********** 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 13 23754403.25 -0.25 -0.5416140298 0.0225 1 -0.6 -0.03441358872 -14.01300973 -1.581518716 -1.279486542 3 4 5 6 0.214946 -27.338841 23.464671 0.107112 -2.631019 1.146481 -2.069700 1.961632 -1.954930 -1.905595 -1.810028 -1.865775 26.294028 26.292839 0.002214 23.880564 23.880541 0.000044 20.583202 18.644556 3.611083 18.644549 17.882766 1.418959 21.309521 21.309911 -0.000727 18.766205 18.766733 -0.000983 18.439957 18.439157 0.001489 16.523509 16.523690 -0.000336 16.524200 26.294028 23.880564 18.644549 16.095209 18.439957 16.124455 14.489032 21.309521 18.766205 16.523509 14.537030 17.882843 20.583202 17.357627 14.502476 5 28 11534258.87 -0.25 -0.4866259431 0.0225 1 -0.5 -0.037195166 1.577904253 -1.470688041 -1.24390765 3 4 5 6 0.202783 -16.493355 14.923191 0.121292 -1.434044 1.495546 -0.504866 5.417322 -0.359145 -0.533718 -0.080769 -0.528181 16.524200 16.524259 -0.000092 13.597430 13.597540 -0.000174 12.347688 10.510837 2.900148 10.510829 10.197159 0.495243 10.780935 10.781299 -0.000575 10.353966 8.744492 2.541149 8.742640 7.955302 1.243104 7.956374 7.954754 0.002558 16.524200 13.597430 10.510829 7.965377 7.956374 10.353966 6.957457 5.228067 10.780935 8.742640 7.955519 5.588121 9.743872 12.347688 7.009504 6.154984 5 28 3704559.742 -0.25 -0.8586285228 0.0225 1 -0.4 -0.05172666732 0.9133190561 -1.349851111 -1.231065768 3 4 5 6 0.191399 -7.860507 7.774097 0.109464 -0.498764 0.886897 0.393727 1.903367 0.421578 0.128788 0.656523 0.226979 16.524200 16.524464 -0.000694 11.590726 10.137398 3.821454 10.133494 9.656380 1.254549 9.658139 6.403800 8.557126 6.343799 6.342542 0.003305 6.089619 4.208053 4.947484 4.191834 3.978112 0.561971 3.982247 3.794163 0.494557 16.524200 9.658139 10.133494 4.497805 3.982247 6.089619 3.325548 -1.072233 6.343799 4.191834 2.140641 1.676281 7.750859 11.590726 4.034505 -0.936062 5 28 570104.9787 -0.25 -2.199956218 0.0225 1 -0.3 -0.06069021902 7.560081897 -1.221693953 -1.239237779 3 4 5 6 0.218062 -2.402239 3.463951 0.110473 0.002348 0.190650 0.631276 0.301420 0.637608 0.371477 0.878167 0.603603 16.524200 16.524128 0.000556 8.919176 8.919054 0.000941 5.041258 5.041071 0.001433 2.519662 -2.216881 36.355973 -4.493151 -4.489970 -0.024415 -5.364909 -6.184869 6.293719 -6.164676 -7.386813 9.380674 -7.411078 -9.401934 15.281082 16.524200 5.041258 8.919176 -6.842628 -9.397649 -5.364909 -16.310417 -16.773246 -6.164676 -4.493151 -7.411078 -12.575442 -0.780438 2.519662 -7.075791 -11.988894 5 26 944183.2755 -0.4947264965 30.10403542 0.0225 1 -0.2 -0.09404698391 3332.019908 -1.95276879 -1.50420985 3 4 5 6 0.269503 -0.672533 0.750624 0.033751 0.224492 -0.136328 0.706809 0.743228 0.672617 0.750044 0.894886 0.769981 16.524200 16.592108 8.815077 78.537747 78.480397 -7.444617 142.451241 154.200545 1525.176660 154.129188 156.414684 296.680067 115.239436 115.354027 14.875087 190.006062 190.109663 13.448448 251.987330 252.124183 17.764889 252.746046 252.433394 -40.585341 16.524200 78.537747 142.451241 154.129188 251.987330 320.855109 354.215399 416.499068 115.239436 190.006062 252.746046 281.156318 174.897192 222.721345 295.159638 298.792217 5 28 9.803800087 -1.378962756 5.769625578 0.0225 1 -0.1 -0.1374650116 3.840069026 -0.6908374617 -0.9158362355 3 4 5 6 0.296401 -0.462087 0.243712 0.172608 0.154305 -0.157689 0.732804 0.646290 0.814507 0.807972 1.129081 1.146816 16.524200 16.563634 1.079003 24.826164 24.841200 0.411433 26.766920 26.739306 -0.755567 43.492334 43.530539 1.045361 22.957195 22.976180 0.519465 44.886804 44.910653 0.652554 55.486668 55.481131 -0.151498 56.568498 56.587741 0.526538 16.524200 26.766920 24.826164 43.492334 56.568498 70.632659 87.787430 90.564016 22.957195 44.886804 55.486668 59.625284 44.191811 65.417422 68.727050 72.634275 5 28 27.16521891 -2.072325474 4.649920371 0.0225 1 0 -0.165458343 3.522405817 -0.7277358416 -1.135104535 3 4 5 6 0.309317 -0.445787 0.180281 0.174801 0.147335 -0.151735 0.739347 0.540718 0.783097 0.733901 1.072717 1.104374 16.524200 16.559082 0.802730 21.524960 21.539923 0.344334 26.965201 26.940928 -0.558584 36.265002 36.291409 0.607686 18.497012 18.510811 0.317552 39.124986 39.145117 0.463273 45.090488 45.096519 0.138800 48.520932 48.529040 0.186592 16.524200 21.524960 26.965201 36.265002 48.520932 60.036392 75.735931 79.708251 18.497012 39.124986 45.090488 51.923364 39.935791 59.651235 61.773310 63.486178 5 28 56.40087264 -2.41444683 3.957489271 0.0225 1 0.1 -0.190566477 5.069882185 -0.6293168384 -1.088005298 3 4 5 6 0.306311 -0.464429 0.216821 0.186116 0.123365 -0.128958 0.733573 0.472136 0.785405 0.703171 1.080720 1.115693 16.524200 16.552260 0.544234 19.903276 19.915954 0.245903 25.578291 25.558046 -0.392665 34.045220 34.070313 0.486684 15.365613 15.376807 0.217123 33.964221 33.981716 0.339316 38.221933 38.227201 0.102168 42.026162 42.032486 0.122660 16.524200 19.903276 25.578291 34.045220 42.026162 51.803148 65.952546 68.689477 15.365613 33.964221 38.221933 45.480463 35.664045 52.459541 54.053371 59.408657 5 28 54.99684063 -1.993088619 4.063255887 0.0225 1 0.2 -0.2209433802 4.587346919 -0.5169541154 -1.039281334 3 4 5 6 0.289277 -0.498096 0.297912 0.195912 0.100693 -0.105421 0.718588 0.480600 0.776683 0.719478 1.074518 1.150414 16.524200 16.551577 0.514860 20.490828 20.508506 0.332452 27.663948 27.643808 -0.378775 34.114462 34.141177 0.502403 15.093674 15.105289 0.218436 34.277755 34.296362 0.349941 38.727512 38.733045 0.104059 42.692536 42.698513 0.112400 16.524200 20.490828 27.663948 34.114462 42.692536 52.564585 67.284612 70.140397 15.093674 34.277755 38.727512 46.786161 36.961872 54.116391 55.512962 61.977286 5 28 78.0546061 -1.627717723 3.740342973 0.0225 1 0.3 -0.2502634828 7.500879041 -0.3912087698 -0.995026099 3 4 5 6 0.264935 -0.546778 0.421015 0.204263 0.080543 -0.083898 0.697225 0.430217 0.759524 0.698484 1.057448 1.159293 16.524200 16.548449 0.384474 18.697166 18.712307 0.240058 25.971443 25.953357 -0.286756 33.608489 33.611439 0.046766 13.090099 13.100982 0.172557 30.388668 30.406168 0.277466 34.967041 34.972197 0.081755 38.242807 38.247762 0.078559 16.524200 18.697166 25.971443 34.945832 38.242807 47.102119 60.851176 63.294370 13.090099 30.388668 34.967041 42.472006 33.608489 49.222622 50.485512 56.352691 5 28 83.55621262 -1.366936963 3.768151465 0.0225 1 0.4 -0.2803182981 9.325875098 -0.3016203797 -0.9498993896 3 4 5 6 0.235001 -0.614632 0.591549 0.209147 0.067605 -0.069475 0.670496 0.411616 0.736336 0.692737 1.033342 1.167889 16.524200 16.548154 0.339384 18.030223 18.046596 0.231977 26.137180 26.119168 -0.255203 32.897061 32.900174 0.044109 12.228208 12.239468 0.159540 28.979653 28.997592 0.254175 34.371796 34.377106 0.075235 36.991249 36.995717 0.063308 16.524200 18.030223 26.137180 35.962503 36.991249 45.640901 59.710062 61.910738 12.228208 28.979653 34.371796 41.690081 32.897061 48.370756 49.821155 55.438705 5 28 15999660.9 -0.25 -0.4131812715 0.04 1 -0.6 -0.02623739138 5.163188799 -1.554686159 -1.219873991 3 4 5 6 0.241730 -19.117057 16.490232 0.139143 -1.797810 1.689543 -0.812164 6.547389 -0.670668 -0.775208 -0.407651 -0.763889 16.524200 16.524220 -0.000033 13.774364 13.774369 -0.000008 11.856236 12.402877 -0.873563 10.916108 10.385805 0.847453 11.227160 11.227477 -0.000507 10.295542 9.261071 1.653142 9.259663 8.313339 1.512276 8.314707 8.305445 0.014801 16.524200 13.774364 10.916108 10.385800 7.962641 10.295542 7.414562 7.144649 11.227160 9.259663 8.314707 6.423198 9.603627 11.856236 8.399648 7.293420 5 28 6542829.808 -0.25 -0.6460723266 0.04 1 -0.5 -0.04381444748 5.925610169 -1.431352861 -1.226843585 3 4 5 6 0.220985 -10.494199 9.631354 0.130543 -0.820561 1.266146 0.222142 3.387985 0.296976 0.010959 0.577627 0.086122 16.524200 16.524264 -0.000146 11.271005 11.271974 -0.002215 11.197453 10.741804 1.040865 10.742729 8.538518 5.035198 8.003021 8.003370 -0.000797 7.195603 5.885170 2.993492 5.878438 5.096153 1.787017 5.279582 4.218453 2.423995 16.524200 10.742729 11.271005 6.033952 5.096752 7.195603 5.279582 2.089231 8.003021 5.878438 3.653130 2.473498 8.130962 11.197453 4.654890 2.849961 5 28 1695337.519 -0.25 -1.27003622 0.04 1 -0.4 -0.06293681143 2.322302552 -1.278538332 -1.272556567 3 4 5 6 0.222360 -4.320037 5.127857 0.123773 -0.172698 0.455385 0.588168 0.661814 0.602165 0.322632 0.851035 0.541022 16.524200 16.524552 -0.001589 9.679944 7.346697 10.542759 7.347048 7.342292 0.021490 7.339154 3.087799 19.209712 1.022640 0.336282 3.101302 0.324582 -0.386536 3.213178 -0.390988 -0.508285 0.530004 -0.492975 -1.734673 5.610600 16.524200 7.347048 7.339154 1.898927 -1.733164 1.022640 -1.346580 -9.312543 -0.492975 -0.390988 0.324582 -3.090816 4.024231 9.679944 -0.447811 -6.922243 5 27 121377.2592 -0.25 -4.767856149 0.04 1 -0.3 0.04968643868 499.9594513 -2.924763191 -4.363581163 3 4 5 6 0.356422 -0.832652 1.072352 -0.051886 0.166993 -0.071262 0.708817 -0.005735 0.129323 -0.048386 -0.098760 -0.143920 16.524200 16.524506 -0.008329 -9.704324 -9.705258 0.025402 -11.906148 -12.576341 18.222456 -12.577436 -13.207885 17.141839 -19.107336 -19.106554 -0.021280 -27.941004 -27.945465 0.121296 -31.579038 -31.557054 -0.597738 -37.479118 -37.540181 1.660284 16.524200 -9.704324 -11.906148 -12.589361 -37.479118 -42.163210 -45.781830 -59.545316 -19.107336 -27.941004 -31.579038 -43.272103 -21.932546 -12.577436 -41.237215 -46.447268 5 27 11.31459032 -0.875204578 7.692490482 0.04 1 -0.2 -0.1153021249 2581.379746 -1.26665241 -1.300997665 3 4 5 6 0.323698 -0.529532 0.395474 0.131398 0.181307 -0.150696 0.754013 0.721949 0.776513 0.813692 1.053082 1.031752 16.524200 16.549416 1.004606 30.314597 30.293553 -0.838385 43.795108 43.811721 0.661893 56.070040 56.073108 0.122254 32.164722 32.187980 0.926606 59.273049 59.300485 1.093084 74.684384 74.656583 -1.107607 75.009329 74.996116 -0.526411 16.524200 30.314597 43.795108 58.000181 75.009329 93.910836 113.294416 120.394469 32.164722 59.273049 74.684384 76.734590 56.070040 74.650659 93.237012 95.939183 5 25 59.60335535 -1.61836058 4.093841878 0.04 1 -0.1 -0.1453169335 12.29618996 -0.8847007707 -1.226969957 3 4 5 6 0.351292 -0.443681 0.162586 0.171426 0.146986 -0.147385 0.773518 0.502196 0.814300 0.701912 1.109039 1.073195 16.524200 16.548755 0.565005 22.648094 22.680798 0.752521 23.012181 22.967881 -1.019341 35.857968 35.859820 0.042620 17.585617 17.596385 0.247785 36.262097 36.277525 0.355000 41.235602 41.238761 0.072691 44.586758 44.592339 0.128428 16.524200 22.648094 23.012181 40.670408 44.586758 54.871834 69.143424 71.094897 17.585617 36.262097 41.235602 46.452810 35.857968 52.461238 55.254750 56.823202 5 28 46.09400111 -2.097528049 3.975843204 0.04 1 0 -0.190665725 4.68656106 -0.6695488423 -1.229229538 3 4 5 6 0.352278 -0.443547 0.132639 0.190301 0.114569 -0.120534 0.776582 0.512561 0.818199 0.733729 1.114877 1.144923 16.524200 16.553066 0.646880 21.091874 21.105276 0.300333 26.179603 26.157557 -0.494030 34.178254 34.200533 0.499280 16.943145 16.954057 0.244542 36.705746 36.722844 0.383157 40.180672 40.185542 0.109138 45.072846 45.077947 0.114307 16.524200 21.091874 26.179603 34.178254 45.072846 55.107646 69.497162 72.108150 16.943145 36.705746 40.180672 47.898311 37.597160 54.740846 56.952436 60.938086 5 28 47.75713647 -2.37897164 3.925894276 0.04 1 0.1 -0.2277890361 4.460423527 -0.5423616692 -1.205672775 3 4 5 6 0.344625 -0.462423 0.164257 0.200424 0.092656 -0.098553 0.770611 0.511808 0.815406 0.745160 1.113871 1.178208 16.524200 16.552280 0.607848 21.715990 21.734162 0.393379 28.303484 28.281347 -0.479219 33.702378 33.726352 0.518959 16.342886 16.353883 0.238065 36.524683 36.542690 0.389800 39.483528 39.488714 0.112267 45.010722 45.014912 0.090717 16.524200 21.715990 28.303484 33.702378 45.010722 54.837182 69.224738 72.053801 16.342886 36.524683 39.483528 48.460189 38.463204 55.402433 57.255458 63.289259 5 28 88.24952787 -2.096924316 3.169752643 0.04 1 0.2 -0.264525686 36.95386467 -0.4141908428 -1.196063514 3 4 5 6 0.327487 -0.491533 0.229898 0.208349 0.074110 -0.078854 0.757473 0.408571 0.801238 0.692119 1.097054 1.167468 16.524200 16.549041 0.412577 18.466928 18.475008 0.134204 23.965974 23.947703 -0.303457 31.296580 31.298900 0.038533 12.705488 12.714657 0.152294 29.002460 29.017760 0.254113 31.484174 31.488497 0.071800 36.005208 36.007808 0.043196 16.524200 18.466928 23.965974 35.057881 36.005208 43.790599 55.553232 57.687391 12.705488 29.002460 31.484174 39.231323 31.296580 44.904078 46.199825 51.331174 5 28 89.90412399 -1.749888676 3.502424011 0.04 1 0.3 -0.3084807836 8.291915819 -0.3124954719 -1.163489252 3 4 5 6 0.300736 -0.535001 0.332156 0.213315 0.061601 -0.065068 0.737786 0.437440 0.783187 0.713467 1.077259 1.192016 16.524200 16.548400 0.407839 19.267545 19.285651 0.305140 26.910901 26.891235 -0.331438 34.088432 34.263267 2.946477 13.307719 13.318516 0.181960 30.837277 30.855344 0.304492 34.095657 34.100783 0.086376 38.735478 38.737261 0.030044 16.524200 19.267545 26.910901 34.423915 38.735478 47.110210 60.278317 62.369257 13.307719 30.837277 34.095657 42.764963 34.088432 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