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Covariant multipole expansion of local currents for massive states of any spin

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arxiv 1912.08749 v2 pith:MI3B6TDK submitted 2019-12-18 hep-ph hep-thnucl-th

Sabrina Cotogno , Cédric Lorcé , Peter Lowdon , Manuel Morales This is my paper
classification hep-phhep-thnucl-th
keywords spincurrentscovariantexpansionidentifylocalmassivenumber
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study the structure of scalar, vector, and tensor currents for on-shell massive particles of any spin. When considering higher values for the spin of the particle, the number of form factors (FFs) involved in the decomposition of the matrix elements associated with these local currents increases. We identify all the fundamental structures that give rise to the independent FFs, systematically for any spin value. These structures can be conveniently organised using an expansion in covariant multipoles, built solely from the Lorentz generators. This approach allows one to uniquely identify the terms which are universal and those that arise because of spin. We derive counting rules which relate the number of FFs to the total spin $j$ of the state, showing explicitly that these rules match all the well-known cases up to spin 2.

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Cited by 4 Pith papers

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    Spacelike electromagnetic form factors of Σc and Λc are computed in a covariant quark-diquark model, finding compact charge distributions and a charm-quark-dominated magnetic form factor for Λc.

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