Fully heavy tetraquark resonant states with different flavors

Abstract

We use the quark potential model to calculate the mass spectrum of the S-wave fully heavy tetraquark systems with different flavors, including the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>b</a:mi> <a:mi>c</a:mi> <a:mover accent="true"> <a:mi>b</a:mi> <a:mo stretchy="false">¯</a:mo> </a:mover> <a:mover accent="true"> <a:mi>c</a:mi> <a:mo stretchy="false">¯</a:mo> </a:mover> <a:mo>,</a:mo> <a:mi>b</a:mi> <a:mi>b</a:mi> <a:mover accent="true"> <a:mi>c</a:mi> <a:mo stretchy="false">¯</a:mo> </a:mover> <a:mover accent="true"> <a:mi>c</a:mi> <a:mo stretchy="false">¯</a:mo> </a:mover> <a:mo>,</a:mo> <a:mi>c</a:mi> <a:mi>c</a:mi> <a:mover accent="true"> <a:mi>c</a:mi> <a:mo stretchy="false">¯</a:mo> </a:mover> <a:mover accent="true"> <a:mi>b</a:mi> <a:mo stretchy="false">¯</a:mo> </a:mover> </a:math> , and <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"> <o:mi>b</o:mi> <o:mi>b</o:mi> <o:mover accent="true"> <o:mi>b</o:mi> <o:mo stretchy="false">¯</o:mo> </o:mover> <o:mover accent="true"> <o:mi>c</o:mi> <o:mo stretchy="false">¯</o:mo> </o:mover> </o:math> systems. We employ the Gaussian expansion method to solve the four-body Schrödinger equation, and the complex scaling method to identify resonant states. The <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"> <u:mi>b</u:mi> <u:mi>c</u:mi> <u:mover accent="true"> <u:mi>b</u:mi> <u:mo stretchy="false">¯</u:mo> </u:mover> <u:mover accent="true"> <u:mi>c</u:mi> <u:mo stretchy="false">¯</u:mo> </u:mover> <u:mo>,</u:mo> <u:mi>b</u:mi> <u:mi>b</u:mi> <u:mover accent="true"> <u:mi>c</u:mi> <u:mo stretchy="false">¯</u:mo> </u:mover> <u:mover accent="true"> <u:mi>c</u:mi> <u:mo stretchy="false">¯</u:mo> </u:mover> <u:mo>,</u:mo> <u:mi>c</u:mi> <u:mi>c</u:mi> <u:mover accent="true"> <u:mi>c</u:mi> <u:mo stretchy="false">¯</u:mo> </u:mover> <u:mover accent="true"> <u:mi>b</u:mi> <u:mo stretchy="false">¯</u:mo> </u:mover> </u:math> , and <ib:math xmlns:ib="http://www.w3.org/1998/Math/MathML" display="inline"> <ib:mi>b</ib:mi> <ib:mi>b</ib:mi> <ib:mover accent="true"> <ib:mi>b</ib:mi> <ib:mo stretchy="false">¯</ib:mo> </ib:mover> <ib:mover accent="true"> <ib:mi>c</ib:mi> <ib:mo stretchy="false">¯</ib:mo> </ib:mover> </ib:math> resonant states are obtained in the mass regions of (13.2, 13.5), (13.3, 13.6), (10.0, 10.3), (16.5, 16.7) GeV, respectively. Among these states, the <ob:math xmlns:ob="http://www.w3.org/1998/Math/MathML" display="inline"> <ob:mi>b</ob:mi> <ob:mi>c</ob:mi> <ob:mover accent="true"> <ob:mi>b</ob:mi> <ob:mo stretchy="false">¯</ob:mo> </ob:mover> <ob:mover accent="true"> <ob:mi>c</ob:mi> <ob:mo stretchy="false">¯</ob:mo> </ob:mover> </ob:math> tetraquark states are the most promising ones to be discovered in the near future. We recommend the experimental exploration of the <ub:math xmlns:ub="http://www.w3.org/1998/Math/MathML" display="inline"> <ub:msup> <ub:mn>1</ub:mn> <ub:mrow> <ub:mo>+</ub:mo> <ub:mo>+</ub:mo> </ub:mrow> </ub:msup> </ub:math> and <wb:math xmlns:wb="http://www.w3.org/1998/Math/MathML" display="inline"> <wb:mrow> <wb:msup> <wb:mrow> <wb:mn>2</wb:mn> </wb:mrow> <wb:mrow> <wb:mo>+</wb:mo> <wb:mo>+</wb:mo> </wb:mrow> </wb:msup> <wb:mtext> </wb:mtext> <wb:mi>b</wb:mi> <wb:mi>c</wb:mi> <wb:mover accent="true"> <wb:mrow> <wb:mi>b</wb:mi> </wb:mrow> <wb:mrow> <wb:mo stretchy="false">¯</wb:mo> </wb:mrow> </wb:mover> <wb:mover accent="true"> <wb:mrow> <wb:mi>c</wb:mi> </wb:mrow> <wb:mrow> <wb:mo stretchy="false">¯</wb:mo> </wb:mrow> </wb:mover> </wb:mrow> </wb:math> states with masses near 13.3 GeV in the <cc:math xmlns:cc="http://www.w3.org/1998/Math/MathML" display="inline"> <cc:mi>J</cc:mi> <cc:mo>/</cc:mo> <cc:mi>ψ</cc:mi> <cc:mi mathvariant="normal">ϒ</cc:mi> </cc:math> channel. From the root-mean-square radii, we find that all the resonant states we have identified are compact tetraquark states. Published by the American Physical Society 2024

Topics & Concepts