********** 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 28 195.8741992 -0.8318920673 5.549970821 0.09 1 -0.1646340068 -0.35 350.0343487 1.061950459 -1.162019447 2 4 5 6 0.332878 -0.529453 0.172447 0.194877 0.080697 -0.077811 0.825217 0.680411 0.897978 0.853219 1.229367 1.224668 16.524200 16.604050 2.360313 34.878722 34.896331 0.520498 35.399520 35.336803 -1.853882 49.521981 49.532314 0.305445 25.334675 25.363197 0.843081 48.321611 48.361776 1.187248 58.129788 58.142099 0.363892 62.958337 62.947736 -0.313365 16.524200 35.399520 34.878722 53.733644 62.958337 77.183658 97.220243 97.994725 25.334675 48.321611 58.129788 67.197252 49.521981 74.204730 78.427573 78.465976 5 28 29.24473859 -1.047186325 4.403795834 0.09 1 -0.1633980148 -0.3 400.3323828 0.07605003042 -1.025466363 2 4 5 6 0.369519 -0.463135 0.067218 0.227694 0.032551 -0.036277 0.833192 0.628533 0.929879 0.856649 1.279758 1.317529 16.524200 16.575389 1.332786 28.184620 28.195453 0.282049 28.879797 28.838229 -1.082297 41.497078 41.502467 0.140336 20.640974 20.658907 0.466916 41.037582 41.064571 0.702708 46.728471 46.736755 0.215673 51.937021 51.931703 -0.138468 16.524200 28.879797 28.184620 46.622211 51.937021 63.273751 79.400268 80.912046 20.640974 41.037582 46.728471 54.641329 41.497078 60.918197 64.460841 64.790202 5 27 19.99020407 -1.036702759 4.492185206 0.09 1 -0.1998918519 -0.25 1962.655141 -0.1103280359 -0.9987849613 2 4 5 6 0.384143 -0.461683 0.100070 0.225169 0.039298 -0.043263 0.833029 0.650681 0.933927 0.870299 1.286713 1.320365 16.524200 16.565736 1.146824 27.427803 27.392758 -0.967616 28.771592 28.781155 0.264056 41.679334 41.683313 0.109846 21.218524 21.234546 0.442386 42.026425 42.050373 0.661219 47.746320 47.752435 0.168828 52.657059 52.655095 -0.054240 16.524200 27.427803 28.771592 47.160553 52.657059 64.239373 79.997953 80.815134 21.218524 42.026425 47.746320 54.466633 41.679334 61.170399 62.857998 67.773777 5 28 13.382742 -0.921156899 5.223215611 0.09 1 -0.2467224684 -0.2 1149.379991 -0.6922170151 -1.086375656 2 4 5 6 0.390875 -0.484528 0.187373 0.200270 0.087816 -0.088718 0.828141 0.714643 0.913790 0.889886 1.254865 1.268960 16.524200 16.557903 1.100958 28.220984 28.192490 -0.930798 33.109750 33.119066 0.304312 46.231580 46.234822 0.105892 24.636112 24.652685 0.541395 47.745583 47.769696 0.787644 55.242722 55.245799 0.100529 59.603600 59.604318 0.023443 16.524200 28.220984 33.109750 51.669505 59.603600 73.047010 87.296835 91.893081 24.636112 47.745583 55.242722 60.298133 46.231580 67.497636 67.432814 79.747361 2 26 11.12250316 -0.797802699 6.70496231 0.09 1 -0.2865557795 -0.15 86.07868147 -1.349621388 -1.455285002 2 4 5 6 0.398789 -0.513693 0.285264 0.153425 0.138899 -0.116323 0.821730 0.761054 0.845384 0.869654 1.140031 1.126380 16.524200 16.547425 0.993607 32.114905 32.095568 -0.827277 41.659848 41.670920 0.473702 56.379158 56.381678 0.107791 31.493997 31.512012 0.770720 59.732404 59.758641 1.122449 70.245567 70.241096 -0.191295 73.272843 73.251868 -0.897360 16.524200 32.114905 41.659848 60.592027 74.280509 91.457503 104.361930 115.351589 31.493997 59.732404 70.245567 73.272843 56.379158 78.745148 82.769000 99.749100 5 28 14.01795775 -0.8458491567 7.878591992 0.09 1 -0.2976602321 -0.1 4.260796122 -1.553900326 -1.405643855 2 4 5 6 0.421854 -0.491458 0.259906 0.137314 0.153449 -0.125035 0.821801 0.831675 0.853766 0.913529 1.154661 1.118374 16.524200 16.540265 0.854321 36.671969 36.689608 0.937977 38.183436 38.173235 -0.542489 61.812144 61.831749 1.042555 37.315654 37.330813 0.806132 72.028458 72.052932 1.301490 82.501499 82.492142 -0.497606 85.180924 85.157419 -1.249983 16.524200 38.183436 36.671969 61.812144 88.048364 108.133063 122.378521 136.808505 37.315654 72.028458 82.501499 85.180924 66.868298 91.497753 98.982439 116.185912 2 8 86.14123258 -0.7989032884 8.732167911 0.09 1 -0.317533 -0.05 50 -1.71976 -1.39799 2 4 5 6 0.437306 -0.493592 0.283398 0.123335 0.160316 -0.124182 0.817330 0.851010 0.849627 0.916660 1.150087 1.086139 16.524200 16.527238 0.185626 41.004099 41.002864 -0.075488 53.421227 53.433947 0.777135 72.466523 72.466948 0.026002 41.319526 41.330525 0.672038 79.732462 79.753993 1.315500 89.915120 89.891679 -1.432213 91.823575 91.805835 -1.083882 16.524200 41.004099 53.421227 72.726174 96.484230 118.517542 131.040137 149.058573 41.319526 79.732462 89.915120 91.823575 72.466523 96.072053 109.766037 124.848353 5 28 128.5835457 -0.8043580549 10.4091602 0.09 1 -0.3272886546 0 62.10515044 -2.054714332 -1.810526238 2 4 5 6 0.456114 -0.480443 0.262988 0.093483 0.181806 -0.137482 0.814662 0.819432 0.777126 0.860882 1.024752 0.972323 16.524200 16.524474 0.020779 49.792249 49.793018 0.058423 63.437438 63.452508 1.144851 82.892016 82.892938 0.070003 49.335541 49.341424 0.446937 96.372642 96.391897 1.462713 105.161766 105.124602 -2.823177 108.607531 108.593987 -1.028870 16.524200 49.792249 63.437438 82.892016 115.097804 141.061063 154.806199 176.341626 49.335541 96.372642 105.161766 108.607531 86.116602 112.160687 131.548885 146.764394 2 23 15929.76771 -0.598871862 -18.5560841 0.09 1 -0.3599316909 0.05 -0.2164005685 -5.657148927 -7.677147057 2 4 5 6 0.459560 -0.519532 0.352790 -0.349492 0.512126 -0.496966 0.800488 -3.923759 -0.370300 -4.008982 -1.107200 -4.255524 16.524200 16.535769 -1.578525 -20.464906 -20.453008 -1.623352 -79.931583 -79.931840 0.035075 -119.177993 -119.194622 2.268958 -86.211772 -86.209671 -0.286561 -160.416196 -160.430236 1.915661 -170.424193 -170.358911 -8.907248 -190.440990 -190.418760 -3.033144 16.524200 -20.464906 -79.931583 -119.177993 -194.848116 -239.433888 -246.243618 -302.493205 -86.211772 -160.416196 -170.424193 -190.440990 -140.117276 -171.239844 -219.213621 -248.332469 2 13 26866.35127 -0.4604488142 -11.61906771 0.09 1 -0.383245754 0.1 5.367881865 -2.984980682 -3.809145763 2 4 5 6 0.467179 -0.547806 0.399823 -0.001327 0.197542 -0.131355 0.787789 0.170464 0.386924 0.170718 0.340766 0.171093 16.524200 16.522308 0.164293 -45.926955 -45.923902 -0.265192 -49.611267 -49.616664 0.468676 -62.317135 -62.327923 0.936977 -52.999345 -52.989155 -0.885011 -91.497887 -91.486339 -1.002946 -100.994309 -100.978606 -1.363816 -116.982477 -117.022430 3.469975 16.524200 -45.926955 -49.611267 -62.317135 -116.982477 -143.299491 -139.752843 -181.559028 -52.999345 -91.497887 -100.994309 -117.231424 -80.745796 -93.158980 -126.989846 -149.392181 2 8 194211.5421 -0.2570801776 -4.01692299 0.09 1 -0.406182 0.15 50 -2.95176 -1.7269 2 4 5 6 0.469967 -0.651740 0.571891 0.009659 0.084720 0.011101 0.767747 0.115351 0.737356 0.123631 0.983443 0.141802 16.524200 16.525156 -0.028869 -9.444050 -9.444000 -0.001510 -12.578696 -12.586955 0.249472 -18.219325 -18.214478 -0.146376 -17.757017 -17.749939 -0.213790 -25.665166 -25.661787 -0.102075 -32.023678 -32.020706 -0.089779 -37.105110 -37.114678 0.289000 16.524200 -12.578696 -9.444050 -18.219325 -37.105110 -44.676782 -38.166266 -55.246943 -17.757017 -25.665166 -32.023678 -38.652049 -22.918941 -22.622207 -34.522278 -46.125339 5 28 250.4055322 -0.7459099514 5.569967307 0.1225 1 -0.2469966949 -0.35 374.3591314 -0.878144637 -1.244388584 2 4 5 6 0.375602 -0.539405 0.163002 0.202717 0.077309 -0.075229 0.859301 0.747273 0.949824 0.917263 1.302300 1.292167 16.524200 16.599493 2.520325 35.494405 35.435403 -1.975019 36.518109 36.529251 0.372970 51.732793 51.741373 0.287199 27.092737 27.118690 0.868727 51.444564 51.483401 1.300004 60.245531 60.255480 0.333017 66.249714 66.226935 -0.762469 16.524200 35.494405 36.518109 56.545910 66.249714 80.822983 101.101487 102.553949 27.092737 51.444564 60.245531 69.208829 51.732793 76.538896 80.565136 81.272089 5 27 33.99544929 -0.9899932195 4.141292398 0.1225 1 -0.232688584 -0.3 1212.816527 0.781212405 -0.8212466505 2 4 5 6 0.418621 -0.447266 0.005262 0.215614 0.051056 -0.054014 0.868799 0.608625 1.007351 0.826460 1.394537 1.264646 16.524200 16.568586 1.231177 27.797071 27.804774 0.213646 28.096196 28.059598 -1.015167 41.308081 41.312132 0.112364 20.713411 20.728274 0.412278 41.517404 41.542410 0.693598 45.435977 45.441554 0.154682 51.772096 51.758995 -0.363389 16.524200 28.096196 27.797071 46.505915 51.772096 62.616142 78.017878 79.622971 20.713411 41.517404 45.435977 53.407848 41.308081 59.497894 63.689310 63.837397 5 29 20.26491933 -0.9326134347 4.487498713 0.1225 1 -0.2730340158 -0.25 1240.775591 0.07271680645 -1.074114545 2 4 5 6 0.428567 -0.456622 0.062292 0.230043 0.028652 -0.032270 0.866021 0.693474 0.964961 0.907677 1.324361 1.357143 16.524200 16.560728 1.124001 27.931357 27.900618 -0.945865 29.942873 29.950171 0.224572 43.482024 43.485248 0.099228 22.471062 22.485396 0.441086 44.564888 44.588956 0.740603 49.122557 49.126532 0.122323 55.220722 55.201630 -0.587468 16.524200 27.931357 29.942873 48.986118 55.220722 66.971425 83.552234 84.015789 22.471062 44.564888 49.122557 55.898707 43.482024 62.717690 65.583115 67.044277 5 27 14.8144333 -0.822288876 5.417842909 0.1225 1 -0.3160995738 -0.2 909.5338314 -0.9321705316 -1.281588092 2 4 5 6 0.434588 -0.482198 0.153468 0.193668 0.089782 -0.084831 0.860193 0.757740 0.925319 0.914648 1.259726 1.265996 16.524200 16.552407 1.062634 30.155754 30.131739 -0.904675 35.702888 35.711209 0.313483 50.078712 50.081392 0.100979 27.002546 27.017811 0.575087 52.488823 52.514306 0.959988 58.904168 58.905737 0.059112 64.100054 64.073360 -1.005644 16.524200 30.155754 35.702888 55.518162 64.845724 78.998518 95.763412 98.313491 27.002546 52.488823 58.904168 64.100054 50.078712 72.371177 72.584273 78.468729 2 7 19.48096544 -0.7950575403 6.166832709 0.1225 1 -0.340104 -0.15 50 -1.35005 -1.35924 2 4 5 6 0.450036 -0.481470 0.181739 0.166663 0.117234 -0.099653 0.857323 0.782633 0.909536 0.902221 1.234167 1.183456 16.524200 16.541203 0.755010 32.715747 32.702028 -0.609187 39.917138 39.925664 0.378611 55.992597 55.994341 0.077414 30.771584 30.785515 0.618580 59.847460 59.872665 1.119202 66.772734 66.770334 -0.106561 70.727801 70.707317 -0.909560 16.524200 32.715747 39.917138 60.630535 73.170765 89.206072 105.477058 111.291610 30.771584 59.847460 66.772734 70.727801 55.992597 79.918427 79.239116 90.547604 5 28 28.13177892 -0.7859904627 7.851847232 0.1225 1 -0.3575056012 -0.1 5.678619348 -1.816798904 -1.765606031 2 4 5 6 0.467548 -0.473011 0.186859 0.129980 0.147003 -0.115170 0.854885 0.823400 0.841163 0.897352 1.116635 1.084909 16.524200 16.535744 0.678052 40.928864 40.943411 0.854445 41.454891 41.448034 -0.402730 66.135600 66.152805 1.010588 39.244708 39.257761 0.766725 76.895744 76.923980 1.658519 84.545715 84.536491 -0.541760 87.817017 87.794588 -1.317411 16.524200 41.454891 40.928864 66.135600 92.826574 113.100622 131.017114 141.334709 39.244708 76.895744 84.545715 87.817017 70.586443 98.905199 98.501427 118.367073 5 28 37.01794732 -0.9485364531 8.58177982 0.1225 1 -0.3455032908 -0.05 2.244805211 -1.928389555 -1.829003627 2 4 5 6 0.499368 -0.426734 0.095116 0.122336 0.161389 -0.133446 0.860371 0.881279 0.837739 0.943508 1.107641 1.105952 16.524200 16.536218 0.824043 35.854587 35.863024 0.578492 49.215221 49.213348 -0.128408 66.419667 66.431563 0.815654 43.558195 43.566617 0.577469 89.649305 89.678622 2.010138 92.778675 92.763778 -1.021427 98.460854 98.437056 -1.631822 16.524200 35.854587 49.215221 66.419667 105.200743 127.284132 150.592647 158.027710 43.558195 89.649305 92.778675 98.460854 81.313173 112.928638 113.433791 136.249586 5 28 128.6698981 -0.8230100292 8.408785385 0.1225 1 -0.3750560212 0 257.3116851 -2.05105049 -1.974992639 2 4 5 6 0.506069 -0.438362 0.134914 0.111864 0.160041 -0.123863 0.851646 0.808493 0.802895 0.866183 1.051472 1.016285 16.524200 16.524392 0.013094 45.618028 45.618516 0.033181 54.284709 54.295558 0.738698 75.858570 75.858560 -0.000735 42.222979 42.226922 0.268455 85.683138 85.706062 1.560834 89.016844 88.995474 -1.455005 91.441014 91.423408 -1.198769 16.524200 45.618028 54.284709 75.927606 100.149482 121.456193 139.057894 148.706970 42.222979 85.683138 89.016844 91.441014 75.858570 103.509426 104.017143 131.891179 5 27 4300.243371 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