Low-lying light tetraquark states with quantum numbers <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msup> <mml:mi>J</mml:mi> <mml:mi>P</mml:mi> </mml:msup> <mml:mo>=</mml:mo> <mml:msup> <mml:mn>0</mml:mn> <mml:mo>+<

The low-lying light tetraquark states are investigated in the nonrelativistic quark model including the pseudoscalar meson exchange, where two different confinement potential schemes, the Cornell potential and the linear potential, are employed, along with the instanton-induced interaction serving as the residual spin-dependent interaction. The numerical results show agreement with masses of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:msub> <a:mi>f</a:mi> <a:mn>0</a:mn> </a:msub> <a:mo stretchy="false">(</a:mo> <a:mn>500</a:mn> <a:mo stretchy="false">)</a:mo> </a:math> , <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:msub> <e:mi>f</e:mi> <e:mn>0</e:mn> </e:msub> <e:mo stretchy="false">(</e:mo> <e:mn>1370</e:mn> <e:mo stretchy="false">)</e:mo> </e:math> , <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:msub> <i:mi>f</i:mi> <i:mn>0</i:mn> </i:msub> <i:mo stretchy="false">(</i:mo> <i:mn>1500</i:mn> <i:mo stretchy="false">)</i:mo> </i:math> , <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"> <m:msub> <m:mi>f</m:mi> <m:mn>0</m:mn> </m:msub> <m:mo stretchy="false">(</m:mo> <m:mn>2020</m:mn> <m:mo stretchy="false">)</m:mo> </m:math> , <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"> <q:msub> <q:mi>f</q:mi> <q:mn>0</q:mn> </q:msub> <q:mo stretchy="false">(</q:mo> <q:mn>2200</q:mn> <q:mo stretchy="false">)</q:mo> </q:math> , <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"> <u:msub> <u:mi>h</u:mi> <u:mn>1</u:mn> </u:msub> <u:mo stretchy="false">(</u:mo> <u:mn>1170</u:mn> <u:mo stretchy="false">)</u:mo> </u:math> , <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"> <y:msub> <y:mi>h</y:mi> <y:mn>1</y:mn> </y:msub> <y:mo stretchy="false">(</y:mo> <y:mn>1595</y:mn> <y:mo stretchy="false">)</y:mo> </y:math> , <cb:math xmlns:cb="http://www.w3.org/1998/Math/MathML" display="inline"> <cb:msub> <cb:mi>h</cb:mi> <cb:mn>1</cb:mn> </cb:msub> <cb:mo stretchy="false">(</cb:mo> <cb:mn>1900</cb:mn> <cb:mo stretchy="false">)</cb:mo> </cb:math> , <gb:math xmlns:gb="http://www.w3.org/1998/Math/MathML" display="inline"> <gb:msub> <gb:mi>h</gb:mi> <gb:mn>1</gb:mn> </gb:msub> <gb:mo stretchy="false">(</gb:mo> <gb:mn>1965</gb:mn> <gb:mo stretchy="false">)</gb:mo> </gb:math> , <kb:math xmlns:kb="http://www.w3.org/1998/Math/MathML" display="inline"> <kb:msub> <kb:mi>h</kb:mi> <kb:mn>1</kb:mn> </kb:msub> <kb:mo stretchy="false">(</kb:mo> <kb:mn>2215</kb:mn> <kb:mo stretchy="false">)</kb:mo> </kb:math> , <ob:math xmlns:ob="http://www.w3.org/1998/Math/MathML" display="inline"> <ob:msub> <ob:mi>f</ob:mi> <ob:mn>2</ob:mn> </ob:msub> <ob:mo stretchy="false">(</ob:mo> <ob:mn>1430</ob:mn> <ob:mo stretchy="false">)</ob:mo> </ob:math> , <sb:math xmlns:sb="http://www.w3.org/1998/Math/MathML" display="inline"> <sb:msub> <sb:mi>f</sb:mi> <sb:mn>2</sb:mn> </sb:msub> <sb:mo stretchy="false">(</sb:mo> <sb:mn>1640</sb:mn> <sb:mo stretchy="false">)</sb:mo> </sb:math> , <wb:math xmlns:wb="http://www.w3.org/1998/Math/MathML" display="inline"> <wb:msub> <wb:mi>f</wb:mi> <wb:mn>2</wb:mn> </wb:msub> <wb:mo stretchy="false">(</wb:mo> <wb:mn>1810</wb:mn> <wb:mo stretchy="false">)</wb:mo> </wb:math> , <ac:math xmlns:ac="http://www.w3.org/1998/Math/MathML" display="inline"> <ac:msub> <ac:mi>f</ac:mi> <ac:mn>2</ac:mn> </ac:msub> <ac:mo stretchy="false">(</ac:mo> <ac:mn>2010</ac:mn> <ac:mo stretchy="false">)</ac:mo> </ac:math> , <ec:math xmlns:ec="http://www.w3.org/1998/Math/MathML" display="inline"> <ec:msub> <ec:mi>f</ec:mi> <ec:mn>2</ec:mn> </ec:msub> <ec:mo stretchy="false">(</ec:mo> <ec:mn>2150</ec:mn> <ec:mo stretchy="false">)</ec:mo> </ec:math> , <ic:math xmlns:ic="http://www.w3.org/1998/Math/MathML" display="inline"> <ic:msub> <ic:mi>a</ic:mi> <ic:mn>0</ic:mn> </ic:msub> <ic:mo stretchy="false">(</ic:mo> <ic:mn>980</ic:mn> <ic:mo stretchy="false">)</ic:mo> </ic:math> , <mc:math xmlns:mc="http://www.w3.org/1998/Math/MathML" display="inline"> <mc:msub> <mc:mi>a</mc:mi> <mc:mn>0</mc:mn> </mc:msub> <mc:mo stretchy="false">(</mc:mo> <mc:mn>1450</mc:mn> <mc:mo stretchy="false">)</mc:mo> </mc:math> , <qc:math xmlns:qc="http://www.w3.org/1998/Math/MathML" display="inline"> <qc:msub> <qc:mi>a</qc:mi> <qc:mn>0</qc:mn> </qc:msub> <qc:mo stretchy="false">(</qc:mo> <qc:mn>1950</qc:mn> <qc:mo stretchy="false">)</qc:mo> </qc:math> , <uc:math xmlns:uc="http://www.w3.org/1998/Math/MathML" display="inline"> <uc:msub> <uc:mi>a</uc:mi> <uc:mn>1</uc:mn> </uc:msub> <uc:mo stretchy="false">(</uc:mo> <uc:mn>1260</uc:mn> <uc:mo stretchy="false">)</uc:mo> </uc:math> , <yc:math xmlns:yc="http://www.w3.org/1998/Math/MathML" display="inline"> <yc:msub> <yc:mi>a</yc:mi> <yc:mn>1</yc:mn> </yc:msub> <yc:mo stretchy="false">(</yc:mo> <yc:mn>1640</yc:mn> <yc:mo stretchy="false">)</yc:mo> </yc:math> , <cd:math xmlns:cd="http://www.w3.org/1998/Math/MathML" display="inline"> <cd:msub> <cd:mi>a</cd:mi> <cd:mn>2</cd:mn> </cd:msub> <cd:mo stretchy="false">(</cd:mo> <cd:mn>1700</cd:mn> <cd:mo stretchy="false">)</cd:mo> </cd:math> , <gd:math xmlns:gd="http://www.w3.org/1998/Math/MathML" display="inline"> <gd:msubsup> <gd:mi>K</gd:mi> <gd:mn>0</gd:mn> <gd:mo>*</gd:mo> </gd:msubsup>