********** 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 70052.45921 -0.25 -6.408212565 0.0225 1 -0.1068460175 -0.35 28.97937759 -1.442549747 -1.476863014 2 4 5 6 0.091137 -2.050885 2.837826 0.091784 0.088317 0.049579 0.674423 0.291508 0.639936 0.394141 0.855800 0.589640 16.524200 16.378969 1.357088 -15.729622 -15.952603 2.083623 -16.489273 -16.557122 0.634009 -16.559951 -19.729138 29.614042 -17.613079 -17.730154 1.093993 -22.902894 -22.956600 0.501854 -42.042760 -42.093260 0.471889 -43.569867 -43.769330 1.863848 16.524200 -16.559951 -15.729622 -16.489273 -42.042760 -56.178559 -48.148372 -76.430659 -17.613079 -22.902894 -43.569867 -49.732616 -23.389095 -37.553076 -39.807379 -49.006473 5 28 19781.3754 -0.25 -12.29730701 0.0225 1 -0.1212041037 -0.3 4.647011994 -2.724141661 -4.654431069 2 4 5 6 0.132120 -1.491128 2.044693 -0.065865 0.201445 -0.092482 0.689074 -0.113655 0.001105 -0.153942 -0.341324 -0.254084 16.524200 16.294364 5.974689 -34.887464 -36.621101 45.066737 -36.619608 -39.007646 62.078187 -40.942181 -41.022318 2.083208 -39.003420 -39.164680 4.192037 -54.205779 -54.314780 2.833551 -89.531856 -89.605533 1.915288 -99.496172 -99.670161 4.522915 16.524200 -36.619608 -34.887464 -40.942181 -89.531856 -117.361284 -118.025921 -154.426617 -39.003420 -54.205779 -99.496172 -104.559888 -55.967559 -71.258819 -95.051176 -105.866278 5 26 446784.4102 -0.425959422 23.89958452 0.0225 1 -0.1170852894 -0.25 10017.59461 -1.897510172 -2.105590106 2 4 5 6 0.194289 -0.780733 0.837645 0.041304 0.214731 -0.125617 0.707128 0.637921 0.556641 0.650328 0.688051 0.685596 16.524200 16.844502 23.796693 92.225131 92.018414 -15.357959 113.566655 123.445722 733.961728 123.328486 126.740821 253.518227 85.250782 85.445273 14.449567 139.836827 140.016587 13.355187 200.619514 200.683295 4.738593 217.939962 218.021790 6.079311 16.524200 92.225131 113.566655 123.328486 200.619514 256.709372 304.464739 332.425244 85.250782 139.836827 217.939962 222.382728 142.775936 191.606587 230.576137 268.830332 5 26 57.53422086 -1.049861328 6.645021074 0.0225 1 -0.09050857363 -0.2 31185.82407 -0.8728731733 -1.026300738 2 4 5 6 0.257055 -0.497583 0.292683 0.154748 0.175544 -0.165888 0.725071 0.647664 0.784632 0.785220 1.081368 1.081031 16.524200 16.585908 1.686504 30.982806 30.938163 -1.220111 36.449786 36.467750 0.490964 48.209128 48.218313 0.251003 25.531313 25.563947 0.891878 47.794242 47.832697 1.050971 62.668140 62.624053 -1.204904 62.947686 63.021152 2.007861 16.524200 30.982806 36.449786 50.681213 62.668140 78.685979 98.900871 101.368236 25.531313 47.794242 62.947686 67.685824 48.209128 70.950421 80.139805 80.475941 5 27 10.00028973 -1.145745838 6.186607539 0.0225 1 -0.116075451 -0.15 3688.830259 -0.7507564924 -0.9000860862 2 4 5 6 0.280623 -0.484804 0.294634 0.165724 0.164046 -0.162647 0.727851 0.657541 0.811115 0.807695 1.125523 1.127594 16.524200 16.564718 1.125497 26.926724 26.894213 -0.903079 34.084355 34.100248 0.441480 45.137532 45.142443 0.136426 24.298246 24.322105 0.662726 45.912922 45.941060 0.781584 58.859573 58.865941 0.176879 59.012340 59.021407 0.251876 16.524200 26.926724 34.084355 48.912221 58.859573 73.822043 90.788011 94.960221 24.298246 45.912922 59.012340 62.274976 45.137532 66.723709 71.478755 75.909540 5 28 19.09177274 -1.276494696 6.179577888 0.0225 1 -0.1316554889 -0.1 4.401323656 -0.9305509613 -1.088642355 2 4 5 6 0.306244 -0.474985 0.294651 0.150335 0.182143 -0.171969 0.730111 0.645962 0.779385 0.778383 1.069764 1.064426 16.524200 16.550151 0.785773 25.855852 25.837691 -0.549893 27.335968 27.349840 0.420046 45.793385 45.795753 0.071711 24.746097 24.763086 0.514393 47.640699 47.661208 0.620993 59.251446 59.234379 -0.516756 59.597882 59.606961 0.274891 16.524200 25.855852 27.335968 46.732276 59.597882 74.595010 90.363629 95.820579 24.746097 47.640699 59.251446 61.774064 45.793385 65.606122 71.385600 76.340177 2 8 111.3644914 -1.620130462 4.789326912 0.0225 1 -0.122252 -0.05 50 -0.97786 -1.06285 2 4 5 6 0.338021 -0.458959 0.264318 0.149402 0.183879 -0.175707 0.735763 0.536787 0.791420 0.696006 1.088110 1.008216 16.524200 16.530618 0.166248 21.295767 21.291424 -0.112493 26.497785 26.507894 0.261841 37.565840 37.566352 0.013275 19.584968 19.592583 0.197255 39.505543 39.515805 0.265788 46.453460 46.449705 -0.097256 47.969088 47.938184 -0.800468 16.524200 21.295767 26.497785 43.635668 47.969088 59.707522 72.609430 76.374676 19.584968 39.505543 46.453460 48.892554 37.565840 53.143916 56.943570 61.097612 5 29 158.5978783 -1.816453745 4.805442809 0.0225 1 -0.1198562913 1e-05 5.136131096 -0.9328815036 -1.087921957 2 4 5 6 0.361695 -0.457084 0.262512 0.154930 0.176612 -0.172080 0.737468 0.564824 0.789171 0.723614 1.083711 1.041558 16.524200 16.526389 0.060869 22.105105 22.109542 0.123398 22.855025 22.858413 0.094222 38.724691 38.724710 0.000534 19.880386 19.883689 0.091873 41.227581 41.233403 0.161898 46.820849 46.815771 -0.141219 49.061779 48.901863 -4.447208 16.524200 22.105105 22.855025 39.911867 49.061779 60.892098 74.011862 77.769942 19.880386 41.227581 46.820849 49.255618 38.724691 54.160692 57.620566 62.357774 5 28 151.7036514 -1.773987675 5.352637665 0.0225 1 -0.12928362 0.05 3.88768724 -0.8303768609 -1.032786101 2 4 5 6 0.378399 -0.460254 0.269207 0.164889 0.161927 -0.161296 0.734573 0.655857 0.795937 0.804591 1.097074 1.122136 16.524200 16.526641 0.079104 23.379460 23.385061 0.181495 25.272738 25.271654 -0.035102 41.489848 41.490943 0.035484 22.236839 22.236248 -0.019168 46.564836 46.567354 0.081592 51.809259 51.798027 -0.364014 54.053804 53.921180 -4.297949 16.524200 25.272738 23.379460 41.489848 54.631258 67.770776 81.768340 87.214495 22.236839 46.564836 51.809259 54.053804 42.977860 59.232595 63.157665 69.477171 2 8 137.815542 -1.903154476 4.884419943 0.0225 1 -0.122252 0.1 50 -0.97786 -1.06285 2 4 5 6 0.395338 -0.455324 0.247095 0.154741 0.172955 -0.167090 0.733269 0.593776 0.789104 0.743537 1.086336 1.052476 16.524200 16.528993 0.148099 24.192502 24.189309 -0.098647 26.973907 26.984549 0.328805 39.867120 39.867320 0.006159 20.356121 20.352015 -0.126872 43.557870 43.557596 -0.008445 47.187612 47.175656 -0.369401 49.389758 49.303742 -2.657570 16.524200 24.192502 26.973907 44.362445 50.408744 62.405444 75.642424 79.686378 20.356121 43.557870 47.187612 49.389758 39.867120 54.925900 57.734134 64.106146 5 29 111.6927447 -1.903118061 5.371153106 0.0225 1 -0.1231571434 0.15 9.650666949 -0.9613784306 -1.059891064 2 4 5 6 0.407350 -0.450248 0.219556 0.157073 0.167227 -0.160990 0.728307 0.658726 0.783795 0.795722 1.080016 1.092902 16.524200 16.534077 0.345777 26.451930 26.467798 0.555469 28.290433 28.278512 -0.417319 43.639768 43.640484 0.025079 22.333466 22.325191 -0.289701 48.303620 48.300991 -0.092040 51.127191 51.108837 -0.642522 53.826992 53.754997 -2.520316 16.524200 26.451930 28.290433 46.246511 55.292270 68.410909 82.886245 86.676356 22.333466 48.303620 51.127191 53.826992 43.639768 59.972683 62.490717 70.419902 2 23 70885.09153 -0.25 -6.81550277 0.04 1 -0.1692036814 -0.35 71.95355117 -1.662730451 -1.739513606 2 4 5 6 0.130140 -1.984389 2.734002 0.087872 0.080901 0.048668 0.712236 0.316745 0.647450 0.402898 0.849587 0.579242 16.524200 16.381443 2.025936 -16.443278 -18.211180 25.089162 -18.278300 -22.247905 56.334588 -26.097516 -22.972396 -44.350099 -21.714559 -21.817291 1.457924 -28.208868 -28.266228 0.814017 -48.979392 -49.040451 0.866510 -51.807519 -55.179400 47.852004 16.524200 -18.278300 -16.443278 -26.097516 -48.979392 -65.233945 -51.807519 -89.933443 -21.714559 -28.208868 -55.109359 -58.449631 -28.753895 -41.888908 -49.522761 -55.619857 5 27 37993.13815 -0.25 -10.42108375 0.04 1 -0.186261519 -0.3 7.715897957 -2.699770077 -5.059907042 2 4 5 6 0.165123 -1.594193 2.193432 -0.034305 0.171577 -0.067620 0.721512 0.010339 0.003855 -0.010870 -0.348991 -0.063519 16.524200 16.345213 4.927894 -28.455857 -28.335505 -3.313538 -32.183936 -40.381347 225.691946 -41.631150 -41.641575 0.286999 -36.147178 -36.268523 3.340884 -49.374142 -49.458553 2.324030 -79.669055 -79.772977 2.861200 -89.458485 -89.516691 1.602525 16.524200 -28.455857 -32.183936 -41.631150 -79.669055 -104.797528 -89.638245 -146.326263 -36.147178 -49.374142 -89.458485 -92.685345 -49.755582 -59.781478 -87.206295 -96.705692 5 26 1217.980689 -0.679775906 9.339425576 0.04 1 -0.1441884736 -0.25 6424.68309 -1.478757276 -1.619961216 2 4 5 6 0.256865 -0.609577 0.473062 0.109760 0.190190 -0.143127 0.749749 0.679491 0.713591 0.751004 0.945202 0.925117 16.524200 16.632900 4.172279 42.777521 42.696919 -3.093784 52.619264 52.647893 1.098866 65.074267 65.150756 2.935931 37.129058 37.184930 2.144547 65.892262 65.954005 2.369890 88.823959 89.060671 9.085847 90.331175 90.131189 -7.676166 16.524200 42.777521 52.619264 65.074267 88.823959 111.710551 132.994017 149.630532 37.129058 65.892262 90.331175 95.784179 66.468712 96.350844 112.468392 116.252323 2 21 14.11824302 -1.177726024 5.16781565 0.04 1 -0.1173903323 -0.2 18406.17968 -0.4543397236 -0.8548474274 2 4 5 6 0.310492 -0.472712 0.208381 0.199934 0.098890 -0.106318 0.764280 0.637699 0.867860 0.833440 1.205706 1.234068 16.524200 16.567667 1.115922 27.045959 27.012504 -0.858884 30.103479 30.114859 0.292179 41.991775 41.996769 0.128187 21.576037 21.596318 0.520684 42.030601 42.057181 0.682384 51.256814 51.261515 0.120671 53.490834 53.502809 0.307431 16.524200 27.045959 30.103479 46.904036 53.490834 66.328651 82.474475 87.149659 21.576037 42.030601 51.256814 56.587406 41.991775 61.654702 67.019296 69.280247 5 27 9.66473887 -1.020077071 6.113373022 0.04 1 -0.1680884761 -0.15 1100.422911 -0.8637152484 -1.022651035 2 4 5 6 0.318617 -0.498804 0.303076 0.168243 0.149457 -0.143939 0.759642 0.688313 0.832781 0.832596 1.147681 1.147873 16.524200 16.558565 1.070981 27.326753 27.298121 -0.892342 35.237010 35.250745 0.428026 46.912365 46.916141 0.117665 25.610389 25.631351 0.653308 48.418842 48.444572 0.801872 60.340875 60.332101 -0.273447 61.365715 61.383539 0.555494 16.524200 27.326753 35.237010 51.003415 61.365715 76.482266 94.836060 97.737333 25.610389 48.418842 60.340875 63.480049 46.912365 64.872853 77.269623 78.502784 5 28 17.07971488 -1.131129524 6.367950886 0.04 1 -0.1794142866 -0.1 4.130146791 -0.9592043803 -1.151352442 2 4 5 6 0.344582 -0.482907 0.289598 0.161180 0.158014 -0.149488 0.761569 0.720522 0.812569 0.849599 1.111849 1.140288 16.524200 16.545968 0.764252 27.751092 27.789312 1.341835 28.892541 28.853803 -1.360044 48.629695 48.650770 0.739908 27.104618 27.120058 0.542073 52.383098 52.402984 0.698175 63.101886 63.094502 -0.259239 64.891749 64.874175 -0.617001 16.524200 27.751092 28.892541 48.629695 64.891749 80.658455 99.057282 102.950060 27.104618 52.383098 63.101886 65.810479 49.797856 68.131058 79.778933 82.529174 2 8 133.692861 -1.377801116 4.885511546 0.04 1 -0.171047 -0.05 50 -0.97786 -1.16519 2 4 5 6 0.375675 -0.462027 0.249930 0.162371 0.157514 -0.151828 0.766685 0.593021 0.816642 0.751978 1.116476 1.077775 16.524200 16.528681 0.131588 23.115460 23.112808 -0.077900 28.256142 28.265109 0.263337 40.228924 40.229331 0.011953 21.178452 21.185391 0.203778 42.724644 42.734845 0.299563 48.927019 48.923021 -0.117391 51.469130 51.328719 -4.123272 16.524200 23.115460 28.256142 45.515714 51.558356 63.719815 78.526832 81.052114 21.178452 42.724644 48.927019 51.469130 40.228924 55.337259 62.039821 65.228738 2 8 143.3317848 -1.495439348 4.74795212 0.04 1 -0.171047 0.0001 50 -0.97786 -1.16519 2 4 5 6 0.398647 -0.457455 0.243855 0.163866 0.155091 -0.150579 0.767726 0.596097 0.818108 0.756154 1.118696 1.084572 16.524200 16.524670 0.014226 23.392256 23.393109 0.025853 27.524824 27.533302 0.256734 39.950264 39.950276 0.000361 20.776644 20.779585 0.089067 42.943208 42.949233 0.182475 47.688648 47.683122 -0.167351 50.048847 49.992564 -1.704451 16.524200 23.392256 27.524824 44.870129 50.911615 62.739082 77.148730 80.229473 20.776644 42.943208 47.688648 50.048847 39.950264 54.633263 60.318302 64.281137 5 29 134.9005236 -1.546462537 5.157225922 0.04 1 -0.1731222981 0.05 5.831311911 -0.9565465436 -1.168619602 2 4 5 6 0.417214 -0.454941 0.237213 0.166308 0.150659 -0.146895 0.766502 0.660562 0.816166 0.808053 1.116203 1.125399 16.524200 16.525877 0.057742 25.687646 25.695157 0.258575 26.402267 26.401354 -0.031435 43.790397 43.790347 -0.001748 22.670053 22.669558 -0.017044 47.657531 47.660788 0.112147 51.686930 51.678514 -0.289750 54.010992 53.963880 -1.621882 16.524200 26.402267 25.687646 44.015260 55.718687 68.534751 83.987081 87.499478 22.670053 47.657531 51.686930 54.010992 43.790397 59.240063 65.349681 70.315689 5 29 123.0774491 -1.585869673 5.252333357 0.04 1 -0.1736052746 0.1 8.713582933 -0.9480764478 -1.148922877 2 4 5 6 0.433044 -0.450053 0.218661 0.168253 0.146381 -0.142736 0.763984 0.686626 0.816733 0.830639 1.118752 1.145598 16.524200 16.528469 0.155357 27.740604 27.745034 0.161210 27.812847 27.814406 0.056735 44.809710 44.809903 0.007020 23.119208 23.115207 -0.145605 49.320021 49.320799 0.028318 52.311858 52.300828 -0.401385 54.624953 54.583291 -1.516187 16.524200 27.740604 27.812847 46.675631 56.986302 69.982132 85.405479 88.915646 23.119208 49.320021 52.311858 54.624953 44.809710 59.761718 66.621345 71.928435 5 29 108.8088802 -1.615307184 5.500023748 0.04 1 -0.1734840023 0.15 15.83531094 -0.9617982406 -1.09977098 2 4 5 6 0.446002 -0.441914 0.186329 0.168395 0.143996 -0.139308 0.759985 0.724600 0.820707 0.860847 1.128006 1.166290 16.524200 16.531786 0.297723 29.595434 29.581587 -0.543471 30.546287 30.565735 0.763305 46.886189 46.886807 0.024234 24.164723 24.157077 -0.300122 52.175270 52.174403 -0.034019 54.132680 54.118325 -0.563421 56.765003 56.726190 -1.523355 16.524200 29.595434 30.546287 48.828263 59.684240 73.202097 88.533182 93.204625 24.164723 52.175270 54.132680 56.765003 46.886189 61.530435 69.847327 75.391023 5 28 48016.35381 -0.25 -8.269553441 0.0625 1 -0.2255775482 -0.35 9.155020368 -1.842154314 -1.824110277 2 4 5 6 0.177851 -1.802034 2.449600 0.089272 0.075614 0.043240 0.750803 0.399345 0.689170 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