Impact of uncertainties of unbound 10Li on the ground state of two-neutron halo 11Li

<jats:p>Recently, the energy spectrum of <jats:inline-formula><jats:alternatives><jats:tex-math>\boldsymbol{^{10}}</jats:tex-math><mml:math xmlns:mml="http://www.w3. org/1998/Math/MathML" display="inline"><mml:mstyle mathvariant="bold"><mml:msup><mml:mi /><mml:mn>10</mml:mn></mml:msup></mml:mstyle></mml:math></jats:alternatives></jats:inline-formula>Li was measured upto <jats:inline-formula><jats:alternatives><jats:tex-math>\boldsymbol{4.6}</jats:tex-math><mml:math xmlns:mml="http://www.w3. org/1998/Math/MathML" display="inline"><mml:mstyle mathvariant="bold"><mml:mn>4.6</mml:mn></mml:mstyle></mml:math></jats:alternatives></jats:inline-formula> MeV, via one-neutron transfer reaction <jats:inline-formula><jats:alternatives><jats:tex-math>\boldsymbol{d(^{9}\textrm{Li},~p)^{10}\textrm{Li}}</jats:tex-math><mml:math xmlns:mml="http://www.w3. org/1998/Math/MathML" display="inline"><mml:mstyle mathvariant="bold"><mml:mi>𝐝</mml:mi><mml:msup><mml:mo stretchy="false" form="prefix">(</mml:mo><mml:mn>9</mml:mn></mml:msup><mml:mtext mathvariant="normal">Li</mml:mtext><mml:mo>,</mml:mo><mml:mspace width="0.222em" /><mml:mi>𝐩</mml:mi><mml:msup><mml:mo stretchy="false" form="postfix">)</mml:mo><mml:mn>10</mml:mn></mml:msup><mml:mtext mathvariant="normal">Li</mml:mtext></mml:mstyle></mml:math></jats:alternatives></jats:inline-formula>. Considering the ambiguities on the <jats:inline-formula><jats:alternatives><jats:tex-math>\boldsymbol{^{10}}</jats:tex-math><mml:math xmlns:mml="http://www.w3. org/1998/Math/MathML" display="inline"><mml:mstyle mathvariant="bold"><mml:msup><mml:mi /><mml:mn>10</mml:mn></mml:msup></mml:mstyle></mml:math></jats:alternatives></jats:inline-formula>Li continuum spectrum with reference to new data, we report the configuration mixing in the ground state of the two-neutron halo nucleus <jats:inline-formula><jats:alternatives><jats:tex-math>\boldsymbol{^{11}}</jats:tex-math><mml:math xmlns:mml="http://www.w3. org/1998/Math/MathML" display="inline"><mml:mstyle mathvariant="bold"><mml:msup><mml:mi /><mml:mn>11</mml:mn></mml:msup></mml:mstyle></mml:math></jats:alternatives></jats:inline-formula>Li for two different choices of the <jats:inline-formula><jats:alternatives><jats:tex-math>\boldsymbol{^{9}{\textrm{Li}}+n}</jats:tex-math><mml:math xmlns:mml="http://www.w3. org/1998/Math/MathML" display="inline"><mml:mstyle mathvariant="bold"><mml:msup><mml:mi /><mml:mn>9</mml:mn></mml:msup><mml:mtext mathvariant="normal">Li</mml:mtext><mml:mo>+</mml:mo><mml:mi>𝐧</mml:mi></mml:mstyle></mml:math></jats:alternatives></jats:inline-formula> potential. For the present study, we employ a three-body (<jats:inline-formula><jats:alternatives><jats:tex-math>\boldsymbol{\textrm{core}+n+n}</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mstyle mathvariant="bold"><mml:mtext mathvariant="normal">core</mml:mtext><mml:mo>+</mml:mo><mml:mi>𝐧</mml:mi><mml:mo>+</mml:mo><mml:mi>𝐧</mml:mi></mml:mstyle></mml:math></jats:alternatives></jats:inline-formula>) structure model developed for describing the two-neutron halo system by explicit coupling of unbound continuum states of the subsystem (<jats:inline-formula><jats:alternatives><jats:tex-math>\boldsymbol{\textrm{core}+n}</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mstyle mathvariant="bold"><mml:mtext mathvariant="normal">core</mml:mtext><mml:mo>+</mml:mo><mml:mi>𝐧</mml:mi></mml:mstyle></mml:math></jats:alternatives></jats:inline-formula>), and discuss the two-neutron correlations in the ground state of <jats:inline-formula><jats:alternatives><jats:tex-math>\boldsymbol{^{11}}</jats:tex-math><mml:math xmlns:mml="http://www.w3. org/1998/Math/MathML" display="inline"><mml:mstyle mathvariant="bold"><mml:msup><mml:mi /><mml:mn>11</mml:mn></mml:msup></mml:mstyle></mml:math></jats:alternatives></jats:inline-formula>Li. </jats:p>