3 years ago

# The LOCV asymmetric nuclear matter two-body density distributions versus those of FHNC

Azar Tafrihi
The theoretical computations of the electron–nucleus scattering can be improved, by employing the asymmetric nuclear matter $( A S M )$ two-body density distributions $( T B D D )$. But, due to the sophistications of the calculations, the $T B D D$ with arbitrary $i s o s p i n$ asymmetry have not yet been computed in the Fermi $H y p e r n e t t e d$ Chain $( F H N C )$ or the Monte Carlo $( M C )$ approaches. So, in the present work, we intend to find the $A S M$ $T B D D$, in the states with $i s o s p i n$ $T$, spin $S$ and spin projection $S z$, in the Lowest Order Constrained Variational ($L O C V$) method. It is demonstrated that, at small relative distances, independent of the proton to neutron ratio $β$, the state-dependent $T B D D$ have a universal shape. Expectedly, it is observed that, at low (high) $β$ values, the nucleons prefer to make a pair in the $T = 1 ( 0 )$ states. In addition, the strength of the tensor-dependent correlations is investigated, using the ratio of the $T B D D$ in the $T S S z = 010$ state with $θ = π ∕ 2$ and that of $θ = 0$. The mentioned ratios peak at $r ∼ 0 . 9 f m$, considering different $β$ values. It is hoped that, the present results could help a better reproduction of the experimental data of the electron–nucleus scattering.

DOI: S0003491618300587

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