<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msub> <mml:mi mathvariant="normal">Λ</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mo stretchy="false">(</mml:mo> <mml:mn>2910</mml:mn> <mml:mo stretchy="false">)</mml:mo>

In this work, we investigate the productions of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:msub> <a:mi mathvariant="normal">Λ</a:mi> <a:mi>c</a:mi> </a:msub> <a:mo stretchy="false">(</a:mo> <a:mn>2910</a:mn> <a:mo stretchy="false">)</a:mo> </a:math> and <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"> <f:msub> <f:mi mathvariant="normal">Λ</f:mi> <f:mi>c</f:mi> </f:msub> <f:mo stretchy="false">(</f:mo> <f:mn>2940</f:mn> <f:mo stretchy="false">)</f:mo> </f:math> in the <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"> <k:mrow> <k:mi>p</k:mi> <k:mover accent="true"> <k:mrow> <k:mi>p</k:mi> </k:mrow> <k:mrow> <k:mo stretchy="false">¯</k:mo> </k:mrow> </k:mover> <k:mo stretchy="false">→</k:mo> <k:msub> <k:mrow> <k:mover accent="true"> <k:mrow> <k:mi mathvariant="normal">Λ</k:mi> </k:mrow> <k:mrow> <k:mo stretchy="false">¯</k:mo> </k:mrow> </k:mover> </k:mrow> <k:mrow> <k:mi>c</k:mi> </k:mrow> </k:msub> <k:msup> <k:mrow> <k:mi>D</k:mi> </k:mrow> <k:mrow> <k:mn>0</k:mn> </k:mrow> </k:msup> <k:mi>p</k:mi> </k:mrow> </k:math> process by utilizing an effective Lagrangian approach, where both <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"> <s:msub> <s:mi mathvariant="normal">Λ</s:mi> <s:mi>c</s:mi> </s:msub> <s:mo stretchy="false">(</s:mo> <s:mn>2910</s:mn> <s:mo stretchy="false">)</s:mo> </s:math> and <x:math xmlns:x="http://www.w3.org/1998/Math/MathML" display="inline"> <x:msub> <x:mi mathvariant="normal">Λ</x:mi> <x:mi>c</x:mi> </x:msub> <x:mo stretchy="false">(</x:mo> <x:mn>2940</x:mn> <x:mo stretchy="false">)</x:mo> </x:math> are considered as <cb:math xmlns:cb="http://www.w3.org/1998/Math/MathML" display="inline"> <cb:msup> <cb:mi>D</cb:mi> <cb:mo>*</cb:mo> </cb:msup> <cb:mi>N</cb:mi> </cb:math> molecular states with <eb:math xmlns:eb="http://www.w3.org/1998/Math/MathML" display="inline"> <eb:msup> <eb:mi>J</eb:mi> <eb:mi>P</eb:mi> </eb:msup> <eb:mo>=</eb:mo> <eb:mn>1</eb:mn> <eb:mo>/</eb:mo> <eb:msup> <eb:mn>2</eb:mn> <eb:mo>−</eb:mo> </eb:msup> </eb:math> and <gb:math xmlns:gb="http://www.w3.org/1998/Math/MathML" display="inline"> <gb:mn>3</gb:mn> <gb:mo>/</gb:mo> <gb:msup> <gb:mn>2</gb:mn> <gb:mo>−</gb:mo> </gb:msup> </gb:math> , respectively. In addition to the <ib:math xmlns:ib="http://www.w3.org/1998/Math/MathML" display="inline"> <ib:mi>t</ib:mi> </ib:math> -channel <kb:math xmlns:kb="http://www.w3.org/1998/Math/MathML" display="inline"> <kb:mi>D</kb:mi> </kb:math> and <mb:math xmlns:mb="http://www.w3.org/1998/Math/MathML" display="inline"> <mb:msup> <mb:mi>D</mb:mi> <mb:mo>*</mb:mo> </mb:msup> </mb:math> exchanges, the contribution from light-meson exchange is also considered. At <ob:math xmlns:ob="http://www.w3.org/1998/Math/MathML" display="inline"> <ob:msqrt> <ob:mi>s</ob:mi> </ob:msqrt> <ob:mo>=</ob:mo> <ob:mn>10</ob:mn> <ob:mtext> </ob:mtext> <ob:mtext> </ob:mtext> <ob:mi>GeV</ob:mi> </ob:math> , our estimations indicate that the total cross sections for <qb:math xmlns:qb="http://www.w3.org/1998/Math/MathML" display="inline"> <qb:mi>p</qb:mi> <qb:mover accent="true"> <qb:mi>p</qb:mi> <qb:mo stretchy="false">¯</qb:mo> </qb:mover> <qb:mo stretchy="false">→</qb:mo> <qb:msub> <qb:mover accent="true"> <qb:mi mathvariant="normal">Λ</qb:mi> <qb:mo stretchy="false">¯</qb:mo> </qb:mover> <qb:mi>c</qb:mi> </qb:msub> <qb:msup> <qb:mi>D</qb:mi> <qb:mn>0</qb:mn> </qb:msup> <qb:mi>p</qb:mi> </qb:math> are <yb:math xmlns:yb="http://www.w3.org/1998/Math/MathML" display="inline"> <yb:mo stretchy="false">(</yb:mo> <yb:msubsup> <yb:mn>130.7</yb:mn> <yb:mrow> <yb:mo>−</yb:mo> <yb:mn>103.9</yb:mn> </yb:mrow> <yb:mrow> <yb:mo>+</yb:mo> <yb:mn>397.1</yb:mn> </yb:mrow> </yb:msubsup> <yb:mo stretchy="false">)</yb:mo> <yb:mtext> </yb:mtext> <yb:mtext> </yb:mtext> <yb:mi>nb</yb:mi> </yb:math> , where the central value is estimated with <cc:math xmlns:cc="http://www.w3.org/1998/Math/MathML" display="inline"> <cc:msub> <cc:mi mathvariant="normal">Λ</cc:mi> <cc:mi>r</cc:mi> </cc:msub> <cc:mo>=</cc:mo> <cc:mn>1.1</cc:mn> <cc:mtext> </cc:mtext> <cc:mtext> </cc:mtext> <cc:mi>GeV</cc:mi> </cc:math> , and the uncertainties are resulted from the variation of parameter <fc:math xmlns:fc="http://www.w3.org/1998/Math/MathML" display="inline"> <fc:msub> <fc:mi mathvariant="normal">Λ</fc:mi> <fc:mi>r</fc:mi> </fc:msub> </fc:math> from 1.0 to 1.2 GeV. Our results indicate that the light-meson exchange diagrams are very important, which provide a very large, smooth background. Moreover, the estimations of the <ic:math xmlns:ic="http://www.w3.org/1998/Math/MathML" display="inline"> <ic:msup> <ic:mi>D</ic:mi> <ic:mn>0</ic:mn> </ic:msup> <ic:mi>p</ic:mi> </ic:math> invariant mass spectrum reveal that the peak structure between 2.9 and 3.0 GeV primarily originates from <kc:math xmlns:kc="http://www.w3.org/1998/Math/MathML" display="inline"> <kc:msub> <kc:mi mathvariant="normal">Λ</kc:mi> <kc:mi>c</kc:mi> </kc:msub> <kc:mo stretchy="false">(</kc:mo> <kc:mn>2910</kc:mn> <kc:mo stretchy="false">)</kc:mo> </kc:math> , while the signal of <pc:math xmlns:pc="http:/