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- W1971851188 abstract "We study integrable cases of the pairing BCS Hamiltonians containing several types of fermions and possessing non-uniform coupling constants. We prove that there exist three classes of such the integrable models associated with “Z2-graded” non-skew-symmetric classical r-matrices with spectral parameters and Lie algebras gl(2m), sp(2m) and so(2m), respectively. The proposed models are higher rank generalizations of the so-called “px+ipy” one-type fermion (m=1) BCS model. In the partial case of two types of fermions (m=2) the obtained models may be interpreted as N=Z, “px+ipy” proton–neutron integrable models. In particular, in the case of sp(4) we obtain the “px+ipy”-analogue of the famous integrable proton–neutron model of Richardson. We find the spectrum of the constructed Hamiltonians in terms of solutions of Bethe-type equations." @default.
- W1971851188 created "2016-06-24" @default.
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- W1971851188 date "2012-11-01" @default.
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- W1971851188 title "Non-skew-symmetric classical r -matrices and integrable “<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msub><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>i</mml:mi><mml:msub><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:math>” proton–neutron BCS models" @default.
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- W1971851188 doi "https://doi.org/10.1016/j.nuclphysb.2012.06.020" @default.
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