Electromagnetic polarizabilities of the spin-$\frac{3}{2}$ baryons in heavy baryon chiral perturbation theory

Abstract

We employ Heavy Baryon Chiral Perturbation Theory (HB$\chi$PT), a non-relativistic effective field theory that treats baryons as heavy static sources, to calculate the electromagnetic polarizabilities of spin-3/2 baryons in two sectors: the light-flavor decuplet baryons and singly heavy sextet baryons. We derive the analytical expressions up to $\mathcal{O}\left(p^3\right)$. Our results indicate that the long-range chiral corrections provide substantial contributions to the polarizabilities. In addition, magnetic dipole (M1) transitions of the baryons can significantly affect the magnetic polarizabilities and may even reverse their signs. For the decuplet baryons, the ${\Delta }^{+}$ and ${\Delta }^0$ exhibit the largest electric polarizabilities. Their values, ${\alpha }_E({\Delta }^{+})=(17.5\pm 9.5)\times 10^{-4}{\mathrm{fm}}^3$ and ${\alpha }_E({\Delta }^0)=(17.0\pm 9.3)\times 10^{-4}{\mathrm{fm}}^3$, significantly exceed those typically observed for nucleons. Meanwhile, the electric polarizabilities of spin-3/2 singly heavy baryons are comparable to those of their spin-1/2 partners.

22 pages, 1 figures, 9 tables. Comments are welcome. arXiv admin note: substantial text overlap with arXiv:2412.02297

References in corpus (13)

• Electromagnetic excitation of the Delta(1232)-resonance
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• High-precision determination of the electric and magnetic radius of the proton
• Electromagnetic properties of the Delta(1232) and decuplet baryons in the self-consistent SU(3) chiral quark-soliton model
• Electromagnetic form factors of the Delta in a S-wave approach
• Electric Quadrupole and Magnetic Octupole Moments of the Light Decuplet Baryons Within Light Cone QCD Sum Rules
• Magnetic dipole moment of the $\Delta (1232)$ in chiral perturbation theory
• Lattice QCD study of the elastic and transition form factors of charmed baryons
• Connected Parts of Decuplet Electromagnetic Properties
• Nucleon polarizabilities in covariant baryon chiral perturbation theory with explicit $\Delta$ degrees of freedom
• Pion-nucleon scattering with decuplet contribution in heavy baryon SU(3) chiral perturbation theory
• Electromagnetic polarizabilities of the spin-$\frac{1}{2}$ singly heavy baryons in heavy baryon chiral perturbation theory

Cited by in corpus (1)

• Electromagnetic polarizabilities of the triplet hadrons in heavy hadron chiral perturbation theory