********** 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 18631.37638 -0.25 -19.6720811 0.2025 1 -0.489648106 -0.35 704.0604725 -3.774279114 -5.258544929 2 4 5 6 0.397910 -1.244664 1.386537 -0.016448 0.108554 -0.048395 0.901614 -0.099456 0.336964 -0.103481 0.189413 -0.115120 16.524200 16.317864 25.842307 -73.765522 -73.579821 -23.257927 -130.144367 -130.180023 4.465716 -151.956752 -152.133847 22.180089 -101.411735 -101.509206 12.207626 -162.146233 -162.308219 20.287641 -215.369132 -215.069041 -37.584478 -216.421361 -216.410230 -1.394146 16.524200 -73.765522 -130.144367 -151.956752 -218.849471 -275.326360 -334.395463 -339.719299 -101.411735 -162.146233 -215.369132 -216.421361 -154.124218 -244.680069 -220.875692 -233.716300 5 27 14430.22825 -0.25 -16.19892374 0.2025 1 -0.5091310006 -0.3 4886.066818 -3.81512225 -6.585312528 2 4 5 6 0.419706 -1.166103 1.295958 -0.020118 0.109621 -0.050841 0.900577 -0.106355 0.098159 -0.112132 -0.251115 -0.128623 16.524200 16.409926 12.430839 -57.161938 -57.058286 -11.275290 -106.949829 -106.975584 2.801582 -122.542280 -122.641541 10.797783 -83.966961 -84.035959 7.505644 -135.751991 -135.877940 13.700747 -173.138108 -173.024459 -12.362823 -177.587083 -177.563775 -2.535416 16.524200 -57.161938 -106.949829 -122.542280 -180.218422 -226.432747 -265.662289 -280.887475 -83.966961 -135.751991 -173.138108 -177.587083 -126.126904 -198.151240 -170.008063 -193.732257 2 17 14483.09031 -0.25 -15.65367889 0.2025 1 -0.5218923459 -0.25 4316.770054 -3.965644341 -6.590503951 2 4 5 6 0.445371 -1.052759 1.138347 -0.032298 0.122653 -0.069750 0.900992 -0.221425 0.097769 -0.230769 -0.252116 -0.257425 16.524200 16.457121 7.482494 -55.786392 -55.726446 -6.686828 -103.413041 -103.434885 2.436564 -118.225613 -118.283943 6.506554 -81.841425 -81.896311 6.122377 -135.735376 -135.856288 13.487400 -165.406392 -165.328308 -8.710065 -171.007494 -170.968828 -4.313123 16.524200 -55.786392 -103.413041 -118.225613 -176.065809 -220.249519 -253.403136 -274.156992 -81.841425 -135.735376 -165.406392 -171.007494 -123.309275 -190.366141 -158.389212 -190.691419 5 27 10991.02551 -0.4729219692 14.58917594 0.2025 1 -0.5070920754 -0.2 169.8635494 -2.918578682 -2.754219025 2 4 5 6 0.503555 -0.597619 0.308842 0.066366 0.141100 -0.090216 0.914641 0.819449 0.771953 0.839442 0.965738 0.896251 16.524200 16.564714 4.762096 74.646325 74.612143 -4.017872 100.321102 100.338652 2.062895 134.098936 134.103598 0.547985 78.766304 78.802270 4.227491 149.894045 150.025526 15.454692 160.102104 160.043074 -6.938548 168.668434 168.599372 -8.117817 16.524200 74.646325 100.321102 138.397076 180.925439 220.328945 264.825507 273.456775 78.766304 149.894045 160.102104 168.668434 134.098936 191.699827 191.799434 209.075382 5 27 134.9000388 -0.5829469129 9.635976711 0.2025 1 -0.5011873267 -0.15 1300.6225 -2.474807367 -2.390269309 2 4 5 6 0.536235 -0.486862 0.111915 0.110079 0.126461 -0.084804 0.919250 0.891184 0.823450 0.939184 1.054136 1.068632 16.524200 16.538430 1.176452 54.226025 54.214441 -0.957682 67.095053 67.106011 0.905912 92.948897 92.950567 0.138043 52.756670 52.774118 1.442481 105.386691 105.373769 -1.068339 105.678888 105.732053 4.395354 113.782008 113.743056 -3.220374 16.524200 54.226025 67.095053 96.721126 123.565649 149.246771 179.598087 185.259784 52.756670 105.678888 105.386691 113.782008 92.948897 129.444486 133.860322 144.554335 5 28 55.89552885 -0.6194725092 9.910504431 0.2025 1 -0.5069043786 -0.1 122.9453137 -2.529084572 -2.35107649 2 4 5 6 0.558206 -0.445555 0.046203 0.101986 0.135396 -0.094920 0.919218 0.877725 0.841252 0.920279 1.085528 1.035966 16.524200 16.530177 0.529052 57.546170 57.541245 -0.435936 68.826445 68.837764 1.001866 96.627805 96.628546 0.065589 54.479853 54.492671 1.134548 109.014670 109.018878 0.372493 110.306843 110.335724 2.556395 116.250165 116.215041 -3.108978 16.524200 57.546170 68.826445 98.966031 128.316037 154.459014 184.304481 191.552363 54.479853 110.306843 109.014670 116.250165 96.627805 132.660896 137.866736 150.833669 2 28 96.50889312 -0.658655249 10.14539814 0.2025 1 -0.5113201654 -0.05 72.55401119 -2.566995766 -2.300378929 2 4 5 6 0.579640 -0.408117 -0.019031 0.099773 0.139901 -0.101162 0.919167 0.897462 0.849108 0.937460 1.099395 1.046938 16.524200 16.525822 0.152581 61.223283 61.220039 -0.305253 70.090092 70.103324 1.245004 100.118527 100.118717 0.017906 55.968057 55.976233 0.769225 112.984097 112.994557 0.984124 113.762382 113.777034 1.378539 118.575302 118.543988 -2.946400 16.524200 61.223283 70.090092 100.837723 132.725488 159.199255 188.406422 197.126120 55.968057 113.762382 112.984097 118.575302 100.118527 135.492738 142.039801 156.688164 2 12 132.4418703 -0.7469845844 8.364494279 0.2025 1 -0.5082442166 0 61.17001249 -2.240600569 -1.979169181 2 4 5 6 0.605406 -0.361245 -0.112652 0.127166 0.125788 -0.094512 0.921968 0.938893 0.902342 0.998818 1.190946 1.157941 16.524200 16.524324 0.010013 50.928519 50.957115 2.316900 61.206914 61.187345 -1.585537 85.335436 85.335424 -0.000934 46.535805 46.538668 0.231901 94.920022 94.924548 0.366719 95.875674 95.883216 0.611032 99.394066 99.373481 -1.667818 16.524200 50.928519 61.206914 85.934413 112.040825 133.666483 157.288960 166.007965 46.535805 94.920022 95.875674 99.394066 85.335436 113.438850 121.786551 132.840419 5 28 134.7773228 -0.7562901807 9.487312856 0.2025 1 -0.5108874653 0.05 115.6549774 -2.414996726 -1.705170431 2 4 5 6 0.621351 -0.340187 -0.156042 0.114454 0.134303 -0.100981 0.919702 0.976738 0.941389 1.023995 1.259956 1.152700 16.524200 16.524733 0.050315 62.486917 62.497835 1.029774 65.865595 65.864465 -0.106601 95.192085 95.192925 0.079277 52.702309 52.701621 -0.064899 107.254617 107.256452 0.173080 108.472907 108.468525 -0.413299 112.303719 112.292531 -1.055195 16.524200 62.486917 65.865595 95.192085 127.277344 151.502627 176.561733 188.179874 52.702309 107.254617 108.472907 112.303719 96.663026 127.091059 137.054975 151.310476 2 18 128.194252 -0.8256993522 8.686221116 0.2025 1 -0.5076590006 0.1 27.21073873 -2.419154429 -2.016799379 2 4 5 6 0.642333 -0.308400 -0.229294 0.115431 0.137590 -0.107188 0.920957 0.925778 0.895300 0.976929 1.179329 1.114455 16.524200 16.526283 0.185949 59.452630 59.461529 0.794454 60.015358 60.014423 -0.083455 88.270393 88.272924 0.225931 48.480955 48.476995 -0.353512 98.707539 98.706700 -0.074872 100.529742 100.519340 -0.928584 105.061132 105.056177 -0.442350 16.524200 60.015358 59.452630 88.270393 118.528940 140.504069 162.769521 174.653958 48.480955 98.707539 100.529742 105.061132 90.604850 117.434467 129.129650 141.272408 5 27 116.7855673 -0.8933620424 7.763328668 0.2025 1 -0.4959197732 0.15 37.88333219 -2.307501418 -2.013910633 2 4 5 6 0.661560 -0.280837 -0.298257 0.126718 0.131168 -0.104407 0.921848 0.914784 0.896833 0.976376 1.181532 1.138832 16.524200 16.528131 0.323050 53.766171 53.774147 0.655472 56.128413 56.126430 -0.162903 80.661259 80.665164 0.320911 43.490685 43.484449 -0.512451 88.557843 88.555523 -0.190693 90.720000 90.708543 -0.941414 95.941792 95.937861 -0.323035 16.524200 56.128413 53.766171 80.661259 107.574787 127.041639 146.382519 157.846863 43.490685 88.557843 90.720000 95.941792 82.715818 105.850219 118.505847 128.468001 2 7 79515.49954 -0.25 -6.388416964 0.25 1 -0.609262 -0.35 50 -0.97786 -1.5017 2 4 5 6 0.428569 -1.497344 1.729862 0.208331 0.020849 0.011966 0.924880 0.894989 0.984643 1.038385 1.335412 1.380687 16.524200 16.473891 2.203835 -18.137669 -18.091673 -2.014891 -41.962980 -41.972181 0.403069 -44.481027 -44.530650 2.173788 -33.855340 -33.885908 1.339044 -51.331302 -51.390339 2.586173 -66.230066 -66.175661 -2.383291 -70.130951 -70.153858 1.003475 16.524200 -18.137669 -41.962980 -44.481027 -70.130951 -89.071874 -107.516662 -112.009722 -33.855340 -51.331302 -66.230066 -70.577355 -47.140120 -76.507186 -69.073983 -74.979826 2 7 48704.01712 -0.25 -8.416693312 0.25 1 -0.609262 -0.3 50 -0.97786 -1.5017 2 4 5 6 0.464232 -1.236325 1.345640 0.208762 0.023959 0.005518 0.930624 1.222104 0.991242 1.330840 1.343301 1.613013 16.524200 16.479483 2.795581 -28.121621 -28.081632 -2.500024 -56.109415 -56.120212 0.674963 -63.895070 -63.940631 2.848369 -45.597386 -45.629487 2.006855 -74.172822 -74.269802 6.062930 -89.541018 -89.483414 -3.601239 -92.786488 -92.745296 -2.575194 16.524200 -28.121621 -56.109415 -63.895070 -96.412253 -120.964863 -145.974464 -152.219377 -45.597386 -74.172822 -89.541018 -92.786488 -66.342099 -103.600571 -94.757098 -103.574738 2 23 22749.59199 -0.2519276172 -12.50849181 0.25 1 -0.6026105646 -0.25 3077.629046 -4.654349912 -7.983398647 2 4 5 6 0.500204 -1.008009 0.990448 -0.076353 0.144049 -0.118749 0.936314 -0.544844 -0.077537 -0.570791 -0.597056 -0.643526 16.524200 16.483250 4.099502 -49.027759 -48.991500 -3.629843 -86.078094 -86.093002 1.492410 -102.810327 -102.850214 3.993038 -69.096993 -69.134258 3.730594 -123.015526 -123.196332 18.100322 -134.586676 -134.482425 -10.436423 -136.822670 -136.748609 -7.414244 16.524200 -49.027759 -86.078094 -102.810327 -149.407281 -185.274376 -223.561976 -231.746487 -69.096993 -123.015526 -134.586676 -136.822670 -105.074494 -158.312173 -147.978087 -161.468017 2 6 29914.66318 -0.3039380669 -19.23154662 0.25 1 -0.609262 -0.2 50 -0.97786 -1.5017 2 4 5 6 0.531831 -0.804632 0.645692 0.209642 0.032720 -0.011624 0.938796 2.972105 1.001827 3.018464 1.356187 3.153413 16.524200 16.488136 5.901743 -85.340024 -85.309678 -4.965985 -131.399660 -131.421062 3.502430 -164.096784 -164.137073 6.593171 -107.111922 -107.156928 7.365145 -201.940379 -202.148194 34.008177 -203.852623 -203.745211 -17.577654 -213.302308 -213.204063 -16.077512 16.524200 -85.340024 -131.399660 -164.096784 -236.546717 -290.266925 -347.373107 -361.469648 -107.111922 -201.940379 -203.852623 -213.302308 -168.543846 -245.502897 -237.552833 -263.096331 2 6 720508.2936 -0.3846914576 -93.06979208 0.25 1 -0.609262 -0.15 50 -0.97786 -1.5017 2 4 5 6 0.565028 -0.617779 0.314459 0.210145 0.038632 -0.022905 0.942876 14.739811 1.006210 14.749195 1.360947 14.777312 16.524200 16.433105 76.646755 -474.128550 -474.049070 -66.874411 -644.869306 -644.973714 87.847844 -841.337378 -841.444290 89.955012 -524.095892 -524.257146 135.678307 -992.844570 -992.794199 -42.381895 -1030.419156 -1030.876293 384.631745 -1059.736428 -1059.326231 -345.136196 16.524200 -474.128550 -644.869306 -841.337378 -1187.099886 -1440.712646 -1705.626169 -1790.812195 -524.095892 -1030.419156 -992.844570 -1059.736428 -861.131140 -1210.574776 -1231.445959 -1351.507376 5 26 70.38046465 -0.6620492294 8.100984359 0.25 1 -0.5730282337 -0.1 14.59361245 -2.52027551 -2.445638049 2 4 5 6 0.621632 -0.372900 -0.157373 0.118691 0.120092 -0.087124 0.959555 0.864544 0.884186 0.921485 1.140618 1.072104 16.524200 16.529077 0.392933 54.527862 54.520515 -0.591961 55.156410 55.169295 1.038162 86.382635 86.390766 0.655142 47.266265 47.274955 0.700235 95.249191 95.255457 0.504886 95.501276 95.523898 1.822770 102.129057 102.099443 -2.386033 16.524200 54.527862 55.156410 86.382635 113.403461 135.014234 159.296419 166.475173 47.266265 95.249191 95.501276 102.129057 86.574847 115.403416 129.557674 132.185629 5 27 107.5328684 -0.6572289846 9.098606431 0.25 1 -0.5810366985 -0.05 99.68179394 -2.637281502 -2.458729767 2 4 5 6 0.636990 -0.354886 -0.182129 0.110407 0.123542 -0.088871 0.956951 0.913052 0.878938 0.959901 1.132935 1.086880 16.524200 16.525398 0.111061 60.808257 60.820074 1.095835 65.891898 65.888137 -0.348755 96.502358 96.502492 0.012399 52.967478 52.973699 0.576908 106.556180 106.560917 0.439247 107.083077 107.100522 1.617696 112.983063 112.956874 -2.428607 16.524200 60.808257 65.891898 98.075074 127.078174 151.089944 176.559328 186.559282 52.967478 106.556180 107.083077 112.983063 96.502358 127.493940 142.821345 148.440033 5 28 125.8075282 -0.6326670152 12.95312126 0.25 1 -0.5954123583 0 155.8989642 -3.070591947 -2.656504474 2 4 5 6 0.649351 -0.342865 -0.200165 0.075981 0.144258 -0.107349 0.952731 0.927058 0.843415 0.949771 1.072962 1.014364 16.524200 16.524251 0.006882 85.988684 86.001433 1.715673 93.205519 93.205255 -0.035511 132.819345 132.820032 0.092341 74.981700 74.985649 0.531446 149.846353 149.852349 0.806910 150.456580 150.460708 0.555459 158.424529 158.403908 -2.775247 16.524200 85.988684 93.205519 132.819345 179.428147 213.168646 246.434944 263.804903 74.981700 150.456580 149.846353 158.424529 135.045592 177.097181 197.371256 210.031602 5 28 199.9055944 -0.6474229774 15.39095981 0.25 1 -0.6003909412 0.05 134.1134673 -3.195965553 -2.489996784 2 4 5 6 0.665910 -0.314611 -0.258409 0.066355 0.151569 -0.115752 0.950902 0.975740 0.866606 0.992267 1.114813 1.040006 16.524200 16.524829 0.103076 105.211860 105.212583 0.118478 109.541695 109.555268 2.225611 154.554253 154.555420 0.191423 88.976946 88.975841 -0.181343 176.798678 176.791245 -1.218989 178.179326 178.180819 0.244855 189.193513 189.181734 -1.931468 16.524200 105.211860 109.541695 154.554253 213.911476 253.464426 290.356534 314.000621 88.976946 178.179326 176.798678 189.193513 160.665404 208.329435 233.706205 251.165693 2 26 129.7664015 -0.7957421278 8.236521346 0.25 1 -0.5806469472 0.1 33.12749767 -2.694756989 -2.358757116 2 4 5 6 0.697036 -0.258708 -0.380637 0.111433 0.131921 -0.103363 0.958129 0.883169 0.900195 0.933143 1.169489 1.067191 16.524200 16.525952 0.160910 59.066148 59.073682 0.692134 61.794407 61.793618 -0.072443 89.678393 89.683975 0.512707 48.374097 48.370793 -0.303512 96.989190 96.988048 -0.104876 99.585345 99.577823 -0.690978 106.261209 106.257300 -0.359033 16.524200 61.794407 59.066148 89.678393 119.271561 140.325961 160.531300 173.202848 48.374097 96.989190 99.585345 106.261209 91.465991 116.316403 134.979842 140.504259 5 26 143.2694656 -0.8697012809 7.058966929 0.25 1 -0.5696704958 0.15 40.14963879 -2.424548904 -2.156103233 2 4 5 6 0.717764 -0.229784 -0.450250 0.131388 0.120074 -0.096093 0.960023 0.889763 0.929415 0.956899 1.219288 1.131947 16.524200 16.527481 0.265978 51.130925 51.137307 0.517387 55.608014 55.606339 -0.135816 79.034889 79.041797 0.559983 41.676494 41.671544 -0.401261 83.499261 83.497120 -0.173552 86.755061 86.746624 -0.683894 93.270949 93.268009 -0.238311 16.524200 55.608014 51.130925 79.034889 104.085409 121.981266 138.937166 150.413897 41.676494 83.499261 86.755061 93.270949 80.405970 101.023209 119.131200 122.853206