Precise study of triply charmed baryons <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi mathvariant="normal">Ω</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>c</mml:mi> <mml:mi>c</mml:mi> <

We present the most precise results for the ground state mass of the triply-charmed spin- <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mn>3</a:mn> <a:mo>/</a:mo> <a:mn>2</a:mn> </a:math> baryon using lattice quantum chromodynamics. The calculations are performed on six <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:msub> <c:mi>N</c:mi> <c:mi>f</c:mi> </c:msub> <c:mo>=</c:mo> <c:mn>2</c:mn> <c:mo>+</c:mo> <c:mn>1</c:mn> <c:mo>+</c:mo> <c:mn>1</c:mn> </c:math> highly improved staggered quark (HISQ) lattice ensembles generated by the MILC collaboration. Two different lattice setups are employed: in the first one, a fully dynamical calculation with HISQ action is performed, while in the second calculation, an overlap action is utilized for the valence charm quark dynamics. Following the continuum extrapolation of our results, obtained at five different lattice spacings, two different volumes, and two different actions, our prediction for the mass of the lowest triply charmed spin- <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:mrow> <e:mn>3</e:mn> <e:mo>/</e:mo> <e:mn>2</e:mn> </e:mrow> </e:math> baryon, <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:mrow> <g:msub> <g:mrow> <g:mi mathvariant="normal">Ω</g:mi> </g:mrow> <g:mrow> <g:mi>c</g:mi> <g:mi>c</g:mi> <g:mi>c</g:mi> </g:mrow> </g:msub> <g:mo stretchy="false">(</g:mo> <g:mn>3</g:mn> <g:mo>/</g:mo> <g:msup> <g:mrow> <g:mn>2</g:mn> </g:mrow> <g:mrow> <g:mo>+</g:mo> </g:mrow> </g:msup> <g:mo stretchy="false">)</g:mo> </g:mrow> </g:math> , is <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"> <l:mrow> <l:mn>4793</l:mn> <l:mo stretchy="false">(</l:mo> <l:mn>5</l:mn> <l:mo stretchy="false">)</l:mo> <l:msubsup> <l:mrow> <l:mo stretchy="false">(</l:mo> </l:mrow> <l:mrow> <l:mo>−</l:mo> <l:mn>8</l:mn> </l:mrow> <l:mrow> <l:mo>+</l:mo> <l:mn>11</l:mn> </l:mrow> </l:msubsup> <l:mo stretchy="false">)</l:mo> <l:mtext> </l:mtext> <l:mtext> </l:mtext> <l:mi>MeV</l:mi> </l:mrow> </l:math> . This is the most precise determination to date, fully addressing the systematic uncertainties. We also predict the <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"> <r:mrow> <r:msub> <r:mrow> <r:mi mathvariant="normal">Ω</r:mi> </r:mrow> <r:mrow> <r:mi>c</r:mi> <r:mi>c</r:mi> <r:mi>c</r:mi> </r:mrow> </r:msub> <r:mo stretchy="false">(</r:mo> <r:mn>3</r:mn> <r:mo>/</r:mo> <r:msup> <r:mrow> <r:mn>2</r:mn> </r:mrow> <r:mrow> <r:mo>−</r:mo> </r:mrow> </r:msup> <r:mo stretchy="false">)</r:mo> </r:mrow> </r:math> mass to be <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"> <w:mrow> <w:mn>5094</w:mn> <w:mo stretchy="false">(</w:mo> <w:mn>12</w:mn> <w:mo stretchy="false">)</w:mo> <w:msubsup> <w:mrow> <w:mo stretchy="false">(</w:mo> </w:mrow> <w:mrow> <w:mo>−</w:mo> <w:mn>17</w:mn> </w:mrow> <w:mrow> <w:mo>+</w:mo> <w:mn>19</w:mn> </w:mrow> </w:msubsup> <w:mo stretchy="false">)</w:mo> <w:mtext> </w:mtext> <w:mtext> </w:mtext> <w:mi>MeV</w:mi> </w:mrow> </w:math> .