Medium modifications of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mn>1</mml:mn> <mml:mi>P</mml:mi> </mml:math> -wave charmonia <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msub>

In this work, we employ the quark-meson coupling model to investigate the mass shifts of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mn>1</a:mn> <a:mi>P</a:mi> </a:math> -wave charmonia <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:msub> <c:mi>χ</c:mi> <c:mrow> <c:mi>c</c:mi> <c:mi>J</c:mi> </c:mrow> </c:msub> <c:mo stretchy="false">(</c:mo> <c:mn>1</c:mn> <c:mi>P</c:mi> <c:mo stretchy="false">)</c:mo> </c:math> ( <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:mi>J</g:mi> <g:mo>=</g:mo> <g:mn>0</g:mn> </g:math> , 1, 2) in cold symmetric nuclear matter by incorporating in-medium loop contributions to the <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:msub> <i:mi>χ</i:mi> <i:mrow> <i:mi>c</i:mi> <i:mi>J</i:mi> </i:mrow> </i:msub> <i:mo stretchy="false">(</i:mo> <i:mn>1</i:mn> <i:mi>P</i:mi> <i:mo stretchy="false">)</i:mo> </i:math> self-energy within the unquenched picture. At normal nuclear matter density, we obtain significant mass reductions of about 60 MeV for the <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"> <m:msub> <m:mi>χ</m:mi> <m:mrow> <m:mi>c</m:mi> <m:mi>J</m:mi> </m:mrow> </m:msub> <m:mo stretchy="false">(</m:mo> <m:mn>1</m:mn> <m:mi>P</m:mi> <m:mo stretchy="false">)</m:mo> </m:math> states, with the <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"> <q:msub> <q:mi>χ</q:mi> <q:mrow> <q:mi>c</q:mi> <q:mn>2</q:mn> </q:mrow> </q:msub> <q:mo stretchy="false">(</q:mo> <q:mn>1</q:mn> <q:mi>P</q:mi> <q:mo stretchy="false">)</q:mo> </q:math> mass shift primarily arising from the vector-vector loop. Our results also indicate the absence of level crossing between the in-medium <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"> <u:msub> <u:mi>χ</u:mi> <u:mrow> <u:mi>c</u:mi> <u:mi>J</u:mi> </u:mrow> </u:msub> <u:mo stretchy="false">(</u:mo> <u:mn>1</u:mn> <u:mi>P</u:mi> <u:mo stretchy="false">)</u:mo> </u:math> mass and the <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"> <y:mi>D</y:mi> <y:mover accent="true"> <y:mi>D</y:mi> <y:mo stretchy="false">¯</y:mo> </y:mover> </y:math> mass threshold up to <cb:math xmlns:cb="http://www.w3.org/1998/Math/MathML" display="inline"> <cb:msub> <cb:mi>ρ</cb:mi> <cb:mi>B</cb:mi> </cb:msub> <cb:mo>&lt;</cb:mo> <cb:mn>3</cb:mn> <cb:msub> <cb:mi>ρ</cb:mi> <cb:mn>0</cb:mn> </cb:msub> </cb:math> —a feature that could be probed in the compressed baryonic matter experiment at FAIR and the beam energy scan program at RHIC.