********** 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. 2 14 1320052.612 -0.2833405138 -1.450322949 0.2025 1 -0.4764928214 -0.35 -8.57240906 -3.585459144 18.53363442 2 4 5 6 0.412633 -1.055762 1.052716 0.002100 0.125917 -0.066278 0.907097 0.056731 1.945422 0.106676 2.527088 0.123564 16.524200 16.497305 0.257522 -0.232645 -0.247204 0.139402 -6.313062 -6.299374 -0.131061 -10.226676 -10.230074 0.032531 -7.571258 -7.578022 0.064767 -12.651199 -12.663191 0.114819 -16.086780 -16.086331 -0.004293 -16.523191 -16.496877 -0.251958 16.524200 -0.232645 -6.313062 -10.226676 -16.743662 -20.850194 -25.560004 -26.028868 -7.571258 -12.651199 -16.086780 -16.523191 -12.075568 -18.645988 -17.910485 -18.223902 5 26 55.73306761 -0.7679661641 4.503046148 0.2025 1 -0.4106620247 -0.3 2454.111283 -0.2456782739 -1.156815393 2 4 5 6 0.508990 -0.441018 -0.073821 0.230600 0.028574 -0.031356 0.934350 0.759647 1.040353 0.959586 1.419765 1.393787 16.524200 16.560839 1.343624 30.926211 30.896954 -1.072905 32.536298 32.540087 0.138973 48.038545 48.041608 0.112337 25.058359 25.071663 0.487881 50.862719 50.866603 0.142440 51.134368 51.160996 0.976511 60.374717 60.313186 -2.256453 16.524200 30.926211 32.536298 53.391753 61.171029 73.323675 90.207011 90.881339 25.058359 51.134368 50.862719 60.374717 48.038545 67.109800 73.048892 74.341464 5 27 37.38460392 -0.7174142274 5.175339818 0.2025 1 -0.4401198641 -0.25 1820.44574 -0.9429933694 -1.451116148 2 4 5 6 0.518778 -0.450998 -0.019171 0.206933 0.060943 -0.056388 0.930424 0.817181 0.992357 0.977162 1.341023 1.342459 16.524200 16.552329 1.208369 33.250594 33.223558 -1.161422 37.042103 37.051364 0.397838 53.691109 53.693613 0.107597 28.709523 28.722939 0.576328 57.981089 57.982046 0.041113 58.345849 58.375502 1.273838 66.892082 66.858883 -1.426149 16.524200 33.250594 37.042103 59.170053 69.195653 83.132300 101.971576 103.034476 28.709523 58.345849 57.981089 66.892082 53.691109 74.905872 81.360947 82.044423 5 28 44.17145461 -0.653899119 6.53820485 0.2025 1 -0.4715574698 -0.2 183.9048726 -1.784906986 -1.942115949 2 4 5 6 0.527661 -0.466610 0.043850 0.155227 0.103238 -0.076453 0.925323 0.824371 0.925613 0.922124 1.229310 1.162617 16.524200 16.544645 1.128524 39.243597 39.225846 -0.979841 46.141857 46.150015 0.450311 65.570522 65.572570 0.113052 36.069677 36.084155 0.799204 72.452491 72.448468 -0.222014 72.869560 72.906657 2.047733 80.957419 80.926429 -1.710613 16.524200 39.243597 46.141857 70.702271 85.727105 103.263316 125.540346 128.348202 36.069677 72.869560 72.452491 80.957419 65.570522 91.379203 97.564303 100.439745 2 12 35.93993287 -0.6602475339 7.354224819 0.2025 1 -0.4893951991 -0.15 34.7279575 -2.022927982 -1.720922211 2 4 5 6 0.545853 -0.445507 0.025507 0.141214 0.112755 -0.081740 0.923800 0.864991 0.943906 0.943691 1.261823 1.144401 16.524200 16.536132 0.766403 43.971447 43.960778 -0.685296 50.838764 50.848241 0.608655 73.476745 73.477963 0.078251 40.627310 40.640055 0.818573 81.546635 81.550765 0.265253 82.537566 82.564243 1.713446 89.358540 89.329239 -1.881922 16.524200 43.971447 50.838764 77.378133 96.451269 116.031425 140.219261 143.907526 40.627310 82.537566 81.546635 89.358540 73.476745 101.412561 107.437557 113.257919 2 7 74.08461976 -0.6845537774 7.728088662 0.2025 1 -0.495072 -0.1 50 -2.38038 -1.56419 2 4 5 6 0.565915 -0.416996 -0.014737 0.115722 0.132885 -0.097993 0.923108 0.788794 0.966706 0.849732 1.301432 1.007462 16.524200 16.529277 0.355283 47.086329 47.080958 -0.375858 53.656354 53.666428 0.704910 77.575233 77.575811 0.040473 42.804475 42.814120 0.674860 86.435241 86.445403 0.711066 87.274774 87.290508 1.100992 92.846749 92.819719 -1.891459 16.524200 47.086329 53.656354 80.661795 101.932157 122.324567 146.492576 151.791197 42.804475 87.274774 86.435241 92.846749 77.575233 105.786176 112.115909 120.086744 2 7 159.8667665 -0.7266819613 7.741210251 0.2025 1 -0.498786 -0.05 50 -2.75556 -1.4931 2 4 5 6 0.587340 -0.384680 -0.070133 0.085549 0.160167 -0.125168 0.923290 0.646607 0.977600 0.691485 1.319993 0.807782 16.524200 16.525586 0.100818 49.096541 49.091135 -0.393340 53.526679 53.539626 0.941882 78.700774 78.700934 0.011630 43.042645 43.048664 0.437812 87.892366 87.900451 0.588151 87.990947 88.002237 0.821279 92.710458 92.686691 -1.729019 16.524200 49.096541 53.526679 80.761187 103.205347 123.437779 146.601308 153.200282 43.042645 87.892366 87.990947 92.710458 78.700774 105.858245 113.097426 122.017344 5 26 125.9312698 -0.6892810011 10.58447726 0.2025 1 -0.5153447511 0 6042.88317 -2.654723119 -2.357349202 2 4 5 6 0.599126 -0.377451 -0.076899 0.093241 0.146392 -0.108541 0.918394 0.897043 0.840376 0.932393 1.084517 1.030007 16.524200 16.524296 0.009779 66.138011 66.132946 -0.513868 73.503185 73.519559 1.661335 104.383657 104.384281 0.063323 58.489620 58.493346 0.378068 118.887791 118.895134 0.745100 119.019328 119.026004 0.677357 123.339353 123.314367 -2.535201 16.524200 66.138011 73.503185 104.383657 139.549465 166.850564 195.738682 206.303291 58.489620 118.887791 119.019328 123.339353 105.308602 140.635960 148.690104 165.335624 5 28 187.0043204 -0.6952179282 17.09966572 0.2025 1 -0.5222422653 0.05 4.912219258 -3.33378912 -2.169697955 2 4 5 6 0.614932 -0.354928 -0.123634 0.032971 0.196000 -0.161596 0.915806 0.626062 0.865293 0.633884 1.129803 0.656557 16.524200 16.524899 0.117637 86.952209 86.954300 0.351714 108.155443 108.155847 0.067975 142.845098 142.847980 0.484888 94.291331 94.290035 -0.218020 191.008691 191.013020 0.728271 191.239120 191.228514 -1.784401 198.638759 198.620349 -3.097291 16.524200 108.155443 86.952209 142.845098 225.585319 269.093742 312.535174 331.514786 94.291331 191.008691 191.239120 198.638759 169.608038 224.001919 237.723679 268.086557 5 29 386.2305933 -0.8313896954 8.503587753 0.2025 1 -0.5029553977 0.1 26.42844134 -3.660056825 -2.229548901 2 4 5 6 0.642907 -0.307642 -0.231010 0.002995 0.239760 -0.215881 0.921316 0.228517 0.862790 0.231781 1.122281 0.239548 16.524200 16.526257 0.179891 58.195066 58.203762 0.760627 58.932073 58.931150 -0.080721 86.733285 86.735816 0.221416 47.493048 47.489183 -0.338069 96.718047 96.717210 -0.073236 98.634066 98.623869 -0.891952 103.016129 103.011282 -0.423991 16.524200 58.932073 58.195066 86.733285 116.207665 137.729625 159.608265 171.175445 47.493048 96.718047 98.634066 103.016129 88.906741 115.201337 126.816734 138.504066 5 28 174.1819358 -0.8620778089 8.803035701 0.2025 1 -0.5021736732 0.15 29.71962863 -3.273943124 -4.170489603 2 4 5 6 0.658524 -0.283400 -0.292560 0.042585 0.202368 -0.173974 0.919857 0.482227 0.545089 0.501685 0.557201 0.553742 16.524200 16.528535 0.402068 60.349784 60.358826 0.838592 62.654652 62.652534 -0.196522 89.200073 89.206399 0.586737 49.136004 49.128819 -0.666388 99.934564 99.931992 -0.238501 101.613787 101.601012 -1.184953 107.878187 107.873725 -0.413895 16.524200 62.654652 60.349784 89.200073 121.023543 143.038467 164.495911 177.909560 49.136004 99.934564 101.613787 107.878187 92.628168 118.669957 132.148661 144.557797 5 27 19009.47476 -0.25 -14.27954826 0.25 1 -0.5762735139 -0.35 2232.274743 -4.334241898 -7.625417168 2 4 5 6 0.451651 -1.218430 1.276412 -0.047188 0.112712 -0.072403 0.936281 -0.347678 -0.012353 -0.362549 -0.474660 -0.404604 16.524200 16.404858 12.314888 -55.050271 -54.942156 -11.156388 -98.330861 -98.351587 2.138747 -118.162293 -118.175118 1.323372 -77.920602 -77.981335 6.267001 -128.736502 -128.911381 18.045741 -159.315224 -159.253971 -6.320628 -160.179788 -160.037512 -14.681464 16.524200 -55.050271 -98.330861 -118.887877 -167.670040 -209.506807 -252.396392 -265.921849 -77.920602 -128.736502 -159.315224 -160.179788 -118.162293 -183.073024 -178.508581 -179.986597 2 18 21302.03328 -0.25 -13.23689718 0.25 1 -0.5909048863 -0.3 1536.807775 -4.121224307 -7.271225118 2 4 5 6 0.475376 -1.116339 1.143059 -0.024029 0.092720 -0.042073 0.936182 -0.131194 0.060695 -0.139109 -0.338108 -0.161382 16.524200 16.451563 7.313154 -50.596708 -50.531226 -6.592669 -91.077712 -91.094985 1.738968 -109.442213 -109.510611 6.886340 -72.677637 -72.725410 4.809792 -124.008811 -124.193391 18.583605 -145.586950 -145.495191 -9.238298 -146.293962 -146.198360 -9.625289 16.524200 -50.596708 -91.077712 -109.442213 -156.510818 -194.937780 -234.888860 -245.991559 -72.677637 -124.008811 -145.586950 -146.293962 -110.083545 -168.404573 -160.709910 -167.688824 5 27 2230.491095 -0.4575703517 12.65673803 0.25 1 -0.5659133524 -0.25 328.4836512 -2.984110387 -3.586954495 2 4 5 6 0.540417 -0.593149 0.212637 0.079441 0.118722 -0.070078 0.952261 0.850342 0.697270 0.876817 0.813689 0.951206 16.524200 16.573180 5.360340 71.101243 71.057332 -4.805560 91.083480 91.099410 1.743370 124.445728 124.450790 0.553963 72.026401 72.059097 3.578260 138.329892 138.323521 -0.697231 143.102122 143.186293 9.211523 155.405180 155.327480 -8.503327 16.524200 71.101243 91.083480 130.981255 166.570403 201.505238 241.221584 250.722876 72.026401 143.102122 138.329892 155.405180 124.445728 175.157877 189.808713 189.953859 5 27 21.7666919 -0.642678198 6.270883073 0.25 1 -0.5452726352 -0.2 2726.392414 -1.801194062 -2.022246692 2 4 5 6 0.585849 -0.420481 -0.100511 0.167505 0.085606 -0.062874 0.962279 0.876493 0.951105 0.980495 1.255393 1.237499 16.524200 16.539811 0.917633 41.475587 41.449040 -1.560455 45.963805 45.983691 1.168887 67.195748 67.197292 0.090764 36.546730 36.558619 0.698858 72.800520 72.823487 1.350010 73.852597 73.862162 0.562264 81.311117 81.280232 -1.815445 16.524200 41.475587 45.963805 72.381858 87.483583 104.502411 124.943562 129.055459 36.546730 73.852597 72.800520 81.311117 67.195748 91.331518 101.633781 102.923851 5 28 40.17585357 -0.6289150167 7.468178222 0.25 1 -0.5629512517 -0.15 115.1987532 -2.266900338 -2.322188889 2 4 5 6 0.600672 -0.408245 -0.102222 0.136708 0.104705 -0.072710 0.959533 0.883419 0.902847 0.955104 1.173221 1.140831 16.524200 16.533530 0.669663 48.788826 48.770712 -1.300133 54.016485 54.034563 1.297524 79.047235 79.048231 0.071480 43.438424 43.449619 0.803510 86.671833 86.695984 1.733442 87.644137 87.653054 0.640010 94.547746 94.515898 -2.285919 16.524200 48.788826 54.016485 83.321932 103.628359 123.742165 147.144767 152.561992 43.438424 87.644137 86.671833 94.547746 79.047235 106.685339 119.282374 120.389015 2 21 73.96341681 -0.6552529993 7.894215985 0.25 1 -0.5703797979 -0.1 47.19222633 -2.395636595 -2.336902835 2 4 5 6 0.620730 -0.375801 -0.151273 0.129245 0.111342 -0.079159 0.959119 0.902463 0.900107 0.965889 1.168692 1.132819 16.524200 16.528366 0.326604 49.272099 49.307554 2.779766 59.985256 59.954511 -2.410463 84.103578 84.104010 0.033910 46.021163 46.029664 0.666474 92.735835 92.742059 0.487985 92.825335 92.847270 1.719800 99.266954 99.238053 -2.265967 16.524200 49.272099 59.985256 87.070781 110.288607 131.347369 154.932109 161.986902 46.021163 92.735835 92.825335 99.266954 84.103578 112.182666 125.753999 128.523115 5 28 53.92311192 -0.676860662 11.14776459 0.25 1 -0.5769982675 -0.05 4.227606773 -3.014748725 -2.162938309 2 4 5 6 0.639507 -0.347525 -0.197730 0.079773 0.150939 -0.117479 0.958239 0.848920 0.925175 0.876844 1.212852 0.954823 16.524200 16.529738 0.631687 56.448437 56.463097 1.672195 75.452725 75.451273 -0.165645 96.913712 96.925089 1.297729 65.057485 65.065028 0.860379 130.903513 130.909005 0.626520 132.236632 132.258722 2.519636 139.418417 139.386037 -3.693451 16.524200 75.452725 56.448437 96.913712 156.596484 186.026353 217.561001 229.553867 65.057485 130.903513 132.236632 139.418417 119.308562 157.346268 177.038480 183.013466 2 8 400.0740305 -0.7975613791 6.228370843 0.25 1 -0.560753 0 50 -3.60373 -1.36853 2 4 5 6 0.669708 -0.296293 -0.300310 0.031103 0.208984 -0.186571 0.963633 0.330911 1.048063 0.352694 1.419625 0.404927 16.524200 16.524311 0.007420 45.414913 45.422147 0.482773 45.959529 45.958299 -0.082118 69.910684 69.910685 0.000043 36.809560 36.811311 0.116842 73.955112 73.956322 0.080747 77.250941 77.257535 0.440091 80.463870 80.451254 -0.841977 16.524200 45.959529 45.414913 71.824669 90.424909 106.744939 124.368006 131.398123 36.809560 73.955112 77.250941 80.463870 69.910684 90.556641 104.319258 106.139443 5 28 298.6341609 -0.7553377187 8.541302949 0.25 1 -0.5779572002 0.05 21.52604693 -3.597968585 -2.351186037 2 4 5 6 0.678858 -0.286157 -0.318833 0.030369 0.200939 -0.176216 0.958292 0.389620 0.896876 0.404149 1.163583 0.442697 16.524200 16.524659 0.042548 60.311565 60.319928 0.775798 61.998009 61.997557 -0.041988 92.025555 92.027284 0.160378 50.082534 50.081967 -0.052630 100.516431 100.516731 0.027905 102.993294 102.990154 -0.291286 108.653188 108.646136 -0.654230 16.524200 61.998009 60.311565 92.025555 122.468633 144.540321 166.502849 178.388122 50.082534 100.516431 102.993294 108.653188 93.702024 120.550487 138.323086 143.944375 5 28 220.8741723 -0.9696548901 4.736110893 0.25 1 -0.5364246246 0.1 478.0847465 -3.262738944 -4.043612008 2 4 5 6 0.716839 -0.244144 -0.413755 0.065113 0.191162 -0.171913 0.969381 0.409386 0.646170 0.462465 0.712932 0.581669 16.524200 16.525383 0.064281 35.505795 35.510157 0.236977 38.852189 38.851448 -0.040287 56.382016 56.382110 0.005070 28.394015 28.392285 -0.093969 56.857432 56.856557 -0.047553 61.719659 61.715136 -0.245655 64.112376 64.110133 -0.121855 16.524200 38.852189 35.505795 58.349350 71.725516 83.972672 97.037324 103.095604 28.394015 56.857432 61.719659 64.112376 56.382016 71.254668 84.460611 84.650336 5 28 123.947963 -0.8821712108 6.695225931 0.25 1 -0.5622141312 0.15 61.61582502 -2.251876258 -2.857650485 2 4 5 6 0.719152 -0.228968 -0.451979 0.142646 0.111779 -0.089883 0.960857 0.905857 0.825658 0.982235 1.037100 1.179088 16.524200 16.527311 0.239644 48.910704 48.916794 0.469161 53.079287 53.077633 -0.127403 75.887591 75.891487 0.300094 39.589877 39.585212 -0.359349 79.316446 79.314387 -0.158636 82.742543 82.734499 -0.619670 88.770332 88.767545 -0.214721 16.524200 53.079287 48.910704 75.887591 99.042790 116.033456 132.266101 143.021713 39.589877 79.316446 82.742543 88.770332 76.651575 96.269134 113.698560 116.903346