1.092804 -1.016217 3.390333 -0.940098 -0.925088 -0.816952 -0.943588 16.524200 16.524204 -0.000007 14.224906 14.224888 0.000031 12.521885 13.338133 -1.364857 11.609265 10.850318 1.269044 11.808185 11.808436 -0.000420 10.465772 10.463881 0.003162 9.547821 10.055150 -0.848311 9.533651 9.548747 -0.025241 16.524200 14.224906 11.609265 10.685175 9.436120 10.465772 7.742090 5.775401 11.808185 9.547821 9.533651 7.578462 10.850323 12.521885 8.956652 5.665862 5 29 3475369.645 -0.25 -0.8864886872 0.0025 1 -0.3 -0.08511868988 5.159717072 -1.201831604 -1.209889827 3 4 5 6 0.091129 -9.458494 9.601632 0.080424 -0.543714 0.883355 0.276236 2.778719 0.296602 0.009831 0.484631 0.035402 16.524200 16.524268 -0.000088 12.835076 12.835102 -0.000034 11.033099 11.417346 -0.496661 9.837910 11.033443 -1.545294 8.880300 8.879705 0.000769 6.771424 6.186912 0.755516 6.251693 6.175115 0.098981 6.151009 4.931221 1.576646 16.524200 11.033099 12.835076 8.026230 6.771424 6.251693 3.669714 3.040480 8.880300 6.151009 3.582883 2.305116 9.239158 9.837910 5.552344 3.841968 5 29 307828.5616 -0.25 -2.979851399 0.0025 1 -0.2 -0.09606131965 2.340399182 -1.10409012 -1.130050596 3 4 5 6 0.129209 -2.620822 3.569131 0.080935 0.051344 0.151660 0.578672 0.279624 0.572897 0.327231 0.785364 0.494858 16.524200 16.519125 0.031264 7.356855 7.363809 -0.042839 3.533713 3.528652 0.031179 1.653711 0.880219 4.764987 -4.930779 -4.976483 0.281551 -5.314316 -5.504237 1.169987 -5.511691 -6.854663 8.273194 -9.586531 -10.479925 5.503628 16.524200 7.356855 3.533713 -1.247947 -10.816689 -5.314316 -15.295181 -20.737353 -4.930779 -5.511691 -9.586531 -10.533097 -0.340799 1.653711 -6.402750 -15.207081 5 28 16890.51171 -0.8466913159 12.32412494 0.0025 1 -0.1 -0.1054218736 10.02281893 -1.037497677 -0.9758813747 3 4 5 6 0.205033 -0.527089 0.477150 0.099905 0.235619 -0.180997 0.649302 0.760700 0.686517 0.816924 0.947321 0.960028 16.524200 16.591086 2.704166 35.277363 35.223654 -2.171423 55.852035 55.894811 1.729392 65.470868 63.906076 -63.263881 41.678521 41.739488 2.464860 71.199728 71.252472 2.132426 95.994178 95.990704 -0.140458 103.375109 103.310616 -2.607435 16.524200 35.277363 55.852035 65.470868 95.994178 122.295763 138.484549 156.784241 41.678521 71.199728 103.375109 107.634428 68.533397 93.458024 111.226592 124.584953 5 28 12.19410144 -1.741650786 6.150516234 0.0025 1 0 -0.1427384314 3.902830427 -0.6847613955 -0.9005255551 3 4 5 6 0.220235 -0.438311 0.241942 0.148216 0.205133 -0.202935 0.660595 0.562635 0.717329 0.717958 0.997594 1.025683 16.524200 16.572728 1.051732 24.242949 24.263616 0.447911 27.243940 27.209934 -0.737011 42.157754 42.164464 0.145438 20.940126 20.965424 0.548285 41.225260 41.256783 0.683200 53.292587 53.291430 -0.025091 54.409542 54.441133 0.684653 16.524200 27.243940 24.242949 43.441675 53.292587 67.625530 83.918607 87.991754 20.940126 41.225260 54.409542 58.623949 42.157754 63.817190 67.264726 68.896791 5 28 30.89468027 -2.239013266 5.120250466 0.0025 1 0.1 -0.1449431441 3.121153682 -0.6931903726 -0.8724593878 3 4 5 6 0.229482 -0.456125 0.284766 0.156218 0.184448 -0.184063 0.655358 0.492582 0.718483 0.679022 1.004760 1.021414 16.524200 16.561806 0.707005 19.874834 19.889336 0.272639 26.405900 26.383217 -0.426432 36.789469 36.825206 0.671854 17.052162 17.068377 0.304849 36.524281 36.547299 0.432742 45.378178 45.399082 0.392996 46.089671 46.089953 0.005293 16.524200 19.874834 26.405900 36.789469 46.089671 58.270551 75.056662 78.280563 17.052162 36.524281 45.378178 50.808103 38.455715 58.032624 61.761928 62.361178 5 29 80.01482926 -1.712877507 4.304294452 0.0025 1 0.2 -0.1510506182 9.118035697 -0.6920763756 -0.7567231508 3 4 5 6 0.217016 -0.502598 0.407952 0.162789 0.164302 -0.161776 0.636471 0.410040 0.720897 0.635528 1.021075 1.011232 16.524200 16.549014 0.370861 18.945576 18.956816 0.167989 23.752966 23.737625 -0.229285 32.998914 33.001561 0.039559 13.551010 13.562951 0.178454 30.473234 30.490873 0.263618 37.684510 37.687833 0.049664 38.394008 38.406449 0.185937 16.524200 23.752966 18.945576 38.380743 38.394008 48.561334 62.661766 64.592496 13.551010 30.473234 37.684510 42.792704 32.998914 50.457231 51.231459 56.656557 2 24 49.57830722 -1.364659009 4.244112667 0.0025 1 0.3 -0.1592097301 20.43087215 -0.601769787 -0.6617899157 3 4 5 6 0.193358 -0.575176 0.596096 0.174924 0.136683 -0.134008 0.608953 0.391327 0.708893 0.639448 1.017269 1.045132 3.913913 3.966554 0.691188 16.524200 16.545657 0.281728 32.103483 32.105790 0.030285 38.404213 38.427592 0.306968 12.324814 12.335751 0.143598 28.801320 28.817539 0.212952 36.403258 36.407723 0.058622 36.594878 36.604787 0.130112 16.524200 38.542712 3.913913 38.404213 36.594878 46.403769 60.544483 62.209078 12.324814 28.801320 36.403258 41.449345 32.103483 49.097475 50.154391 53.535426 5 28 71.59242833 -1.118249183 4.609546775 0.0025 1 0.4 -0.2137856345 12.18923344 -0.4688993949 -0.5559607489 3 4 5 6 0.150357 -0.694410 0.885001 0.185747 0.112023 -0.108466 0.570526 0.383342 0.686462 0.647574 1.002046 1.077890 16.524200 16.558492 0.380268 17.695791 17.704944 0.101496 25.855070 25.838812 -0.180290 32.995242 32.998791 0.039354 11.814377 11.828508 0.156706 28.299306 28.319829 0.227587 37.118016 37.130071 0.133688 38.170776 38.178572 0.086450 16.524200 17.695791 25.855070 38.871775 37.118016 47.429387 60.927560 64.678020 11.814377 28.299306 38.170776 43.252241 32.995242 50.977712 50.201241 56.838291 5 28 40042435.97 -0.25 -0.2611360457 0.01 1 -0.6 -0.02469927932 3.170148461 -1.56622243 -1.366838733 3 4 5 6 0.249369 -36.602272 28.949770 0.062008 -3.733987 0.438152 -3.645217 -0.365917 -3.559551 -3.403734 -3.493798 -3.336242 16.524200 16.524213 -0.000014 14.328997 14.328991 0.000006 12.958844 12.301726 0.684655 12.248754 12.220043 0.029914 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