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• W4310368197 abstract "Abstract A detailed analysis on the structural properties of first three ro-vibrational ( J = 0, ν = 0, 1, 2; J and ν being the rotational and vibrational quantum numbers, respectively) states of <?CDATA ${{rm{H}}}_{2}^{+}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:msubsup> <mml:mrow> <mml:mi mathvariant=normal>H</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> </mml:mrow> </mml:msubsup> </mml:math> ion bound via screened Coulomb interaction has been reported. Generalized Hylleraas type basis set has been considered to construct the trial wave function under the Ritz variational framework. In order to incorporate the localized relative motion of the protons (or nuclei), we have used high powers of the interprotonic (or internuclear) distance in the basis set. The Borromean binding regime or the Borromean window (BW) has been identified for the said three states of <?CDATA ${{rm{H}}}_{2}^{+}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:msubsup> <mml:mrow> <mml:mi mathvariant=normal>H</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> </mml:mrow> </mml:msubsup> </mml:math> ion. The energy components contributing to the total energy are estimated as a parametric function of the screening parameter. Different geometrical entities e.g. radial moments <?CDATA $langle {r}_{i}^{p}rangle $?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mo stretchy=false>〈</mml:mo> <mml:msubsup> <mml:mrow> <mml:mi>r</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>i</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>p</mml:mi> </mml:mrow> </mml:msubsup> <mml:mo stretchy=false>〉</mml:mo> </mml:math> ( p = − 1, 1 and 2), angular moments <?CDATA $langle cos {theta }_{i}rangle $?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mo stretchy=false>〈</mml:mo> <mml:mi>cos</mml:mi> <mml:msub> <mml:mrow> <mml:mi>θ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>i</mml:mi> </mml:mrow> </mml:msub> <mml:mo stretchy=false>〉</mml:mo> </mml:math> [( i ) = (1) or (12)], expectation value of the delta function <?CDATA $delta ({vec{r}}_{1})$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi>δ</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:msub> <mml:mrow> <mml:mover accent=true> <mml:mrow> <mml:mi>r</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>⃗</mml:mo> </mml:mrow> </mml:mover> </mml:mrow> <mml:mrow> <mml:mn>1</mml:mn> </mml:mrow> </mml:msub> <mml:mo stretchy=false>)</mml:mo> </mml:math> as well as the one-particle density are determined to get a clear view of the structural behaviour of <?CDATA ${{rm{H}}}_{2}^{+}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:msubsup> <mml:mrow> <mml:mi mathvariant=normal>H</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> </mml:mrow> </mml:msubsup> </mml:math> ion in its ground state as well as in the excited states, specially within the BW." @default.
• W4310368197 created "2022-12-09" @default.
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• W4310368197 date "2022-12-20" @default.
• W4310368197 modified "2023-09-29" @default.
• W4310368197 title "Structural analysis of the ro-vibrational states of screened hydrogen molecular ion H2+ in the regime of Borromean binding" @default.
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• W4310368197 doi "https://doi.org/10.1088/1402-4896/aca729" @default.
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