Sunday, November 4, 2012

1211.0134 (M. Alvioli et al.)

Universality of nucleon-nucleon short-range correlations: nucleon
momentum distributions and their spin-isospin dependence
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M. Alvioli, C. Ciofi degli Atti, L. P. Kaptari, C. B. Mezzetti, H. Morita
The nucleon momentum distribution n_A(k) for A=2, 3, 4, 16, and 40 nuclei is systematically analyzed in terms of wave functions resulting from advanced solutions of the non-relativistic Schr\"{o}dinger equation, obtained within different many-body approaches and different realistic nucleon-nucleon (NN) interactions. In order to analyze and understand the frequently addressed question concerning the relationships between the nucleus, n_A(k), and the deuteron, n_D(k), momentum distributions, the spin(S)-isospin (T) structure of few-nucleon systems and complex nuclei is analyzed in terms of realistic NN interactions and many-body approaches. To this end the number of NN pairs in agiven (ST) state, viz. (ST)=(10), (00), (01), and (11), and the contribution of these states to the nucleon momentum distributions, are calculated. It is shown that, apart from the (00) state which has very small effects, all other spin-isospin states contribute to the momentum distribution in a wide range of momenta. It is shown that the T=0 and T=1 momentum distributions at k\gtrsim 1.5-2 fm^{-1} exhibit, independently of A, very similar behaviors, which represents another evidence of the universal character of SRC. The ratio n_A(k)/n_D(k) is analyzed in detail stressing that in the SRC region it always increases with the momentum and the origin of such an increase is discussed and elucidated. The relationships between the one- and two-body momentum distributions, considered in a previous paper, are discussed and clarified, pointing out the relevant role played by the center-of-mass motion of a correlated pair in the (10) state. Eventually, the values of the the probability of high momentum components in nuclei and the per nucleon probability a_2 of deuteron-like configurations in nuclei are calculated and critically discussed.
View original: http://arxiv.org/abs/1211.0134

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