Short-range correlations and momentum distributions in light nuclei

Since the precise solution can be obtained for a four-nucleon system, 4He, the system can be a testing ground of nuclear interactions and an ideal nucleus to study many-nucleon correlations. We perform an ab initio calculation for 4He using the explicitly correlated Gaussian expansion of the wave function [1] and discuss its correlated structure in the ground state as well as in excited four-nucleon states from various viewpoints. We extract density and momentum density distributions from highly correlated wave function and discuss a role of short-range two-body interaction [2]. As a theoretical interest, we translate the short-range correlations in a language of the harmonic-oscillator wave function which is widely employed in shell model calculations [3]. We discuss how the many-body correlations appear in the momentum distributions from the viewpoint of the effective nuclear interaction [4].

 

References

[1] J. Mitroy et al., Rev. Mod. Phys. 85, 693 (2013).

[2] H. Feldmeier, W. Horiuchi, T. Neff, and Y. Suzuki, Phys. Rev. C 84, 054003 (2011).

[3] W. Horiuchi and Y. Suzuki, Phys. Rev. C 90, 034001 (2014).

[4] T. Neff, H. Feldmeier, W. Horiuchi, Phys. Rev C 92, 024003 (2015).