Production of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi>X</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mn>3872</mml:mn> <mml:mo stretchy="false">)</mml:mo> </mml:math> state via the <mml:math xmlns:mm

In this work the production of the state <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>X</a:mi> <a:mo stretchy="false">(</a:mo> <a:mn>3872</a:mn> <a:mo stretchy="false">)</a:mo> </a:math> is estimated via the reaction <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:msup> <e:mi>B</e:mi> <e:mn>0</e:mn> </e:msup> <e:mo stretchy="false">→</e:mo> <e:msup> <e:mi>K</e:mi> <e:mrow> <e:mo>*</e:mo> <e:mn>0</e:mn> </e:mrow> </e:msup> <e:mi>X</e:mi> <e:mo stretchy="false">(</e:mo> <e:mn>3872</e:mn> <e:mo stretchy="false">)</e:mo> </e:math> through triangle mechanisms described by the sequence <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"> <j:msup> <j:mi>B</j:mi> <j:mn>0</j:mn> </j:msup> <j:mo stretchy="false">→</j:mo> <j:msubsup> <j:mi>D</j:mi> <j:mi>s</j:mi> <j:mrow> <j:mo stretchy="false">(</j:mo> <j:mo>*</j:mo> <j:mo stretchy="false">)</j:mo> <j:mo>+</j:mo> </j:mrow> </j:msubsup> <j:mo stretchy="false">(</j:mo> <j:mo stretchy="false">→</j:mo> <j:msup> <j:mi>K</j:mi> <j:mrow> <j:mo>*</j:mo> <j:mn>0</j:mn> </j:mrow> </j:msup> <j:msup> <j:mi>D</j:mi> <j:mrow> <j:mo stretchy="false">(</j:mo> <j:mo>*</j:mo> <j:mo stretchy="false">)</j:mo> <j:mo>+</j:mo> </j:mrow> </j:msup> <j:mo stretchy="false">)</j:mo> <j:msup> <j:mi>D</j:mi> <j:mrow> <j:mo stretchy="false">(</j:mo> <j:mo>*</j:mo> <j:mo stretchy="false">)</j:mo> <j:mo>−</j:mo> </j:mrow> </j:msup> <j:mo stretchy="false">→</j:mo> <j:msup> <j:mi>K</j:mi> <j:mrow> <j:mo>*</j:mo> <j:mn>0</j:mn> </j:mrow> </j:msup> <j:mo stretchy="false">(</j:mo> <j:msup> <j:mi>D</j:mi> <j:mrow> <j:mo stretchy="false">(</j:mo> <j:mo>*</j:mo> <j:mo stretchy="false">)</j:mo> <j:mo>+</j:mo> </j:mrow> </j:msup> <j:msup> <j:mi>D</j:mi> <j:mrow> <j:mo stretchy="false">(</j:mo> <j:mo>*</j:mo> <j:mo stretchy="false">)</j:mo> <j:mo>−</j:mo> </j:mrow> </j:msup> <j:mo stretchy="false">)</j:mo> <j:mo stretchy="false">→</j:mo> <j:mspace linebreak="goodbreak"/> <j:msup> <j:mi>K</j:mi> <j:mrow> <j:mo>*</j:mo> <j:mn>0</j:mn> </j:mrow> </j:msup> <j:mi>X</j:mi> <j:mo stretchy="false">(</j:mo> <j:mn>3872</j:mn> <j:mo stretchy="false">)</j:mo> </j:math> . The molecular configuration <gb:math xmlns:gb="http://www.w3.org/1998/Math/MathML" display="inline"> <gb:mo stretchy="false">(</gb:mo> <gb:mi>D</gb:mi> <gb:msup> <gb:mover accent="true"> <gb:mi>D</gb:mi> <gb:mo stretchy="false">¯</gb:mo> </gb:mover> <gb:mo>*</gb:mo> </gb:msup> <gb:mo>−</gb:mo> <gb:mi mathvariant="normal">c</gb:mi> <gb:mo>.</gb:mo> <gb:mi mathvariant="normal">c</gb:mi> <gb:mo>.</gb:mo> <gb:mo stretchy="false">)</gb:mo> </gb:math> of the <ob:math xmlns:ob="http://www.w3.org/1998/Math/MathML" display="inline"> <ob:mi>X</ob:mi> <ob:mo stretchy="false">(</ob:mo> <ob:mn>3872</ob:mn> <ob:mo stretchy="false">)</ob:mo> </ob:math> is considered. By means of the effective Lagrangian approach, the branching ratio <sb:math xmlns:sb="http://www.w3.org/1998/Math/MathML" display="inline"> <sb:mi mathvariant="script">B</sb:mi> <sb:mo stretchy="false">(</sb:mo> <sb:msup> <sb:mi>B</sb:mi> <sb:mn>0</sb:mn> </sb:msup> <sb:mo stretchy="false">→</sb:mo> <sb:msup> <sb:mi>K</sb:mi> <sb:mrow> <sb:mo>*</sb:mo> <sb:mn>0</sb:mn> </sb:mrow> </sb:msup> <sb:mi>X</sb:mi> <sb:mo stretchy="false">(</sb:mo> <sb:mn>3872</sb:mn> <sb:mo stretchy="false">)</sb:mo> <sb:mo stretchy="false">)</sb:mo> </sb:math> is calculated as a function of the strength of the coupling of the charged components <ac:math xmlns:ac="http://www.w3.org/1998/Math/MathML" display="inline"> <ac:mo stretchy="false">(</ac:mo> <ac:msup> <ac:mi>D</ac:mi> <ac:mo>+</ac:mo> </ac:msup> <ac:msup> <ac:mover accent="true"> <ac:mi>D</ac:mi> <ac:mo stretchy="false">¯</ac:mo> </ac:mover> <ac:mrow> <ac:mo>*</ac:mo> <ac:mo>−</ac:mo> </ac:mrow> </ac:msup> <ac:mo>−</ac:mo> <ac:mi mathvariant="normal">c</ac:mi> <ac:mo>.</ac:mo> <ac:mi mathvariant="normal">c</ac:mi> <ac:mo>.</ac:mo> <ac:mo stretchy="false">)</ac:mo> </ac:math> to the <ic:math xmlns:ic="http://www.w3.org/1998/Math/MathML" display="inline"> <ic:mi>X</ic:mi> <ic:mo stretchy="false">(</ic:mo> <ic:mn>3872</ic:mn> <ic:mo stretchy="false">)</ic:mo> </ic:math> and compared with experimental data. Besides, employing the decay <mc:math xmlns:mc="http://www.w3.org/1998/Math/MathML" display="inline"> <mc:msup> <mc:mi>B</mc:mi> <mc:mn>0</mc:mn> </mc:msup> <mc:mo stretchy="false">→</mc:mo> <mc:msup> <mc:mi>K</mc:mi> <mc:mrow> <mc:mo>*</mc:mo> <mc:mn>0</mc:mn> </mc:mrow> </mc:msup> <mc:mi>ψ</mc:mi> <mc:mo stretchy="false">(</mc:mo> <mc:mn>2</mc:mn> <mc:mi>S</mc:mi> <mc:mo stretchy="false">)</mc:mo> </mc:math> as a normalization channel, the ratio of branching fractions <rc:math xmlns:rc="http://www.w3.org/1998/Math/MathML" display="inline"> <rc:mi>R</rc:mi> <rc:mo>=</rc:mo> <rc:mfrac> <rc:mrow> <rc:mi mathvariant="script">B</rc:mi> <rc:mo stretchy="false">(</rc:mo> <rc:msup> <rc:mi>B</rc:mi>