Hadronic Molecule Interpretation of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"> <a:msubsup> <a:mrow> <a:mi>T</a:mi> </a:mrow> <a:mrow> <a:mi>c</a:mi> <a:mi>c</a:mi> </a:mrow> <a:mrow> <a:mo>+</a:mo> </a:mrow> </a:msubsup> </a:math> and Its Beauty Partners

Abstract

Motivated by the latest discovery of a new tetraquark <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M2"> <a:msubsup> <a:mrow> <a:mi>T</a:mi> </a:mrow> <a:mrow> <a:mi>c</a:mi> <a:mi>c</a:mi> </a:mrow> <a:mrow> <a:mo>+</a:mo> </a:mrow> </a:msubsup> </a:math> with two charm quarks and two light antiquarks by LHCb Collaboration, we investigated the <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" id="M3"> <c:mi>D</c:mi> <c:msup> <c:mrow> <c:mi>D</c:mi> </c:mrow> <c:mrow> <c:mo>∗</c:mo> </c:mrow> </c:msup> </c:math> hadronic molecule interpretation of <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" id="M4"> <e:msubsup> <e:mrow> <e:mi>T</e:mi> </e:mrow> <e:mrow> <e:mi>c</e:mi> <e:mi>c</e:mi> </e:mrow> <e:mrow> <e:mo>+</e:mo> </e:mrow> </e:msubsup> </e:math> . By calculation, the mass and the decay width of this new structure <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" id="M5"> <g:msubsup> <g:mrow> <g:mi>T</g:mi> </g:mrow> <g:mrow> <g:mi>c</g:mi> <g:mi>c</g:mi> </g:mrow> <g:mrow> <g:mo>+</g:mo> </g:mrow> </g:msubsup> </g:math> can be understood in one-meson exchange potential model. The binding energies for these <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" id="M6"> <i:mi>D</i:mi> <i:msup> <i:mrow> <i:mi>D</i:mi> </i:mrow> <i:mrow> <i:mo>∗</i:mo> </i:mrow> </i:msup> </i:math> hadronic molecules with <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" id="M7"> <k:msup> <k:mrow> <k:mi>J</k:mi> </k:mrow> <k:mrow> <k:mi>P</k:mi> </k:mrow> </k:msup> <k:mo>=</k:mo> <k:msup> <k:mrow> <k:mn>1</k:mn> </k:mrow> <k:mrow> <k:mo>+</k:mo> </k:mrow> </k:msup> </k:math> are around 1 MeV. Besides, we also studied the possible beauty partners <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" id="M8"> <m:msub> <m:mrow> <m:mi>T</m:mi> </m:mrow> <m:mrow> <m:mi>b</m:mi> <m:mi>b</m:mi> </m:mrow> </m:msub> <m:mfenced open="(" close=")"> <m:mrow> <m:mn>10598</m:mn> </m:mrow> </m:mfenced> </m:math> of hadronic molecule <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" id="M9"> <q:msubsup> <q:mrow> <q:mi>T</q:mi> </q:mrow> <q:mrow> <q:mi>c</q:mi> <q:mi>c</q:mi> </q:mrow> <q:mrow> <q:mo>+</q:mo> </q:mrow> </q:msubsup> </q:math> , which may be feasible in future LHCb experiments.

Topics & Concepts