M1 radiative and spin-nonflip ππ transitions of Bc states in the Cornell potential model

In this paper, we mainly predict the rates of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>M</a:mi><a:mn>1</a:mn></a:math> radiative and spin-nonflip <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>π</c:mi><c:mi>π</c:mi></c:math> transitions of the <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msub><e:mi>B</e:mi><e:mi>c</e:mi></e:msub></e:math>-meson under the nonrelativistic Cornell potential model with a screening potential effect. We employ the numerical wave function to determine the <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mi>M</g:mi><g:mn>1</g:mn></g:math> radiative transition widths of <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:msub><i:mi>B</i:mi><i:mi>c</i:mi></i:msub></i:math> excited states and utilize the Kuang-Yan proposed method for the spin-nonflip <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:mi>π</k:mi><k:mi>π</k:mi></k:math> transitions among <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:msub><m:mi>B</m:mi><m:mi>c</m:mi></m:msub></m:math> states. Our theoretical results are valuable for studying the <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:mi>M</o:mi><o:mn>1</o:mn></o:math> radiative and spin-nonflip <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:mi>π</q:mi><q:mi>π</q:mi></q:math> transition processes of <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"><s:msub><s:mi>B</s:mi><s:mi>c</s:mi></s:msub></s:math> states in experiments.