Using <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mo stretchy="false">(</a:mo><a:mn>10.087</a:mn><a:mo>±</a:mo><a:mn>0.044</a:mn><a:mo stretchy="false">)</a:mo><a:mo>×</a:mo><a:msup><a:mrow><a:mn>10</a:mn></a:mrow><a:mrow><a:mn>9</a:mn></a:mrow></a:msup></a:mrow></a:math> <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mrow><e:mi>J</e:mi><e:mo>/</e:mo><e:mi>ψ</e:mi></e:mrow></e:math> events collected with the BESIII detector at the BEPCII storage ring, the processes <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mi mathvariant="normal">Λ</g:mi><g:mi>p</g:mi><g:mo stretchy="false">→</g:mo><g:mi mathvariant="normal">Λ</g:mi><g:mi>p</g:mi></g:math> and <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"><l:mover accent="true"><l:mi mathvariant="normal">Λ</l:mi><l:mo stretchy="false">¯</l:mo></l:mover><l:mi>p</l:mi><l:mo stretchy="false">→</l:mo><l:mover accent="true"><l:mi mathvariant="normal">Λ</l:mi><l:mo stretchy="false">¯</l:mo></l:mover><l:mi>p</l:mi></l:math> are studied, where the <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"><u:mi mathvariant="normal">Λ</u:mi><u:mo>/</u:mo><u:mover accent="true"><u:mi mathvariant="normal">Λ</u:mi><u:mo stretchy="false">¯</u:mo></u:mover></u:math> baryons are produced in the process <ab:math xmlns:ab="http://www.w3.org/1998/Math/MathML" display="inline"><ab:mi>J</ab:mi><ab:mo>/</ab:mo><ab:mi>ψ</ab:mi><ab:mo stretchy="false">→</ab:mo><ab:mi mathvariant="normal">Λ</ab:mi><ab:mover accent="true"><ab:mi mathvariant="normal">Λ</ab:mi><ab:mo stretchy="false">¯</ab:mo></ab:mover></ab:math> and the protons are the hydrogen nuclei in the cooling oil of the beam pipe. Clear signals are observed for the two reactions. The cross sections in <hb:math xmlns:hb="http://www.w3.org/1998/Math/MathML" display="inline"><hb:mrow><hb:mo>−</hb:mo><hb:mn>0.9</hb:mn><hb:mo>≤</hb:mo><hb:mi>cos</hb:mi><hb:msub><hb:mrow><hb:mi>θ</hb:mi></hb:mrow><hb:mrow><hb:mi mathvariant="normal">Λ</hb:mi><hb:mo>/</hb:mo><hb:mover accent="true"><hb:mrow><hb:mi mathvariant="normal">Λ</hb:mi></hb:mrow><hb:mrow><hb:mo stretchy="false">¯</hb:mo></hb:mrow></hb:mover></hb:mrow></hb:msub><hb:mo>≤</hb:mo><hb:mn>0.9</hb:mn></hb:mrow></hb:math> are measured to be <nb:math xmlns:nb="http://www.w3.org/1998/Math/MathML" display="inline"><nb:mrow><nb:mi>σ</nb:mi><nb:mo stretchy="false">(</nb:mo><nb:mi mathvariant="normal">Λ</nb:mi><nb:mi>p</nb:mi><nb:mo stretchy="false">→</nb:mo><nb:mi mathvariant="normal">Λ</nb:mi><nb:mi>p</nb:mi><nb:mo stretchy="false">)</nb:mo><nb:mo>=</nb:mo><nb:mo stretchy="false">(</nb:mo><nb:mn>12.2</nb:mn><nb:mo>±</nb:mo><nb:msub><nb:mrow><nb:mn>1.6</nb:mn></nb:mrow><nb:mrow><nb:mi>stat</nb:mi></nb:mrow></nb:msub><nb:mo>±</nb:mo><nb:msub><nb:mrow><nb:mn>1.1</nb:mn></nb:mrow><nb:mrow><nb:mi>syst</nb:mi></nb:mrow></nb:msub><nb:mo stretchy="false">)</nb:mo></nb:mrow></nb:math> and <wb:math xmlns:wb="http://www.w3.org/1998/Math/MathML" display="inline"><wb:mrow><wb:mi>σ</wb:mi><wb:mo stretchy="false">(</wb:mo><wb:mover accent="true"><wb:mrow><wb:mi mathvariant="normal">Λ</wb:mi></wb:mrow><wb:mrow><wb:mo stretchy="false">¯</wb:mo></wb:mrow></wb:mover><wb:mi>p</wb:mi><wb:mo stretchy="false">→</wb:mo><wb:mover accent="true"><wb:mrow><wb:mi mathvariant="normal">Λ</wb:mi></wb:mrow><wb:mrow><wb:mo stretchy="false">¯</wb:mo></wb:mrow></wb:mover><wb:mi>p</wb:mi><wb:mo stretchy="false">)</wb:mo><wb:mo>=</wb:mo><wb:mo stretchy="false">(</wb:mo><wb:mn>17.5</wb:mn><wb:mo>±</wb:mo><wb:msub><wb:mrow><wb:mn>2.1</wb:mn></wb:mrow><wb:mrow><wb:mi>stat</wb:mi></wb:mrow></wb:msub><wb:mo>±</wb:mo><wb:msub><wb:mrow><wb:mn>1.6</wb:mn></wb:mrow><wb:mrow><wb:mi>syst</wb:mi></wb:mrow></wb:msub><wb:mo stretchy="false">)</wb:mo><wb:mtext> </wb:mtext><wb:mtext> </wb:mtext><wb:mi>mb</wb:mi></wb:mrow></wb:math> at the <jc:math xmlns:jc="http://www.w3.org/1998/Math/MathML" display="inline"><jc:mi mathvariant="normal">Λ</jc:mi><jc:mo>/</jc:mo><jc:mover accent="true"><jc:mi mathvariant="normal">Λ</jc:mi><jc:mo stretchy="false">¯</jc:mo></jc:mover></jc:math> momentum of <pc:math xmlns:pc="http://www.w3.org/1998/Math/MathML" display="inline"><pc:mrow><pc:mn>1.074</pc:mn><pc:mtext> </pc:mtext><pc:mtext> </pc:mtext><pc:mi>GeV</pc:mi><pc:mo>/</pc:mo><pc:mi>c</pc:mi></pc:mrow></pc:math> within a range of <rc:math xmlns:rc="http://www.w3.org/1998/Math/MathML" display="inline"><rc:mrow><rc:mo>±</rc:mo><rc:mn>0.017</rc:mn><rc:mtext> </rc:mtext><rc:mtext> </rc:mtext><rc:mi>GeV</rc:mi><rc:mo>/</rc:mo><rc:mi>c</rc:mi></rc:mrow></rc:math>, where the <tc:math xmlns:tc="http://www.w3.org/1998/Math/MathML" display="inline"><tc:msub><tc:mi>θ</tc:mi><tc:mrow><tc:mi mathvariant="normal">Λ</tc:mi><tc:mo>/</tc:mo><tc:mover accent="true"><tc:mi mathvariant="normal">Λ</tc:mi><tc:mo stretchy="false">¯</tc:mo></tc:mover></tc:mrow></tc:msub></tc:math> are the scattering angles of the <zc:math xmlns:zc="http://www.w3.org/1998/Math/MathML" display="inline"><zc:mi mathvariant="normal">Λ</zc:mi><zc:mo>/</zc:mo><zc:mover accent="true"><zc:mi mathvariant="normal">Λ</zc:mi><zc:mo stretchy="false">¯</zc:mo></zc:mover></zc:math> in the <fd:math xmlns:fd="http://www.w3.org/1998/Math/MathML" display="inline"><fd:mi mathvariant="normal">Λ</fd:mi><fd:mi>p</fd:mi><fd:mo>/</fd:mo><fd:mover accent="true"><fd:mi mathvariant="normal">Λ</fd:mi><fd:mo stretchy="false">¯</fd:mo></fd:mover><fd:mi>p</fd:mi></fd:math> rest frames. Furthermore, the differential cross sections of the two reactions are also measured, where there is a slight tendency of forward scattering for <ld:math xmlns:ld="http://www.w3.org/1998/Math/MathML" display="inline"><ld:mi mathvariant="normal">Λ</ld:mi><ld:mi>p</ld:mi><ld:mo stretchy="false">→</ld:mo><ld:mi mathvariant="normal">Λ</ld:mi><ld:mi>p</ld:mi></ld:math>, and a strong forward peak for <qd:math xmlns:qd="http://www.w3.org/1998/Math/MathML" display="inline"><qd:mover accent="true"><qd:mi mathvariant="normal">Λ</qd:mi><qd:mo stretchy="false">¯</qd:mo></qd:mover><qd:mi>p</qd:mi><qd:mo stretchy="false">→</qd:mo><qd:mover accent="true"><qd:mi mathvariant="normal">Λ</qd:mi><qd:mo stretchy="false">¯</qd:mo></qd:mover><qd:mi>p</qd:mi></qd:math>. We present an approach to extract the total elastic cross sections by extrapolation. The study of <zd:math xmlns:zd="http://www.w3.org/1998/Math/MathML" display="inline"><zd:mover accent="true"><zd:mi mathvariant="normal">Λ</zd:mi><zd:mo stretchy="false">¯</zd:mo></zd:mover><zd:mi>p</zd:mi><zd:mo stretchy="false">→</zd:mo><zd:mover accent="true"><zd:mi mathvariant="normal">Λ</zd:mi><zd:mo stretchy="false">¯</zd:mo></zd:mover><zd:mi>p</zd:mi></zd:math> represents the first study of antihyperon-nucleon scattering, and these new measurements will serve as important inputs for the theoretical understanding of the (anti)hyperon-nucleon interaction. Published by the American Physical Society 2024
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