Speaker
Dr
Alvaro Calle Cordon
(Jefferson Lab)
Description
In analogy with atomic physics and using the quiral quark model we derive a Nucleon-Nucleon (NN) potential in the Born-Oppenheimer approximation at second order in perturbation theory where the
$\Delta$ resonance is included implicitly [1,2]. This NN potential
turns out to be singular at short distances with a van der Waals like
behavior and hence needs to be renormalized. In fact, the short distance behavior is identical to the one of Chiral Two-Pion-Exchange (ChTPE) potentials [3,4] being moreover the mid-range attraction for both schemes very similar to each other. This provides a simpler alternative to the widely used ChTPE potentials where NN properties can be calculated. We show results for central waves and the deuteron and then the correlation between different partial waves [5] is applied to obtain higher partial waves phase shifts with a lower number of counter-terms and a better description in general. We also calculate the electromagnetic (EM) form factors of the deuteron and finally the possible implications for Nuclear Physics are analyzed.
[1] Renormalization and Universality of NN interactions in Chiral
Quark and Soliton Models. E. Ruiz Arriola and A. Calle Cordon,
e-Print: arXiv:0910.1333 [hep-ph]
[2] Renormalization of spin-flavor van der Waals forces. A. Calle
Cordon and E. Ruiz Arriola (in preparation)
[3] Peripheral NN scattering: Role of delta excitation, correlated two
pion and vector meson exchange. Norbert Kaiser, S. Gerstendorfer,
W. Weise. Nucl.Phys.A637:395-420,1998.
[4] Nuclear forces with Delta-excitations up to
next-to-next-to-leading order. I. Peripheral nucleon-nucleon
waves. Hermann Krebs, Evgeny Epelbaum,
Ulf-G. Meissner. Eur.Phys.J.A32:127-137,2007.
[5] Renormalization of chiral two pion exchange NN interactions with
Delta-excitations: Correlations in the partial wave
expansion. M. Pavon Valderrama, E. Ruiz Arriola. e-Print:
arXiv:1005.0744 [nucl-th]
Primary author
Dr
Alvaro Calle Cordon
(Jefferson Lab)
Co-author
Prof.
Enrique Ruiz Arriola
(University of Granada)
