********** 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 186111.8218 -0.25 -3.833205738 0.2025 1 -0.6 -0.002557026828 16.118331 -2.367887516 -2.947348492 3 4 5 6 0.535053 -0.861582 0.882907 0.119736 -0.015088 0.122843 0.878221 0.364451 0.699352 0.467410 0.858581 0.692732 16.524200 16.524376 -0.005769 -12.674508 -12.674208 -0.009847 -18.129892 -18.130226 0.010955 -21.357277 -21.361394 0.135085 -19.598233 -19.600202 0.064610 -30.611796 -30.616009 0.138235 -35.900082 -35.902976 0.094961 -38.858146 -38.845478 -0.415713 16.524200 -12.674508 -18.129892 -21.357277 -41.002467 -50.723416 -53.268514 -58.031158 -19.598233 -30.611796 -35.900082 -38.858146 -26.304557 -39.516572 -25.157008 -47.412401 5 28 110.7178352 -0.5830882091 9.630732469 0.2025 1 -0.5 -0.1497423925 257.6376147 -2.440065254 -2.266028013 3 4 5 6 0.536344 -0.486663 0.111625 0.108548 0.127600 -0.085796 0.919248 0.881037 0.854593 0.928407 1.108934 1.056139 16.524200 16.538353 1.169701 54.202233 54.190710 -0.952406 67.090812 67.101761 0.904931 92.901330 92.902995 0.137630 52.728881 52.746293 1.439061 105.329145 105.316332 -1.059004 105.630715 105.683706 4.379557 113.713728 113.674825 -3.215153 16.524200 54.202233 67.090812 96.678380 123.502773 149.168632 179.495252 185.162883 52.728881 105.630715 105.329145 113.713728 92.901330 129.369470 133.782812 144.484187 5 27 26.63225064 -0.9251833264 4.353437954 0.2025 1 -0.4 -0.2409051304 6.582782365 0.3661416886 -1.222171263 3 4 5 6 0.548422 -0.378976 -0.169163 0.232184 0.024731 -0.028346 0.940822 0.764490 1.038653 0.965022 1.413525 1.401292 16.524200 16.552050 1.063872 27.666934 27.677420 0.400575 31.629498 31.608868 -0.788066 42.753428 42.774278 0.796506 24.660708 24.670446 0.371991 50.770919 50.779271 0.319062 51.237573 51.253040 0.590812 59.783828 59.757027 -1.023795 16.524200 31.629498 27.666934 42.753428 61.293384 72.995229 89.667485 90.207453 24.660708 50.770919 51.237573 59.783828 48.774282 66.753691 73.929948 74.331135 5 29 77.43742101 -1.202698908 2.95061256 0.2025 1 -0.3 -0.3097757476 15.71552733 -0.2522393516 -1.640118562 3 4 5 6 0.561391 -0.347704 -0.286886 0.230718 0.029244 -0.032765 0.954060 0.524490 0.993580 0.789401 1.330357 1.284577 16.524200 16.549480 0.669990 21.722722 21.729399 0.176957 25.607409 25.584748 -0.600582 36.054157 36.065220 0.293201 17.026510 17.033625 0.188560 35.064777 35.069525 0.125853 37.011443 37.024842 0.355129 44.192132 44.152943 -1.038639 16.524200 25.607409 21.722722 36.054157 44.192132 52.153768 63.796628 64.766747 17.026510 35.064777 37.011443 44.553866 36.397826 49.285561 53.566899 57.092926 5 28 113.53913 -1.476004774 2.467908405 0.2025 1 -0.2 -0.3499262497 49.55885991 -0.1008316774 -2.08891416 3 4 5 6 0.580066 -0.347703 -0.317228 0.232860 0.025235 -0.028829 0.963014 0.447584 0.937969 0.744351 1.230260 1.263689 16.524200 16.542506 0.419303 19.654159 19.664995 0.248189 24.353700 24.332474 -0.486181 32.760770 32.809966 1.126833 14.413095 14.418927 0.133578 29.636789 29.640719 0.090034 32.671487 32.682885 0.261069 38.772303 38.758471 -0.316815 16.524200 19.654159 24.353700 32.887473 38.772303 45.434067 55.373366 56.422582 14.413095 29.636789 32.671487 39.789602 32.760770 43.868904 46.877759 50.222873 5 28 67.31096761 -1.522121515 2.991809978 0.2025 1 -0.1 -0.4527635876 6.897759694 0.1280596074 -1.885182731 3 4 5 6 0.558257 -0.359476 -0.353299 0.233898 0.022594 -0.026031 0.961781 0.533800 0.967026 0.799243 1.281058 1.298889 16.524200 16.555060 0.824687 23.840563 23.866311 0.688067 31.482350 31.484835 0.066407 32.464998 32.453261 -0.313650 17.302911 17.311405 0.227000 35.794946 35.800733 0.154646 39.522348 39.539302 0.453057 47.427412 47.408686 -0.500440 16.524200 23.840563 31.482350 32.464998 47.427412 55.429430 67.571803 68.581238 17.302911 35.794946 39.522348 49.705179 40.639028 54.387480 57.558934 61.832465 5 28 85.92445192 -1.662797309 2.787454706 0.2025 1 0 -0.5087698625 8.455665133 0.1385726106 -1.923978378 3 4 5 6 0.553778 -0.373977 -0.349303 0.233894 0.022541 -0.025971 0.960415 0.495191 0.959463 0.774352 1.268942 1.283859 16.524200 16.550275 0.643996 23.098006 23.125780 0.685974 30.740377 30.746803 0.158720 32.320920 32.304282 -0.410911 16.008490 16.016713 0.203081 33.260656 33.266324 0.139995 37.215494 37.232046 0.408818 44.767992 44.749981 -0.444843 16.524200 23.098006 30.740377 32.320920 44.767992 52.132154 63.565335 64.377606 16.008490 33.260656 37.215494 47.431350 38.888936 51.751590 54.451855 58.583936 5 28 96.24204354 -1.74299635 2.688703911 0.2025 1 0.1 -0.5767762193 10.17590226 0.1109064485 -1.985481819 3 4 5 6 0.537131 -0.389480 -0.345521 0.233916 0.022538 -0.025993 0.954400 0.470285 0.942329 0.758981 1.242773 1.274832 16.524200 16.548551 0.562668 22.466065 22.496403 0.701025 30.578334 30.583426 0.117664 32.700209 32.683103 -0.395273 15.196965 15.205478 0.196718 31.820685 31.826548 0.135489 35.605625 35.622808 0.397057 43.132226 43.112853 -0.447655 16.524200 22.466065 30.578334 32.700209 43.132226 50.101138 61.208906 61.762781 15.196965 31.820685 35.605625 46.178767 37.842303 50.197965 52.704524 56.696283 5 28 99.10624641 -1.78996237 2.678828121 0.2025 1 0.2 -0.6408733774 10.86699435 0.02450756495 -2.040120351 3 4 5 6 0.517258 -0.406174 -0.331980 0.233774 0.022926 -0.026406 0.945648 0.459616 0.922506 0.752408 1.213334 1.270640 16.524200 16.548768 0.544684 22.316107 22.349616 0.742897 30.699249 30.708327 0.201265 33.501393 33.480012 -0.474012 14.828852 14.837862 0.199770 31.355768 31.361935 0.136722 34.923507 34.941636 0.401924 42.636201 42.614879 -0.472729 16.524200 22.316107 30.699249 33.501393 42.636201 49.414989 60.551629 60.864426 14.828852 31.355768 34.923507 46.056523 37.715964 49.905849 52.389254 56.294657 5 28 97.05201176 -1.783014525 2.717357168 0.2025 1 0.3 -0.7017629133 10.70931021 0.04542106635 -2.090357965 3 4 5 6 0.494432 -0.424818 -0.307999 0.233852 0.022617 -0.026108 0.934408 0.455782 0.899943 0.750151 1.180405 1.269468 16.524200 16.550242 0.559809 22.358347 22.395318 0.794760 30.866470 30.880513 0.301885 34.538245 34.513191 -0.538585 14.661625 14.671264 0.207199 31.377352 31.383887 0.140485 34.644755 34.663994 0.413578 42.662635 42.639015 -0.507755 16.524200 22.358347 30.866470 34.538245 42.662635 49.346466 60.705909 60.779810 14.661625 31.377352 34.644755 46.469556 38.003152 50.196992 52.767454 56.589495 5 28 92.79763043 -1.727669846 2.786187718 0.2025 1 0.4 -0.7575354194 10.06798332 0.2879845469 -2.134379038 3 4 5 6 0.470035 -0.445838 -0.271954 0.233327 0.022760 -0.026364 0.921137 0.454656 0.875547 0.748483 1.145333 1.266709 16.524200 16.552424 0.591397 22.507251 22.547844 0.850572 31.015015 31.034315 0.404422 35.718211 35.690653 -0.577424 14.592158 14.602474 0.216157 31.674654 31.681584 0.145201 34.578967 34.599314 0.426354 42.967234 42.941247 -0.544543 16.524200 22.507251 31.015015 35.718211 42.967234 49.603730 61.153843 61.308343 14.592158 31.674654 34.578967 47.196110 38.512539 50.807080 53.538823 57.264544 5 26 21547.86413 -0.25 -12.90005839 0.25 1 -0.6 -0.2832285412 5.408493055 -4.265785168 -6.991834716 3 4 5 6 0.481089 -1.112091 1.149693 -0.038712 0.101433 -0.057078 0.934482 -0.251325 0.099233 -0.264356 -0.265279 -0.300928 16.524200 16.461892 6.187015 -48.723609 -48.672271 -5.097681 -53.932528 -54.004903 7.186671 -103.285441 -103.336942 5.113887 -70.707566 -70.751779 4.390205 -120.543067 -120.720336 17.602339 -140.272701 -140.188213 -8.389444 -141.121815 -141.029349 -9.181691 16.524200 -48.723609 -53.932528 -103.285441 -151.572313 -188.918459 -227.885894 -237.575736 -70.707566 -120.543067 -140.272701 -141.121815 -105.877173 -162.094559 -151.262846 -162.983681 2 22 21.7549659 -0.7380321377 4.554094781 0.25 1 -0.5 -0.2687758081 60.27357208 -0.246622416 -1.472358066 3 4 5 6 0.576977 -0.396478 -0.189110 0.232742 0.024602 -0.027298 0.970077 0.821820 1.042290 1.011562 1.406388 1.435180 16.524200 16.548748 1.032056 32.872505 32.857926 -0.612899 33.643203 33.641778 -0.059910 51.290262 51.292219 0.082253 26.816672 26.827272 0.445637 54.234005 54.254550 0.863754 54.298392 54.305669 0.305939 62.729566 62.698904 -1.289098 16.524200 32.872505 33.643203 56.068338 65.432463 77.862874 94.371072 95.573104 26.816672 54.298392 54.234005 62.729566 51.290262 69.764728 78.074033 79.073207 5 29 66.8724909 -1.037667446 3.122504197 0.25 1 -0.4 -0.3252717473 13.32358155 0.09225368198 -1.749085514 3 4 5 6 0.602822 -0.324836 -0.378504 0.235423 0.020388 -0.023838 0.986845 0.581305 1.021679 0.833393 1.362788 1.324285 16.524200 16.550821 0.801735 23.398709 23.405058 0.191217 27.413279 27.390203 -0.694956 37.831722 37.845028 0.400723 18.904077 18.911371 0.219676 38.137027 38.141422 0.132365 40.571491 40.587008 0.467345 48.037542 47.976757 -1.830650 16.524200 27.413279 23.398709 37.831722 48.433132 56.968414 69.366100 69.749436 18.904077 38.137027 40.571491 48.037542 39.521652 52.896072 58.364311 61.708481 5 28 59.40974253 -1.222542137 3.095408038 0.25 1 -0.3 -0.4055101144 7.100819262 0.4715637412 -1.963036691 3 4 5 6 0.606338 -0.316700 -0.450629 0.232626 0.023964 -0.027279 0.995382 0.573352 1.001590 0.823951 1.324194 1.310277 16.524200 16.557266 0.992965 24.073150 24.092144 0.570383 31.073736 31.043006 -0.922819 33.427679 33.448539 0.626414 18.929799 18.937758 0.239024 38.162748 38.167776 0.150988 41.932190 41.949295 0.513668 50.076530 50.036892 -1.190307 16.524200 24.073150 31.073736 33.427679 50.076530 58.541401 71.073970 71.766942 18.929799 38.162748 41.932190 51.002802 41.877071 55.755606 60.265660 64.098079 5 28 73.17838465 -1.357973063 2.977000228 0.25 1 -0.2 -0.4802604441 6.834816078 0.3634490872 -2.070431604 3 4 5 6 0.605145 -0.322926 -0.485585 0.234076 0.021931 -0.025262 0.999352 0.553104 0.991132 0.812201 1.304330 1.307167 16.524200 16.558600 0.991548 24.537957 24.563866 0.746810 32.170303 32.187834 0.505318 33.088455 33.059931 -0.822184 18.245909 18.254156 0.237694 36.829289 36.834691 0.155730 41.349084 41.366992 0.516181 49.487308 49.459104 -0.812982 16.524200 24.537957 32.170303 33.088455 49.487308 57.591832 69.813683 70.480046 18.245909 36.829289 41.349084 51.333036 42.137371 55.832209 59.588872 63.609453 5 28 87.88410155 -1.454836975 2.690335699 0.25 1 -0.1 -0.5539771315 9.178351665 0.1738578669 -2.101723061 3 4 5 6 0.597704 -0.334853 -0.503239 0.235332 0.020379 -0.023743 0.999397 0.498438 0.986626 0.778399 1.296687 1.290400 16.524200 16.553123 0.744142 23.036293 23.063915 0.710656 31.017705 31.026689 0.231143 32.313309 32.291167 -0.569674 16.414565 16.422562 0.205755 33.240216 33.245558 0.137439 37.768947 37.786428 0.449756 45.392694 45.367675 -0.643705 16.524200 23.036293 31.017705 32.313309 45.392694 52.644922 63.802920 64.271500 16.414565 33.240216 37.768947 47.743963 39.182405 51.699568 54.780627 58.583235 5 28 104.7767012 -1.543207979 2.538255945 0.25 1 0 -0.6218992064 11.93598228 0.4865394258 -2.135810888 3 4 5 6 0.587285 -0.348477 -0.508732 0.232690 0.023746 -0.027052 0.996618 0.462462 0.977956 0.752275 1.283369 1.267094 16.524200 16.549094 0.593737 22.229991 22.260112 0.718399 30.647727 30.650559 0.067548 32.319601 32.300241 -0.461754 15.346654 15.354639 0.190445 31.222848 31.228225 0.128226 35.713686 35.731176 0.417161 43.127251 43.102717 -0.585143 16.524200 22.229991 30.647727 32.319601 43.127251 49.869517 60.483282 60.759401 15.346654 31.222848 35.713686 45.850029 37.640234 49.463763 52.212907 55.867166 5 28 111.1580024 -1.604219818 2.507451303 0.25 1 0.1 -0.6930380969 13.23049071 0.6601194211 -2.188522867 3 4 5 6 0.569861 -0.362786 -0.510804 0.229834 0.027551 -0.030763 0.990567 0.446340 0.962143 0.738440 1.259440 1.250555 16.524200 16.548776 0.561858 22.055403 22.088957 0.767131 30.732393 30.739610 0.164983 33.040039 33.015021 -0.571987 14.934052 14.942462 0.192287 30.593183 30.598824 0.128971 34.951141 34.969522 0.420239 42.506928 42.480855 -0.596092 16.524200 22.055403 30.732393 33.040039 42.506928 49.034408 59.578802 59.639744 14.934052 30.593183 34.951141 45.822421 37.419644 49.026124 51.702323 55.279177 5 28 121.2426107 -1.655383952 2.544465276 0.25 1 0.2 -0.7570511874 12.43348227 -1.289395471 -2.235215001 3 4 5 6 0.551370 -0.377486 -0.503146 0.203439 0.066443 -0.067755 0.982604 0.414954 0.944562 0.682326 1.233397 1.141160 16.524200 16.550237 0.584452 22.351085 22.388591 0.841884 30.825680 30.839764 0.316158 34.264474 34.234100 -0.681803 14.880390 14.889357 0.201297 30.733352 30.739314 0.133829 34.986477 35.005968 0.437526 42.850543 42.822342 -0.633025 16.524200 22.351085 30.825680 34.264474 42.850543 49.316311 59.930658 60.066017 14.880390 30.733352 34.986477 46.527978 38.005905 49.656124 52.387327 55.932658 5 28 119.0095115 -1.685859957 2.627674157 0.25 1 0.3 -0.8131773553 10.65141015 1.739998296 -2.280222347 3 4 5 6 0.532518 -0.392222 -0.486443 0.192855 0.070416 -0.068760 0.973113 0.404359 0.925082 0.656220 1.204815 1.090331 16.524200 16.553257 0.650547 22.980187 23.021984 0.935789 30.843440 30.864899 0.480425 35.925344 35.891658 -0.754178 15.048770 15.058365 0.214835 31.374337 31.380642 0.141160 35.540174 35.560873 0.463416 43.823233 43.792650 -0.684688 16.524200 22.980187 30.843440 35.925344 43.823233 50.318872 61.154840 61.459442 15.048770 31.374337 35.540174 47.696320 39.133851 51.002222 53.865617 57.405961 5 28 92.92737099 -1.669628706 2.694568044 0.25 1 0.4 -0.8691358119 9.905247312 -0.006952082833 -2.338489726 3 4 5 6 0.509905 -0.408702 -0.462834 0.235269 0.020481 -0.023928 0.961395 0.460733 0.900494 0.755104 1.168484 1.276456 16.524200 16.555798 0.694641 23.246724 23.292230 1.000396 30.914153 30.940057 0.569459 37.203645 37.168773 -0.766603 15.043913 15.054122 0.224424 31.728880 31.735477 0.145042 35.613099 35.634909 0.479461 44.270801 44.237814 -0.725180 16.524200 23.246724 30.914153 37.203645 44.270801 50.724662 61.712557 62.152595 15.043913 31.728880 35.613099 48.448070 39.765258 51.732260 54.768741 58.213174