Effects of consistent and inconsistent isobar coupling in the nuclear medium

Details Effects of consistent and inconsistent isobar coupling in the nuclear medium Effects of consistent and inconsistent isobar coupling in the nuclear medium

2011-12-19

arxiv.org/abs/1112.4265v1

Physics

Nuclear Physics

Nuclear Theory

9 pages, 6 figures

Scientific paper

We investigate effects of consistent (conserving the number of degrees of freedom) and inconsistent pion-nucleon-isobar couplings on the isobar propagator in vacuum and in nuclear medium. Using the consistent coupling in conjunction with a convenient basis leads to significant simplification of the isobar vacuum and in-medium self energy and dressed propagator compared to the case of inconsistent interaction. The higher-derivative nature of the consistent interaction requires a suitable compensation by an additional form-factor term or adjustment in the used cut-off values. This modification is straightforward to perform and assures that the physical observables connected to the spin-3/2 sector in vacuum and nuclear medium acquire values indistinguishable from the ones obtained by using an inconsistent coupling.

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