2026/03/31 by Anonymous, Manato Sakai, Yasuhiro Yamaguchi
Physics and Astronomy · Engineering · #Quantum Chromodynamics and Particle Interactions #High-Energy Particle Collisions Research #Muon and positron interactions and applications
paper · pdf · doi:10.1103/wqsq-rft1
The doubly charmed tetraquark <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:msub> <a:mi>T</a:mi> <a:mrow> <a:mi>c</a:mi> <a:mi>c</a:mi> </a:mrow> </a:msub> </a:math> was reported by the LHCb experiment in 2022 and a lot of theoretical studies have been conducted. The small binding energy measured from the <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:msup> <c:mi>D</c:mi> <c:mrow> <c:mo>*</c:mo> <c:mo>+</c:mo> </c:mrow> </c:msup> <c:msup> <c:mi>D</c:mi> <c:mn>0</c:mn> </c:msup> </c:math> threshold indicates that <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:msub> <e:mi>T</e:mi> <e:mrow> <e:mi>c</e:mi> <e:mi>c</e:mi> </e:mrow> </e:msub> </e:math> is a <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:mi>D</g:mi> <g:msup> <g:mi>D</g:mi> <g:mo>*</g:mo> </g:msup> </g:math> molecule. On the other hand, the superflavor symmetry, which relates heavy antiquarks to heavy diquarks, provides a useful framework for predicting the existence of partner exotic hadrons associated with <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:msub> <i:mi>T</i:mi> <i:mrow> <i:mi>c</i:mi> <i:mi>c</i:mi> </i:mrow> </i:msub> </i:math> . By replacing <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"> <k:msup> <k:mover accent="true"> <k:mi>D</k:mi> <k:mo stretchy="false">¯</k:mo> </k:mover> <k:mrow> <k:mo stretchy="false">(</k:mo> <k:mo>*</k:mo> <k:mo stretchy="false">)</k:mo> </k:mrow> </k:msup> </k:math> with <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"> <q:msubsup> <q:mi mathvariant="normal">Ξ</q:mi> <q:mrow> <q:mi>c</q:mi> <q:mi>c</q:mi> </q:mrow> <q:mrow> <q:mo stretchy="false">(</q:mo> <q:mo>*</q:mo> <q:mo stretchy="false">)</q:mo> </q:mrow> </q:msubsup> </q:math> within this symmetry, <v:math xmlns:v="http://www.w3.org/1998/Math/MathML" display="inline"> <v:msup> <v:mover accent="true"> <v:mi>D</v:mi> <v:mo stretchy="false">¯</v:mo> </v:mover> <v:mrow> <v:mo stretchy="false">(</v:mo> <v:mo>*</v:mo> <v:mo stretchy="false">)</v:mo> </v:mrow> </v:msup> <v:msubsup> <v:mi mathvariant="normal">Ξ</v:mi> <v:mrow> <v:mi>c</v:mi> <v:mi>c</v:mi> </v:mrow> <v:mrow> <v:mo stretchy="false">(</v:mo> <v:mo>*</v:mo> <v:mo stretchy="false">)</v:mo> </v:mrow> </v:msubsup> </v:math> and <eb:math xmlns:eb="http://www.w3.org/1998/Math/MathML" display="inline"> <eb:msubsup> <eb:mi mathvariant="normal">Ξ</eb:mi> <eb:mrow> <eb:mi>c</eb:mi> <eb:mi>c</eb:mi> </eb:mrow> <eb:mrow> <eb:mo stretchy="false">(</eb:mo> <eb:mo>*</eb:mo> <eb:mo stretchy="false">)</eb:mo> </eb:mrow> </eb:msubsup> <eb:msubsup> <eb:mi mathvariant="normal">Ξ</eb:mi> <eb:mrow> <eb:mi>c</eb:mi> <eb:mi>c</eb:mi> </eb:mrow> <eb:mrow> <eb:mo stretchy="false">(</eb:mo> <eb:mo>*</eb:mo> <eb:mo stretchy="false">)</eb:mo> </eb:mrow> </eb:msubsup> </eb:math> are expected to form partner structures of <mb:math xmlns:mb="http://www.w3.org/1998/Math/MathML" display="inline"> <mb:msub> <mb:mi>T</mb:mi> <mb:mrow> <mb:mi>c</mb:mi> <mb:mi>c</mb:mi> </mb:mrow> </mb:msub> </mb:math> . In this paper, we investigate bound and resonant states of <ob:math xmlns:ob="http://www.w3.org/1998/Math/MathML" display="inline"> <ob:msup> <ob:mover accent="true"> <ob:mi>D</ob:mi> <ob:mo stretchy="false">¯</ob:mo> </ob:mover> <ob:mrow> <ob:mo stretchy="false">(</ob:mo> <ob:mo>*</ob:mo> <ob:mo stretchy="false">)</ob:mo> </ob:mrow> </ob:msup> <ob:msubsup> <ob:mi mathvariant="normal">Ξ</ob:mi> <ob:mrow> <ob:mi>c</ob:mi> <ob:mi>c</ob:mi> </ob:mrow> <ob:mrow> <ob:mo stretchy="false">(</ob:mo> <ob:mo>*</ob:mo> <ob:mo stretchy="false">)</ob:mo> </ob:mrow> </ob:msubsup> </ob:math> and <xb:math xmlns:xb="http://www.w3.org/1998/Math/MathML" display="inline"> <xb:msubsup> <xb:mi mathvariant="normal">Ξ</xb:mi> <xb:mrow> <xb:mi>c</xb:mi> <xb:mi>c</xb:mi> </xb:mrow> <xb:mrow> <xb:mo stretchy="false">(</xb:mo> <xb:mo>*</xb:mo> <xb:mo stretchy="false">)</xb:mo> </xb:mrow> </xb:msubsup> <xb:msubsup> <xb:mi mathvariant="normal">Ξ</xb:mi> <xb:mrow> <xb:mi>c</xb:mi> <xb:mi>c</xb:mi> </xb:mrow> <xb:mrow> <xb:mo stretchy="false">(</xb:mo> <xb:mo>*</xb:mo> <xb:mo stretchy="false">)</xb:mo> </xb:mrow> </xb:msubsup> </xb:math> based on the one boson exchange potential, where <fc:math xmlns:fc="http://www.w3.org/1998/Math/MathML" display="inline"> <fc:mi>π</fc:mi> </fc:math> , <hc:math xmlns:hc="http://www.w3.org/1998/Math/MathML" display="inline"> <hc:mi>ρ</hc:mi> </hc:math> , <jc:math xmlns:jc="http://www.w3.org/1998/Math/MathML" display="inline"> <jc:mi>ω</jc:mi> </jc:math> , and <lc:math xmlns:lc="http://www.w3.org/1998/Math/MathML" display="inline"> <lc:mi>σ</lc:mi> </lc:math> are considered as bosons. The cutoff parameter and the coupling constants for <nc:math xmlns:nc="http://www.w3.org/1998/Math/MathML" display="inline"> <nc:msup> <nc:mover accent="true"> <nc:mi>D</nc:mi>