Chiral Lagrangians for singly heavy baryons to $\mathcal{O}(p^4)$ order

Abstract

The chiral Lagrangians for singly heavy baryons are constructed up to the $\mathcal{O}(p^4)$ order. The involved baryons may be in a flavor antitriplet with spin-1/2, a flavor sextet with spin-$1/2$, or a flavor sextet with spin-3/2 when one considers three light flavors. For the relativistic version of Lagrangian, from $\mathcal{O}(p^2)$ to $\mathcal{O}(p^4)$, there exist 48, 199, and 1242 independent terms in the $SU(2)$ case and 59, 307, and 2454 independent terms in the $SU(3)$ case, respectively. For the Lagrangian in the heavy quark limit, from $\mathcal{O}(p^2)$ to $\mathcal{O}(p^4)$, the numbers of independent terms are reduced to 16, 64, and 412 in the $SU(2)$ case and to 17, 88, and 714 in the $SU(3)$ case, respectively. We obtain the low-energy constant relations between the relativistic case and the heavy-quark case up to the $\mathcal{O}(p^3)$ order. The relations between low-energy constants of independent relativistic terms are also presented up to this order by using the heavy quark symmetry.

arXiv comment51 pages

References in corpus (51)

• Phenomenology of Heavy Meson Chiral Lagrangians
• A review of the open charm and open bottom systems
• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• The Mesonic Chiral Lagrangian of Order $p^6$
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• The chiral effective pion-nucleon Lagrangian of order p^4
• Extension of the Chiral Perturbation Theory Meson Lagrangian to Order $P^6$
• ${\Lambda }_{c}N$ bound states revisited
• The anomalous chiral Lagrangian of order $p^6$
• Electromagnetic Interactions in Heavy Hadron Chiral Theory
• Meson-Baryon Effective Chiral Lagrangians to O(q^3)
• The anomalous chiral perturbation theory meson Lagrangian to order $p^6$ revisited
• Strong and Electromagnetic Decays of Two New $Lambd{a}_c^{\ast }$ Baryons
• Chiral Perturbation Theory with tensor sources
• Electromagnetic structure of charmed baryons in Lattice QCD
• Radiative M1 transitions of heavy baryons in the bag model
• Baryons Containing a Heavy Quark as Solitons
• Possible ${\Lambda }_c{\Lambda }_c$ molecular bound state
• Corrections to Chiral Dynamics of Heavy Hadrons: SU(3) Symmetry Breaking, (with some minor corrections)
• On the chiral effective meson-baryon Lagrangian at third order
• Radiative decays of heavy hadrons from light cone QCD sum rules in the leading order of HQET
• Analysis of the ${\frac{1}{2}}^{\pm }$ flavor antitriplet heavy baryon states with QCD sum rules
• Charmed Baryon Masses in Chiral Perturbation Theory
• The electromagnetic decays of the charmed and bottom baryons in chiral perturbation theory
• The Sigma_c and Lamda_c magnetic moments from QCD spectral sum rules
• The radiative decays of the singly heavy baryons in chiral perturbation theory
• Electromagnetic Decays of Heavy Baryons
• The order $p^8$ mesonic chiral Lagrangian
• Baryon Electromagnetic Properties in Partially Quenched Heavy Hadron Chiral Perturbation Theory
• Magnetic moments of the spin-$\frac{1}{2}$ singly charmed baryons in chiral perturbation theory
• Electromagnetic transitions of the singly charmed baryons with spin 3/2
• E2 Strength in the Radiative Charmed Baryon Decay
• The relativistic chiral Lagrangian for decuplet and octet baryons at next-to-leading order
• Analysis of ${\Lambda }_c(2595)$, ${\Lambda }_c(2625)$, ${\Lambda }_b(5912)$, ${\Lambda }_b(5920)$ based on a chiral partner structure
• Magnetic Moments of Baryons with a Single Heavy Quark
• Mass splittings within heavy baryon isospin multiplets in chiral perturbation theory
• Magnetic moments of the spin-$\frac{3}{2}$ singly heavy baryons
• Mass and axial charge of heavy baryons
• Heavy flavor baryon spectra via QCD sum rules
• Lattice QCD study of the elastic and transition form factors of charmed baryons
• Axial couplings in heavy hadron chiral perturbation theory at the next-to-leading order
• Meson-baryon effective chiral Lagrangians at order $p^4$
• Full pseudoscalar mesonic chiral Lagrangian at p6 order under the unitary group
• Chiral Lagrangians for mesons with a single heavy quark
• Chiral effective Lagrangian for doubly charmed baryons up to $\mathcal{O}(q^4)$
• Strong CP violation in spin-1/2 singly charmed baryons
• Chiral Lagrangians with $\Delta (1232)$ to one loop
• Chiral Lagrangians with decuplet baryons to one loop
• Chiral Extrapolation of Lattice Data for Heavy Baryons
• Relations for low-energy constants in baryon chiral perturbation theory with explicit $\Delta (1232)$ derived from the chiral quark model
• Relations for low-energy coupling constants in baryon chiral perturbation theory derived from the chiral quark model