Nucleon-Quark Diquark-exchange Interaction

Fuente: arXiv
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Main Author: Rijken, Th. A.
Format: Preprint
Published: 2025
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author Rijken, Th. A.
author_facet Rijken, Th. A.
contents In this note the nucleon-quark diquark-exchange interaction is derived using the Feynman-propagator for axial-vector diquark (D) exchange. The Feynman diquark propagator is derived and the result is a (-)-sign difference w.r.t. quark-antiquark exchange. This is due to the (-)-sign for a closed fermion loop, present in for example vector and axial-vector quark-antiquark exchange, but absent in the case of D-exchange. The calculations in these notes follow closely those for vacuum polarisation in the literature. Taking into account that the diquark D is a color $\left{\bar{3}_c\right\}$-state giving a factor +2. The result is an effective axial-vector diquark propagator. Application to $QN \rightarrow NQ$ gives a repulsive potential, which has been used in mixed nuclear-quark matter calculation.
format Preprint
id arxiv_https___arxiv_org_abs_2506_22079
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nucleon-Quark Diquark-exchange Interaction
Rijken, Th. A.
Nuclear Theory
High Energy Physics - Phenomenology
In this note the nucleon-quark diquark-exchange interaction is derived using the Feynman-propagator for axial-vector diquark (D) exchange. The Feynman diquark propagator is derived and the result is a (-)-sign difference w.r.t. quark-antiquark exchange. This is due to the (-)-sign for a closed fermion loop, present in for example vector and axial-vector quark-antiquark exchange, but absent in the case of D-exchange. The calculations in these notes follow closely those for vacuum polarisation in the literature. Taking into account that the diquark D is a color $\left{\bar{3}_c\right\}$-state giving a factor +2. The result is an effective axial-vector diquark propagator. Application to $QN \rightarrow NQ$ gives a repulsive potential, which has been used in mixed nuclear-quark matter calculation.
title Nucleon-Quark Diquark-exchange Interaction
topic Nuclear Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2506.22079