Meson octets/nonets (Gell-Man’s Eightfold Way), baryon octets & decuplets by plotting strangeness vs. isospin.
Pseudoscalar meson nonet
Vector meson nonet
Baryon octet
Baryon decuplet
Edit and compile if you like:
% Author: Izaak Neutelings (July 2023) % Description: % Meson & baryon octets and decuplets with I3-S-Q axes % Sources: % https://en.wikipedia.org/wiki/Gell-Mann–Nishijima_formula % https://en.wikipedia.org/wiki/Quark_model % https://en.wikipedia.org/wiki/Eightfold_way_(physics) % https://commons.wikimedia.org/wiki/File:Meson-octet-small.svg % https://commons.wikimedia.org/wiki/File:Baryon-octet-small.svg % https://commons.wikimedia.org/wiki/File:Baryon-decuplet-small.svg \documentclass[border=3pt,tikz]{standalone} \usepackage{amsmath} % for \text \usetikzlibrary{arrows.meta} % to control arrow size \tikzset{>={Latex[length=4,width=4]}} % for LaTeX arrow head \usetikzlibrary{calc} \usepackage{xcolor} % for colored text % COLORS \colorlet{myblue}{blue!90!black} \colorlet{mydarkblue}{blue!40!black} \colorlet{myred}{red!90!black!80} \colorlet{mygreen}{green!60!black} \colorlet{mylightgreen}{green!75!black} % STYLES \renewcommand\bar[1]{\overline{\mathrm{#1}}} \newcommand\PM[2]{$\mathrm{#1\overline{#2}}$} % meson \tikzstyle{guide}=[ultra thin,black!15,line cap=round] \tikzstyle{myball}=[line width=0.05,ball color=#1] \tikzstyle{tick}=[scale=0.84,inner sep=1pt] \tikzstyle{pname}=[mygreen,scale=1.05,inner sep=0pt,outer sep=#1pt] % particle name \tikzstyle{lineheight}=[execute at begin node=\setlength{\baselineskip}{#1}] \tikzstyle{particle}=[ circle,scale=0.9,minimum size=#1,inner sep=0.5pt,outer sep=1pt, %font=\bf, myred,ball color=mygreen,align=center,lineheight=6pt, postaction={fill=green!77!black!37,fill opacity=0.8, draw=mygreen!50!black,line width=0.05} ] \tikzset{ pname/.default=0 } % UNSLANT GREEK LETTERS for particle symbols % https://tex.stackexchange.com/questions/145926/upright-greek-font-fitting-to-computer-modern % https://tex.stackexchange.com/questions/236915/adjust-custom-made-upright-greek-letters-when-used-in-subscripts \usepackage{scalerel} \newsavebox{\foobox} \newcommand{\slantbox}[2][0]{\mbox{% \sbox{\foobox}{#2}% \hskip\wd\foobox \pdfsave \pdfsetmatrix{1 0 #1 1}% \llap{\usebox{\foobox}}% \pdfrestore }} \newcommand\unslant[2][-.25]{% %\mkern1.2mu% \ThisStyle{\slantbox[#1]{$\SavedStyle#2$}}% \mkern-2.2mu% } \newcommand{\PGe}{\unslant\eta} \newcommand{\PGp}{\unslant\pi} \newcommand{\PGr}{\unslant\rho} \newcommand{\PGf}{\unslant\phi} \newcommand{\PGo}{\unslant\omega} % SETTINGS: (default) lengths, angles, scale factors, ... \def\r{0.9pt} % point radius \def\Lgrid{1.45} % maximum length of grid lines \def\ltick{1.6pt} % tick length %\pgfmathsetmacro\xs{2/sqrt(3)} % unit I3 isospin to make octogon with equal sides (2/tan(60)) \def\lmask{1.3*\ltick} % extend tick length to mask line \def\lqmask{1.3*\lqtick} % extend tick length to mask line \def\NtickS{2} % number of ticks along S axis \def\Smin{-1} % S axis minimum \def\Smax{ 1} % S axis maximum \def\Qmin{-1} % Q axis minimum \def\Qmax{ 1} % Q axis maximum \def\Imin{-1} % I3 axis minimum \def\Imax{ 1} % I3 axis maximum \def\Qoffset{-1.75} % offset of X axis \def\computeParameters{ % compute common parameters (angles, scales, ...) \pgfmathsetmacro\ang{atan(0.5)} % angle between I3 and Q axes \pgfmathsetmacro\angs{atan(\xs/2)} % angle between I3 and Q axes (x scaled) for lines \pgfmathsetmacro\angt{atan(0.5/\xs)} % angle Q axis title \pgfmathsetmacro\angl{.4*\angs+.6*\angt} % angle Q tick label \pgfmathsetmacro\qs{cos(\ang)} % unit Q charge in (I3,S) \pgfmathsetmacro\qss{\xs*cos(\angs)} % unit Q charge in (I3,S) \pgfmathsetmacro\ts{\xs/sqrt(\xs^2*cos(\ang)^2+sin(\ang)^2)} % scale tick on Q axis \def\lqtick{\ts*\ltick} % tick length on Q axis (x scaled) \message{^^J- xscale xs = \xs} \message{^^J- angle ang = \ang} \message{^^J- angle angs = \angs (x-scaled)} \message{^^J- angle angt = \angt (for title)} \message{^^J- charge unit qs = \qs} \message{^^J- charge unit qss = \qss (x-scaled)} } % COMMON MACROS \def\tick#1#2{\draw[thick] (#1) ++ (#2:\ltick) --++ (#2-180:2*\ltick)} \def\qtick#1{ % ticks on the Q axis \draw[thick] % parallel to grid lines (\ang:\qs*#1) ++ (90+\angs:\ltick) --++ (\angs-90:2*\ltick) %\draw[thick] % perpendicular to Q axis % (\ang:\qs*#1) ++ (90+\ang:{\lqtick/\xs} and {\lqtick}) % --++ (\ang-90:{2*\lqtick/\xs} and {2*\lqtick}) } \def\particle(#1){ % small ball \fill[mygreen,ball color=mygreen,postaction={ fill=mylightgreen,fill opacity=0.6,draw=mygreen!50!black,line width=0.04}] (#1) circle(\r) } \def\mesonNode(#1){\node[particle=16pt] (P) at (#1)} \def\baryonNode(#1){\node[particle=20pt] (P) at (#1)} % MACROS for GRIDS \def\drawGrid#1{ % GRID for mesons \begin{scope}[shift={(0,#1)}] % vertical shift \clip[scale=1.15,rounded corners=4pt] % octagon (1,0) -- (1/2,1) -- (-1/2,1) -- (-1,0) -- (-1/2,-1) -- (1/2,-1) -- cycle; \foreach \i in {1,2}{ \draw[guide] (-\i/2,-\Lgrid) -- (-\i/2,\Lgrid); % isospin I3 \draw[guide] ( \i/2,-\Lgrid) -- ( \i/2,\Lgrid); % isospin I3 } \foreach \i in {-1,0,1}{ \draw[guide] (-\Lgrid,\i) -- (\Lgrid,\i); % spin S, hypercharge Y } \foreach \i [evaluate={\q=\qss*\i}] in {-1,...,1}{ % EM charge Q \draw[guide,rotate=\angs-90] (-\Lgrid,\q) -- (\Lgrid,\q); } \end{scope} } \def\drawGridBaryonTriangle{ % GRID for baryon decuplet \clip (-1.67,-3.2) rectangle (1.75+1.145/\xs,0.42); % prevent white space \begin{scope} \clip[shift={(0,-1)},scale=1.1,rounded corners=4pt] % octagon (-3/2,1) -- (1.65,1) -- (0,-2) -- cycle; \foreach \i in {1,2}{ \draw[guide] (-\i/2,-\Lgrid-1) -- (-\i/2,\Lgrid-1); % isospin I3 \draw[guide] ( \i/2,-\Lgrid-1) -- ( \i/2,\Lgrid-1); % isospin I3 } \foreach \i in {-2,...,1}{ \draw[guide] (-\Lgrid,\i-1) -- (\Lgrid,\i-1); % spin S, hypercharge Y } \foreach \i [evaluate={\L=1.2*(\i+6)}] in {-1,...,2}{ % EM charge Q \draw[guide] (1/2-\i,0) ++ (\ang+90:0.2*\Lgrid) --++ (\ang-90:\L); } \end{scope} } \def\drawFullGrid{ % GRID for offset axes \pgfmathsetmacro\IminGrid{\Imin+1-\Lgrid} % minimum \pgfmathsetmacro\ImaxGrid{\Imax-1+\Lgrid} % maximum \pgfmathsetmacro\SminGrid{\Smin+1-\Lgrid} % minimum \pgfmathsetmacro\SmaxGrid{\Smax-1+\Lgrid} % maximum \foreach \i [% parse=true,evaluate={% \x=\Imin+\i/2;% \S=max(\Smin-0.2,-\Lgrid+\Smax+2*abs(\x)-1.8);% }] in {0,...,2*(\Imax-\Imin)}{ \draw[guide] % isospin I3 (\x,\S) -- (\x,\SmaxGrid); } \foreach \i [% parse=true,evaluate={% \y=\Smin+\i;% \I=\ImaxGrid-0.5*abs(\y-(\Smin<-2?0:(\Smax+\Smin)/2))-0.23;% }] in {0,...,\Smax-\Smin}{ \draw[guide] % spin S, hypercharge Y (\IminGrid,\y) -- (\I,\y); } \begin{scope}[shift={(0,\Smax-1)}] % vertical shift \clip %\draw[red] (\IminGrid,\Lgrid) -- (\IminGrid,\Smin-\Smax+2-\Lgrid) -- ($(\ang+90:\qs*\Qoffset)+(\ang:-1.1*\qs)$) --++ (\ang:{(\Qmax-\Qmin+0.2)*\qs}) -- (\ImaxGrid,\Lgrid) -- cycle; \foreach \i [parse=true,evaluate={\q=\qs*(\Qmin+\i)}] in {0,...,\Qmax-\Qmin}{ \draw[guide] % EM charge Q ($(\ang+90:\qs*\Qoffset)+(\ang:\q)$) --++ (90+\ang:{(\Qoffset-\Lgrid)*(0.12*\i-1.2)}); } \end{scope} } % MACROS for AXES \def\drawAxisMesonOctet{ % AXES for mesons \draw[->,thick] (-1-0.15/\xs,0) -- (1+0.22/\xs,0) node[right=-2pt] {$I_3$}; \draw[->,thick] (0,-1.15) -- (0,1.22) node[above=-2] {$S$}; \draw[->,thick] (\ang:-\qs*1.15) -- (\ang:\qs*1.26) node[rotate=\angt,anchor=\angs+174,inner sep=0.5pt] {$Q=I_3+\frac{1}{2}S$}; \begin{scope}[every node/.style={tick}] % ticks \tick{-1,0}{90} node[left=3pt,below=1pt] {$-1$}; \tick{-1/2,0}{90}; %node[left=5pt,below] {$-\frac{1}{2}$}; \tick{1/2,0}{90}; %node[left=3pt,below] {$+\frac{1}{2}$}; \tick{1,0}{90} node[right=3pt,below] {$+1$}; \tick{0,-1}{0} node[left=5pt,below=1pt] {$-1$}; \tick{0,-1/2}{0}; \tick{0,1/2}{0}; \tick{0,1}{0} node[left=5pt,above=0.8pt] {$+1$}; \qtick{1/2}; %\qtick{-1} node[anchor=\ang+5] {$-1$}; % vertical \qtick{-1} node[rotate=\angl,below left=0pt] {$-1$}; \qtick{-1/2}; %\qtick{0} node[below right=0] {$0$}; % vertical \qtick{0} node[rotate=\angl,right=0.5pt,below=1pt] {$0$}; \qtick{1/2}; %\qtick{1} node[anchor=\ang+160] {$+1$}; % vertical \qtick{1} node[rotate=\angl,below left=0pt] {$+1$}; \end{scope} } \def\drawAxisBaryonOctet{ % AXES for baryons octet \draw[->,thick] (-1-0.15/\xs,0) -- (1+0.22/\xs,0) node[anchor=-140,inner sep=1pt] {$I_3$}; \draw[->,thick] (0,-2.15) -- (0,0.22) node[above=-2] {$S$}; \draw[->,thick,shift={(0,-1)}] (\ang:-\qs*1.15) -- (\ang:\qs*1.26) node[rotate=\angt,anchor=-168,inner sep=0pt] {$Q=I_3+\frac{1}{2}(B+S)$}; \begin{scope}[every node/.style={tick}] % ticks \node[below left=1pt] at (0,0) {$0$}; \tick{-1,0}{90} node[left=3pt,below=1pt] {$-1$}; \tick{-1/2,0}{90}; %node[left=5pt,below] {$-\frac{1}{2}$}; \tick{1/2,0}{90}; %node[left=3pt,below] {$+\frac{1}{2}$}; \tick{1,0}{90} node[left=3pt,below=1pt] {$+1$}; \tick{0,-1/2}{0}; \tick{0,-1}{0} node[above=2pt,left=0pt] {$-1$}; \tick{0,-3/2}{0}; \tick{0,-2}{0} node[left=5pt,below=1.0pt] {$-2$}; \begin{scope}[shift={(0,-1)}] \qtick{1/2}; %\qtick{-1} node[anchor=\ang+5] {$-1$}; \qtick{-1} node[rotate=\angl,below left=0pt] {$-1$}; % vertical \qtick{-1/2}; %\qtick{0} node[below right=0] {$0$}; % vertical \qtick{0} node[rotate=\angl,right=0.5pt,below=1pt] {$0$}; \qtick{1/2}; %\qtick{1} node[anchor=\ang+160] {$+1$}; % vertical \qtick{1} node[rotate=\angl,below left=0pt] {$+1$}; \end{scope} \end{scope} } \def\drawAxisBaryonDecuplet{ % AXES for baryon decuplet \draw[->,thick] (-1.5-0.15/\xs,0) -- (1.5+0.25/\xs,0) node[anchor=-150,inner sep=2pt] {$I_3$}; \draw[->,thick] (0,-3.15) -- (0,0.22) node[above=-2] {$S$}; \draw[->,thick,shift={(0,-1)}] (\ang:-\qs*1.2) -- (\ang:\qs*2.2) %node[rotate=\angt,anchor=179,inner sep=2pt] {$Q=I_3+\frac{1}{2}(B+S)$}; node[rotate=\angt,anchor=125,inner sep=12pt] {$Q=I_3+\frac{1}{2}(B+S)$}; \begin{scope}[every node/.style={tick}] % ticks \node[below left=1pt] at (0,0) {$0$}; \tick{-3/2,0}{90}; \tick{-1,0}{90} node[left=3pt,below=1pt] at (-1,-\ltick) {$-1$}; \tick{-1/2,0}{90}; %node[left=3pt,below] {$-\frac{1}{2}$}; \tick{1/2,0}{90}; %node[left=3pt,below] {$+\frac{1}{2}$}; \tick{1,0}{90} node[left=3pt,below=1pt] {$+1$}; \tick{3/2,0}{90}; \tick{0,-1/2}{0}; \tick{0,-1}{0} node[above=2pt,left=0pt] {$-1$}; \tick{0,-3/2}{0}; \tick{0,-2}{0} node[left=1pt] {$-2$}; \tick{0,-5/2}{0}; \tick{0,-3}{0} node[left=1pt] {$-3$}; \begin{scope}[shift={(0,-1)}] \qtick{1/2}; %\qtick{-1} node[anchor=\ang+20,inner sep=2pt] {$-1$}; {$-1$}; % vertical \qtick{-1} node[rotate=\angl,below left=0pt] {$-1$}; \qtick{-1/2}; %\qtick{0} node[below right=0] {$0$}; % vertical \qtick{0} node[rotate=\angl,right=0.5pt,below=1pt] {$0$}; \qtick{1/2}; %\qtick{1} node[anchor=\ang+70,inner sep=2pt] {$+1$}; % vertical \qtick{1} node[rotate=\angl,left=3pt,below=1pt] {$+1$}; \qtick{3/2}; %\qtick{2} node[anchor=\ang+70,inner sep=2pt] {$+2$}; % vertical \qtick{2} node[rotate=\angl,left=3pt,below=1pt] {$+2$}; \end{scope} \end{scope} } \def\drawSAxis{ % offset S AXES (vertical) \begin{scope}[shift={(\Imin+1-\Lgrid,0)},every node/.style={tick}] % ticks \draw[->,thick] (0,\Smin-0.15) -- (0,\Smax+0.22) node[above=2pt] {$S$}; \foreach \i [parse=true,evaluate={% \y=\Smin+\i/2; % tick position \num=int(abs(2*\y)); % numerator for denominator = 2 }] in {0,...,2*(\Smax-\Smin)}{ \ifodd\num % half-integer tick %\ifdim \y pt < 0 pt - \else + \fi % sign %\dfrac{\pgfmathprintnumber{\num}}{2} % fraction \else % whole integer tick \tick{0,\y}{0} node[left=1pt] {$ \ifnum \num=0 0 \else \pgfmathprintnumber[print sign=true]{\y} \fi $}; \fi } \end{scope} } \def\drawIAxis{ % offset I3 AXES (horizontal) \begin{scope}[shift={(0,\Lgrid+\Smax-1)},every node/.style={tick}] % vertical shift \draw[->,thick] (\Imin-0.15/\xs,0) -- (\Imax+0.22/\xs,0) node[right=2pt] {$I_3$}; \foreach \i [parse=true,evaluate={% \x=\Imin+\i/2; % tick position \num=int(2*\x); % numerator for denominator = 2 }] in {0,...,2*(\Imax-\Imin)}{ \ifodd\num % half-integer tick \tick{\x,0}{-90} node[left=3pt,above=0pt] {$ \pgfmathprintnumber[print sign=true]{\num}/2 % fraction $}; \else % whole integer tick \tick{\x,0}{-90} node[left={(\x!=0)*3pt},above=1pt] {$ \ifnum \num=0 0 \else \pgfmathprintnumber[print sign=true]{\x} \fi $}; \fi } \end{scope} } \def\drawQAxis{ % offset I3 AXES (diagonal) \begin{scope}[shift={($(\ang+90:\qs*\Qoffset)+(0,\Smax-1)$)},every node/.style={tick}] % shift \draw[->,thick] (\ang:{\qs*(\Qmin-0.15)}) -- (\ang:{\qs*(\Qmax+0.26)}); \node[rotate=\angt,below=15pt] at (\ang:\qs*\Qmax) {$Q=I_3+\frac{1}{2}S$}; \foreach \i [parse=true,evaluate={% \q=\Qmin+\i/2; % tick position \num=int(2*\q); % numerator for denominator = 2 }] in {0,...,2*(\Qmax-\Qmin)}{ \ifodd\num \qtick{\q}; \else % whole integer tick \qtick{\q} node[anchor=\ang+70,inner sep=2pt] {$ \ifnum \num=0 \;0 \else \pgfmathprintnumber[print sign=true]{\q} \fi $}; \fi } \end{scope} } % MACROS for drawing REGULAR SHAPES \def\drawOctagon{ % MESONS OCTAGON \coordinate (Q-1) at (\ang:-\qs); % Q = -1 \coordinate (Q+1) at (\ang:\qs); % Q = +1 \draw[myblue,very thick] (1,0) -- (1/2,-1) -- (\lmask,-1) (-\lmask,-1) -- (-1/2,-1) -- ($(Q-1)+(\angs-90:\lqmask)$) ($(Q-1)+(\angs+90:\lqmask)$) -- (-1,0) -- (-1/2,1) -- (-\lmask,1) (\lmask,1) -- (1/2,1) -- ($(Q+1)+(\angs+90:\lqmask)$) ($(Q+1)+(\angs-90:\lqmask)$) -- (1,0); } \def\drawBaryonOctagon{ % BARYON OCTAGON \coordinate (Q-1) at ($(0,-1)+(\ang:-\qs)$); % Q = -1 \coordinate (Q+1) at ($(0,-1)+(\ang:\qs)$); % Q = +1 \draw[myblue,very thick] (-1/2,0) -- (1/2,0) -- ($(Q+1)+(\angs+90:\lqmask)$) ($(Q+1)+(\angs-90:\lqmask)$) -- (1,-1) -- (1/2,-2) -- (\lmask,-2) (-\lmask,-2) -- (-1/2,-2) -- ($(Q-1)+(\angs-90:\lqmask)$) ($(Q-1)+(\angs+90:\lqmask)$) -- (-1,-1) -- (-1/2,0); } \def\drawBaryonTriangle{ % BARYON TRIANGLE \coordinate (Q-1) at ($(0,-1)+(\ang:-\qs)$); % Q = -1 \draw[myblue,very thick] (-3/2,0) -- (3/2,0) -- (0,-3) -- ($(Q-1)+(\angs-90:\lqmask)$) ($(Q-1)+(\angs+90:\lqmask)$) -- (-3/2,0); } \begin{document} % PSEUDOSCALAR MESON OCTET / NONET \foreach \xs [evaluate=\xs] in {2/sqrt(3)}{ % loop over xscale \begin{tikzpicture}[scale=1.8,x={\xs cm},y=1cm] \message{^^JPseudoscalar meson octet (xs = \xs)} \computeParameters % AXES & GRID \drawGrid{0} \drawAxisMesonOctet % OCTAGON \drawOctagon % MESONS \particle(-1/2, 1) node[anchor=-70,inner sep=4pt] {K$^0$}; \particle( 1/2, 1) node[anchor=-130,inner sep=4pt] {K$^+$}; \particle(-1, 0) node[anchor=-70,inner sep=4pt] {$\PGp^-$}; \particle( 1, 0) node[anchor=-130,inner sep=4pt] {$\PGp^+$}; \particle(-1/2,-1) node[anchor=50,inner sep=2pt] {K$^-$}; \particle( 1/2,-1) node[anchor=155,inner sep=4pt] {$\bar{K}^0$}; \particle(\ang+30:0.09) node[anchor=-120,inner sep=4pt] {$\PGp^0$}; %\particle(\ang/2:0.12) node[anchor=\ang/2-180,inner sep=5pt] {$\PGp^0$}; \particle(120:0.09) node[anchor=-50,inner sep=2.5pt] {$\PGe$}; \particle(240:0.09) node[anchor= 60,inner sep=3pt] {$\PGe'$}; \end{tikzpicture}} % end loop % PSEUDOSCALAR MESON OCTET / NONET (offset axes) \foreach \xs [evaluate=\xs] in {2/sqrt(3)}{ % loop over xscale \begin{tikzpicture}[scale=1.7,x={\xs cm},y=1cm] \message{^^JPseudoscalar meson octet (xs = \xs)} \computeParameters % AXES & GRID \drawFullGrid \drawSAxis \drawIAxis \drawQAxis % OCTAGON \draw[myblue,very thick] (1,0) -- (1/2,-1) -- (-1/2,-1) -- (-1,0) -- (-1/2,1) -- (1/2,1) -- cycle; % MESONS \particle(-1/2, 1) node[anchor=-70,inner sep=4pt] {K$^0$}; \particle( 1/2, 1) node[anchor=-130,inner sep=4pt] {K$^+$}; \particle(-1, 0) node[anchor=-10,inner sep=2pt] {$\PGp^-$}; \particle( 1, 0) node[anchor=-170,inner sep=4pt] {$\PGp^+$}; \particle(-1/2,-1) node[anchor=50,inner sep=2pt] {K$^-$}; \particle( 1/2,-1) node[anchor=155,inner sep=4pt] {$\bar{K}^0$}; \particle(90:0.05) node[anchor=-100,inner sep=4pt] {$\PGp^0$}; \particle(210:0.05) node[anchor=45,inner sep=3pt] {$\PGe$}; \particle(330:0.05) node[anchor=150,inner sep=3pt] {$\PGe'$}; \end{tikzpicture}} % end loop % PSEUDOSCALAR MESON OCTET / NONET (offset axes, quarks) % https://commons.wikimedia.org/wiki/File:Meson-octet-small.svg \foreach \xs [evaluate=\xs] in {2/sqrt(3)}{ % loop over xscale \begin{tikzpicture}[scale=1.7,x={\xs cm},y=1cm] \message{^^JPseudoscalar meson octet (xs = \xs)} \computeParameters % AXES & GRID \drawFullGrid \drawSAxis \drawIAxis \drawQAxis % OCTAGON \draw[myblue,very thick] (1,0) -- (1/2,-1) -- (-1/2,-1) -- (-1,0) -- (-1/2,1) -- (1/2,1) -- cycle; % MESONS \mesonNode(-1/2, 1) {\PM{d}{u}} node[pname=0,anchor=-60] at (P.120) {K$^0$}; \mesonNode( 1/2, 1) {\PM{d}{u}} node[pname=1.5,anchor=-140] at (P.40) {K$^+$}; \mesonNode(-1, 0) {\PM{d}{u}} node[pname=-1,anchor=-60] at (P.120) {$\PGp^-$}; \mesonNode( 1, 0) {\PM{d}{u}} node[pname=1,anchor=-140] at (P.40) {$\PGp^+$}; \mesonNode(-1/2,-1) {\PM{d}{u}} node[pname,anchor=40] at (P.-140) {K$^-$}; \mesonNode( 1/2,-1) {\PM{d}{u}} node[pname,anchor=150] at (P.-30) {$\bar{K}^0$}; \node[particle=25pt] (P) at (0,0) {} node[pname=1.4,anchor=-100] at (P.70) {$\PGp^0$} node[pname=0.8,anchor=45] at (P.-145) {$\PGe$} node[pname=0.5,anchor=150] at (P.-30) {$\PGe'$}; \node[myred,scale=0.9,anchor=-68,inner sep=1.9pt] at (P) {\PM{d}{d}}; \node[myred,scale=0.9,anchor=40,inner sep=0.3pt] at (P) {\PM{u}{u}}; \node[myred,scale=0.9,anchor=172,inner sep=2.7pt] at (P) {\PM{s}{s}}; \end{tikzpicture}} % end loop % VECTOR MESON OCTET / NONET \foreach \xs [evaluate=\xs] in {2/sqrt(3)}{ % loop over xscale \begin{tikzpicture}[scale=1.8,x={\xs cm},y=1cm] \message{^^J^^JVector meson octet (xs = \xs)} \computeParameters % AXES & GRID \drawGrid{0} \drawAxisMesonOctet % OCTAGON \drawOctagon % MESONS \particle(-1/2, 1) node[anchor=-70,inner sep=4pt] {K$^{*0}$}; \particle( 1/2, 1) node[anchor=-130,inner sep=4pt] {K$^{*+}$}; \particle(-1, 0) node[anchor=-70,inner sep=4pt] {$\PGr^-$}; \particle( 1, 0) node[anchor=-130,inner sep=4pt] {$\PGr^+$}; \particle(-1/2,-1) node[anchor=60,inner sep=4pt] {K$^{*-}$}; \particle( 1/2,-1) node[anchor=150,inner sep=3pt] {$\bar{K}^{*0}$}; \particle(\ang+30:0.09) node[anchor=-130,inner sep=3pt] {$\PGr^0$}; \particle(120:0.09) node[anchor=-50,inner sep=2pt] {$\PGf$}; \particle(240:0.09) node[anchor=58,inner sep=3pt] {$\PGo$}; \end{tikzpicture}} % end loop % VECTOR MESON OCTET / NONET (offset axes) \foreach \xs [evaluate=\xs] in {2/sqrt(3)}{ % loop over xscale \begin{tikzpicture}[scale=1.7,x={\xs cm},y=1cm] \message{^^JPseudoscalar meson octet (xs = \xs)} \computeParameters % AXES & GRID \drawFullGrid \drawSAxis \drawIAxis \drawQAxis % OCTAGON \draw[myblue,very thick] (1,0) -- (1/2,-1) -- (-1/2,-1) -- (-1,0) -- (-1/2,1) -- (1/2,1) -- cycle; % MESONS \particle(-1/2, 1) node[anchor=-70,inner sep=4pt] {K$^{*0}$}; \particle( 1/2, 1) node[anchor=-130,inner sep=4pt] {K$^{*+}$}; \particle(-1, 0) node[anchor=-10,inner sep=3pt] {$\PGr^-$}; \particle( 1, 0) node[anchor=-170,inner sep=4pt] {$\PGr^+$}; \particle(-1/2,-1) node[anchor=60,inner sep=4pt] {K$^{*-}$}; \particle( 1/2,-1) node[anchor=150,inner sep=3pt] {$\bar{K}^{*0}$}; \particle(90:0.05) node[anchor=-100,inner sep=4pt] {$\PGr^0$}; \particle(210:0.05) node[anchor=45,inner sep=3pt] {$\PGo$}; \particle(330:0.05) node[anchor=140,inner sep=3pt] {$\PGf$}; \end{tikzpicture}} % end loop % VECTOR MESON OCTET / NONET (offset axes, quarks) % https://commons.wikimedia.org/wiki/File:Meson-octet-small.svg \foreach \xs [evaluate=\xs] in {2/sqrt(3)}{ % loop over xscale \begin{tikzpicture}[scale=1.7,x={\xs cm},y=1cm] \message{^^JPseudoscalar meson octet (xs = \xs)} \computeParameters % AXES & GRID \def\Qoffset{-1.8} \drawFullGrid \drawSAxis \drawIAxis \drawQAxis % OCTAGON \draw[myblue,very thick] (1,0) -- (1/2,-1) -- (-1/2,-1) -- (-1,0) -- (-1/2,1) -- (1/2,1) -- cycle; % MESONS \mesonNode(-1/2, 1) {\PM{d}{u}} node[pname=0,anchor=-50] at (P.130) {K$^{*0}$}; \mesonNode( 1/2, 1) {\PM{d}{u}} node[pname=1.5,anchor=-150] at (P.30) {K$^{*+}$}; \mesonNode(-1, 0) {\PM{d}{u}} node[pname=-1,anchor=-60] at (P.120) {$\PGr^-$}; \mesonNode( 1, 0) {\PM{d}{u}} node[pname=1,anchor=-140] at (P.40) {$\PGr^+$};r \mesonNode(-1/2,-1) {\PM{d}{u}} node[pname,anchor=40] at (P.-140) {K$^{*-}$}; \mesonNode( 1/2,-1) {\PM{d}{u}} node[pname,anchor=154] at (P.-26) {$\bar{K}^{*0}$}; \node[particle=25pt] (P) at (0,0) {} node[pname=1.2,anchor=-100] at (P.70) {$\PGr^0$} node[pname=0.8,anchor=45] at (P.-145) {$\PGo$} node[pname=0.0,anchor=145] at (P.-35) {$\PGf$}; \node[myred,scale=0.9,anchor=-68,inner sep=1.9pt] at (P) {\PM{d}{d}}; \node[myred,scale=0.9,anchor=40,inner sep=0.3pt] at (P) {\PM{u}{u}}; \node[myred,scale=0.9,anchor=172,inner sep=2.7pt] at (P) {\PM{s}{s}}; \end{tikzpicture}} % end loop % BARYON OCTET \foreach \xs [evaluate=\xs] in {2/sqrt(3)}{ % loop over xscale \begin{tikzpicture}[scale=1.8,x={\xs cm},y=1cm] \message{^^J^^JBaryon octet (xs = \xs)} \computeParameters % AXES & GRID \drawGrid{-1} \drawAxisBaryonOctet % OCTAGON \drawBaryonOctagon % BARYONS \particle(-1/2, 0) node[anchor=-70,inner sep=4pt] {n$^0$}; \particle( 1/2, 0) node[anchor=-140,inner sep=3pt] {p$^+$}; \particle(-1, -1) node[anchor=-20,inner sep=2pt] {$\Sigma^-$}; \particle({$(60:0.09)+(0,-1)$}) node[anchor=-130,inner sep=3pt] {$\Sigma^0$}; \particle({$(-120:0.09)+(0,-1)$}) node[anchor=60,inner sep=3pt] {$\Lambda^0$}; \particle( 1, -1) node[anchor=-160,inner sep=4pt] {$\Sigma^+$}; \particle(-1/2,-2) node[anchor=50,inner sep=2pt] {$\Xi^-$}; \particle( 1/2,-2) node[anchor=140,inner sep=2pt] {$\Xi^0$}; \end{tikzpicture}} % end loop % PSEUDOSCALAR BARYON OCTET (offset axes) \foreach \xs [evaluate=\xs] in {2/sqrt(3)}{ % loop over xscale \begin{tikzpicture}[scale=1.7,x={\xs cm},y=1cm] \message{^^J^^JBaryon octet (xs = \xs), offset} \computeParameters % AXES & GRID \def\Smin{-2} \def\Smax{0} % S axis limits \def\Imin{-1} \def\Imax{1} % I3 axis limits \def\Qmin{-1} \def\Qmax{1} % Q axis limits \drawFullGrid \drawSAxis \drawIAxis \drawQAxis % OCTAGON \draw[myblue,very thick] (1,-1) -- (1/2,-2) -- (-1/2,-2) -- (-1,-1) -- (-1/2,0) -- (1/2,0) -- cycle; % BARYONS \particle(-1/2, 0) node[anchor=-70,inner sep=4pt] {n$^0$}; \particle( 1/2, 0) node[anchor=-140,inner sep=3pt] {p$^+$}; \particle(-1, -1) node[anchor=-10,inner sep=3pt] {$\Sigma^-$}; \particle({$(60:0.05)+(0,-1)$}) node[anchor=-120,inner sep=4pt] {$\Sigma^0$}; \particle({$(-120:0.05)+(0,-1)$}) node[anchor=80,inner sep=4pt] {$\Lambda^0$}; \particle( 1, -1) node[anchor=-170,inner sep=4pt] {$\Sigma^+$}; \particle(-1/2,-2) node[anchor=50,inner sep=2pt] {$\Xi^-$}; \particle( 1/2,-2) node[anchor=140,inner sep=2pt] {$\Xi^0$}; \end{tikzpicture}} % end loop % PSEUDOSCALAR BARYON OCTET (offset axes) \foreach \xs [evaluate=\xs] in {2/sqrt(3)}{ % loop over xscale \begin{tikzpicture}[scale=1.7,x={\xs cm},y=1cm] \message{^^J^^JBaryon octet (xs = \xs), offset} \computeParameters % AXES & GRID \def\Smin{-2} \def\Smax{0} % S axis limits \def\Imin{-1} \def\Imax{1} % I3 axis limits \def\Qmin{-1} \def\Qmax{1} % Q axis limits \def\Qoffset{-1.8} \drawFullGrid \drawSAxis \drawIAxis \drawQAxis % OCTAGON \draw[myblue,very thick] (1,-1) -- (1/2,-2) -- (-1/2,-2) -- (-1,-1) -- (-1/2,0) -- (1/2,0) -- cycle; % BARYONS \baryonNode(-1/2, 0) {dd\\u} node[pname=0,anchor=-70] at (P.120) {n$^0$}; \baryonNode( 1/2, 0) {uu\\d} node[pname=1,anchor=-130] at (P.40) {p$^+$}; \baryonNode(-1, -1) {dd\\d} node[pname=-1,anchor=-50] at (P.140) {$\Sigma^-$}; \baryonNode( 0, -1) {ud\\s} node[pname=2,anchor=-120] at (P.50) {$\Sigma^0$} node[pname=0,anchor=40] at (P.-120) {$\Lambda^0$}; \baryonNode( 1, -1) {uu\\s} node[pname=1,anchor=-140] at (P.30) {$\Sigma^+$}; \baryonNode(-1/2,-2) {ds\\s} node[pname=-1,anchor=30] at (P.-150) {$\Xi^-$}; \baryonNode( 1/2,-2) {us\\s} node[pname,anchor=150] at (P.-30) {$\Xi^0$}; \end{tikzpicture}} % end loop % BARYON DECUPLET \foreach \xs [evaluate=\xs] in {2/sqrt(3)}{ % loop over xscale \begin{tikzpicture}[scale=1.8,x={\xs cm},y=1cm] \message{^^J^^JBaryon decuplet (xs = \xs)} \computeParameters % AXES & GRID \drawGridBaryonTriangle \drawAxisBaryonDecuplet % TRIANGLE \drawBaryonTriangle % BARYONS \particle(-3/2, 0) node[anchor=-110,inner sep=4pt] {$\Delta^-$}; \particle(-1/2, 0) node[anchor=-100,inner sep=4pt] {$\Delta^0$}; \particle( 1/2, 0) node[anchor=-115,inner sep=4pt] {$\Delta^+$}; \particle( 3/2, 0) node[anchor=-80,inner sep=4pt] {$\Delta^{++}$}; \particle(-1, -1) node[anchor=25,inner sep=1pt] {$\Sigma^{*-}$}; \particle( 0, -1) node[anchor=-136,inner sep=5pt] {$\Sigma^{*0}$}; \particle( 1, -1) node[anchor=160,inner sep=4pt] {$\Sigma^{*+}$}; \particle(-1/2,-2) node[anchor=25,inner sep=1pt] {$\Xi^{*-}$}; \particle( 1/2,-2) node[anchor=160,inner sep=4pt] {$\Xi^{*0}$}; \particle( 0, -3) node[anchor=160,inner sep=4pt] {$\Omega^-$}; \end{tikzpicture}} % end loop % BARYON DECUPLET (offset axes) \foreach \xs [evaluate=\xs] in {2/sqrt(3)}{ % loop over xscale \begin{tikzpicture}[scale=1.7,x={\xs cm},y=1cm] \message{^^J^^JBaryon decuplet (xs = \xs)} \computeParameters % AXES & GRID \def\Smin{-3} \def\Smax{0} % S axis limits \def\Imin{-1.5} \def\Imax{1.5} % I3 axis limits \def\Qmin{-1} \def\Qmax{2} % Q axis limits \def\Qoffset{-2.45} \drawFullGrid \drawSAxis \drawIAxis \drawQAxis % OCTAGON \draw[myblue,very thick] (-3/2,0) -- (3/2,0) -- (0,-3) -- cycle; % BARYONS \particle(-3/2, 0) node[anchor=-90,inner sep=4pt] {$\Delta^-$}; \particle(-1/2, 0) node[anchor=-100,inner sep=4pt] {$\Delta^0$}; \particle( 1/2, 0) node[anchor=-115,inner sep=4pt] {$\Delta^+$}; \particle( 3/2, 0) node[anchor=-120,inner sep=4pt] {$\Delta^{++}$}; \particle(-1, -1) node[anchor=25,inner sep=1pt] {$\Sigma^{*-}$}; \particle( 0, -1) node[anchor=120,inner sep=3pt] {$\Sigma^0$}; \particle( 1, -1) node[anchor=160,inner sep=4pt] {$\Sigma^{*+}$}; \particle(-1/2,-2) node[anchor=25,inner sep=1pt] {$\Xi^{*-}$}; \particle( 1/2,-2) node[anchor=160,inner sep=4pt] {$\Xi^{*0}$}; \particle( 0, -3) node[anchor=110,inner sep=4pt] {$\Omega^-$}; \end{tikzpicture}} % end loop % BARYON DECUPLET (offset axes) \foreach \xs [evaluate=\xs] in {2/sqrt(3)}{ % loop over xscale \begin{tikzpicture}[scale=1.7,x={\xs cm},y=1cm] \message{^^J^^JBaryon decuplet (xs = \xs)} \computeParameters % AXES & GRID \def\Smin{-3} \def\Smax{0} % S axis limits \def\Imin{-1.5} \def\Imax{1.5} % I3 axis limits \def\Qmin{-1} \def\Qmax{2} % Q axis limits \def\Qoffset{-2.45} \drawFullGrid \drawSAxis \drawIAxis \drawQAxis % OCTAGON \draw[myblue,very thick] (-3/2,0) -- (3/2,0) -- (0,-3) -- cycle; % BARYONS \baryonNode(-3/2, 0) {dd\\d} node[pname,anchor=-60] at (P.130) {$\Delta^-$}; \baryonNode(-1/2, 0) {dd\\u} node[pname,anchor=-60] at (P.130) {$\Delta^0$}; \baryonNode( 1/2, 0) {uu\\d} node[pname=1,anchor=-145] at (P.40) {$\Delta^+$}; \baryonNode( 3/2, 0) {uu\\u} node[pname=2,anchor=-150] at (P.30) {$\Delta^{++}$}; \baryonNode(-1, -1) {dd\\s} node[pname,anchor=20] at (P.-160) {$\Sigma^{*-}$}; \baryonNode( 0, -1) {ud\\s} node[pname,anchor=160] at (P.-30) {$\Sigma^0$}; \baryonNode( 1, -1) {uu\\s} node[pname,anchor=160] at (P.-20) {$\Sigma^{*+}$}; \baryonNode(-1/2,-2) {ds\\s} node[pname,anchor=20] at (P.-160) {$\Xi^{*-}$}; \baryonNode( 1/2,-2) {us\\s} node[pname,anchor=160] at (P.-20) {$\Xi^{*0}$}; \baryonNode( 0, -3) {ss\\s} node[pname,anchor=60] at (P.-120) {$\Omega^-$}; \end{tikzpicture}} % end loop \end{document}
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