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.

arXiv comment22 pages, 1 figures, 9 tables. Comments are welcome. arXiv admin note: substantial text overlap with arXiv:2412.02297

References in corpus (58)

• Chiral Dynamics in Nucleons and Nuclei
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Electromagnetic excitation of the Delta(1232)-resonance
• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Effective theory of the Delta(1232) in Compton scattering off the nucleon
• Matching Heavy Particle Approach to Relativistic Theory
• Decuplet Baryon Structure from Lattice QCD
• Electromagnetic Properties of the Delta(1232)
• Strong and Electromagnetic Decays of the Baryon Decuplet
• Electromagnetic Interactions in Heavy Hadron Chiral Theory
• Consistent Calculation of the Nucleon Electromagnetic Polarizabilities in Chiral Perturbation Theory Beyond Next-to-Leading Order
• The reaction $\gamma p\to {\pi }^{\circ }{\gamma }^{\prime }p$ and the magnetic dipole moment of the ${\Delta }^{+}(1232)$ resonance
• Baryon Magnetic Moments in a Simultaneous Expansion in $1/N$ and $m_s$
• Pion-nucleon scattering in an effective chiral field theory with explicit spin-3/2 fields
• Delta(1232) and the Polarizabilities of the Nucleon
• Polarizability of the Nucleon and Compton Scattering
• Magnetic Moments of the Baryon Decuplet in a Relativistic Quark Model
• Baryon magnetic moments in the background field method
• Aspects of Nucleon Compton Scattering
• Magnetic moment of the Delta(1232)-resonance in chiral effective field theory
• Electromagnetic Moments of the Baryon Decuplet
• Baryon Magnetic Moments in the 1/N Expansion
• A chiral bag model approach to delta electroproduction
• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• Magnetic Moments of Delta and Omega^- Baryons with Dynamical Clover Fermions
• Determination of Decuplet Baryon Magnetic Moments from QCD Sum Rules
• Delta Baryon Magnetic Moments From Lattice QCD
• Compton scattering on the proton, neutron, and deuteron in chiral perturbation theory to O(Q^4)
• Quadrupole moments of baryons
• Corrections to Chiral Dynamics of Heavy Hadrons: SU(3) Symmetry Breaking, (with some minor corrections)
• Precision electromagnetic structure of decuplet baryons in the chiral regime
• Magnetic moments of the SU(3) decuplet baryons in the chiral quark-soliton model
• High-precision determination of the electric and magnetic radius of the proton
• The electromagnetic decays of the charmed and bottom baryons in chiral perturbation theory
• The Decuplet Revisited in $\chi$PT
• Electromagnetic Polarisability of the Nucleon in Chiral Perturbation Theory
• Hadron Polarizabilities
• The electromagnetic form factors of the Omega in lattice QCD
• Predictions of covariant chiral perturbation theory for nucleon polarisabilities and polarised Compton scattering
• Covariant baryon charge radii and magnetic moments in a chiral constituent quark model
• The radiative decays of the singly heavy baryons in chiral perturbation theory
• Electromagnetic properties of the Delta(1232) and decuplet baryons in the self-consistent SU(3) chiral quark-soliton model
• Magnetic Moments of Delta Baryons in Light Cone QCD Sum Rules
• Magnetic moments of the spin-$\frac{1}{2}$ singly charmed baryons in chiral perturbation theory
• Proton polarisabilities from Compton data using Covariant Chiral EFT
• 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
• Electric quadrupole moments of the decuplet baryons in the Skyrme model
• Magnetic moments of the spin-$\frac{3}{2}$ singly heavy baryons
• The magnetic moments and electromagnetic form factors of the decuplet baryons in chiral perturbation theory
• Investigating Neutron Polarizabilities through Compton Scattering on ${}^3$He
• 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

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