著者

Aoki Sinya Balog Janos Weisz Peter

出版者

Springer

雑誌

Journal of high energy physics (ISSN:10298479)

巻号頁・発行日

vol.2010, no.5, pp.8, 2010-05

被引用文献数

11 17

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We investigate the short distance behavior of nucleon-nucleon (NN) potentials defined through Bethe-Salpeter wave functions, by perturbatively calculating anomalous dimensions of 6-quark operators in QCD. Thanks to the asymptotic freedom of QCD, 1-loop computations give certain exact results for the potentials in the zero distance limit. In particular the functional form of the S-state central NN potential at short distance r is predicted to be a little weaker than r −2. On the other hand, due to the intriguing character of the anomalous dimension spectrum, perturbative considerations alone can not determine whether this potential is repulsive or attractive at short distances. A crude estimation suggests that the force at short distance is repulsive, as found numerically in lattice QCD. A similar behavior is found for the tensor potential.

著者

Aoki Sinya Balog Janos Weisz Peter

出版者

Springer

雑誌

Journal of high energy physics (ISSN:10298479)

巻号頁・発行日

no.9, pp.83, 2010-09

被引用文献数

7 13

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The short distance behavior of baryon-baryon potentials defined throughNambu-Bethe-Salpeter wave functions is investigated using the operator product expansion.In a previous analysis of the nucleon-nucleon case, corresponding to the SU(3) channels27s and 10a, we argued that the potentials have a repulsive core. A new feature occursfor the case of baryons made up of three flavors: manifestly asymptotically attractive potentialsappear in the singlet and octet channels. Attraction in the singlet channel wasfirst indicated by quark model considerations, and recently been found in numerical latticesimulations. The latter have however not yet revealed asymptotic attraction in the octetchannels; we give a speculative explanation for this apparent discrepancy.