A recent solution of the hyperon puzzle by a first order phase transition to color superconducting quark matter is revisited in order to replace the Maxwell construction by an interpolation method which describes a mixed phase. To do this, we apply for the first time the finite-range polynomial interpolation method for constructing a transition between hadronic and quark matter phases to the situation that is characterized in the literature as the reconfinement problem. For the description of the hadronic phase the lowest order constrained variational method is used while for the quark phase the nonlocal Nambu–Jona–Lasinio model with constant and with density-dependent parameters is employed. Applying the replacement interpolation method to both quark matter models results in a hybrid equation of state that allows a coexistence of nuclear matter, hypernuclear matter and quark matter in a mixed phase between the pure hadronic and quark phases which can also be realized in the str...

中文翻译：

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满足中子星质量半径约束的从超核物质到限定的夸克物质的混合相变

再次讨论了通过一阶相变到彩色超导夸克物质的超子难题的最新解决方案，以通过描述混合相的插值方法代替麦克斯韦构造。为此，我们首次应用了有限范围多项式插值方法来构造强子相和夸克相之间的过渡到文献中称为再约束问题的情况。对于强子相的描述，使用最低阶约束变分方法，而对于夸克相，则使用具有常数且依赖于密度的参数的非局部Nambu–Jona–Lasinio模型。将替换插值方法应用于两个夸克物质模型会产生一个混合状态方程，该方程允许核物质共存，