The masses of the nonstrange baryon resonances in quark model with spin-spin and tensor interactions

We calculate the masses of the nonstrange baryon resonances from a quark model with Coulomb and linear potential and hyperfine interaction. We treat the nonrelativistic problem with help of the variational method, the matrix of the spin-spin and tensor force is diagonalized within a harmonic oscillator supermultiplet. We find for the even and odd parity resonances good agreement with the spectrum of the particle data group and the results of the Karlsruhe-Helsinki phase shift analysis.     

Baryon masses,chiral extrapolations,and all that<Superscript>⋆</Superscript>

We calculate the baryon octet masses to fourth order in chiral perturbation theory employing dimensional and cut-off regularization. We analyze the pion and kaon mass dependences of the baryon masses based on the MILC data. We show that chiral perturbation theory gives stable chiral extrapolation functions for pion (kaon) masses below 550 (600) MeV. For the pion-nucleon sigma term we find (0) = 39.5...46.7MeV.     

Dilepton decays of baryon resonances

Dalitz decay of baryon resonances is studied and expressions for the decay width are derived for resonances with arbitrary spin and parity. Contributions of the various terms in the transition matrix element are compared and relevance of spin-parity and the resonance mass is discussed. Explicit algebraic expressions are cited for spin <5/2 resonances. The results can be used in models of dielectron production in elementary reactions and heavy ion collisions.     

Prediction,supported by data,of a qualitative breaking of SU3 for baryon resonance decay rates

In the light of recently reported difficulties met by SU3 in comparing with experimental decay rates of baryon resonances, we present an alternative scheme which provides a simple understanding of yet unexplained features of baryon resonance data, and which implies a qualitative breaking of SU3 for baryon resonance decay rates.     

Origin of Dynamically Generated Baryon Rsonances

We study the origin of baryon resonances which are dynamically generated in the chiral unitary approach.We propose a natural renormalization scheme for the dynamical generation of resonances using the low energy chiral interaction and a general feature of the scattering theory.A deviation of a phenomenological scattering amplitude from the natural one is interpreted by an effective pole term interaction of genuine nature which can not be described by the meson-baryon dynamics,reminiscent of the CDD pole.Applying the present method to physical meson-baryon scatterings,we find that the ∧(1405) resonance is dominated by a meson-baryon component forming a (K)N-π∑ molecular-like structure,while the N(1535) resonance requires some pole contribution.     

An su (6)w fit to the negative parity baryon decay rates

We present a least squares fit to the experimental data on decays of negative parity baryon resonances into a pseudoscalar meson and either a J^P = 1/2⁺ stable baryon or a J^P = 3/2⁺ decuplet member. We find that the s-waves and d-waves are separately in good agreement with the predictions of SU (6)_w ⊗ O(2)_Lz. Predictions are given regarding several as yet unobserved decay processes, and for those which concern hitherto undetected resonances, their possible detection is discussed.     

The Singlet Axial Vector Coupling in the Effective Meson Baryon Lagrangian

The Goldberger-Treiman (GT) relation in the singlet channel, being consistent with the EMC experimental results, can be manifested in an extended a model in which the chiral symmetry in the singlet channel is realized in the parity doublet model by assuming that the excited nucleon state S₁₁ N(1535) is the parity partner of the nucleon state. The model gives a natural explanation of the smallness of the singlet axial vector coupling g_A⁰ without the necessity to assume a large strange sea contribution, and is unique in explaining the decay rate of N(1535) → N_η as well.     

\bar{K} Condensation in Neutron Star Matter with Δ Quartet

In the framework of relativistic mean field theory, the condensations of K^- and \bar{K}⁰ in neutron star matter including baryon octet and Δ quartet are studied. We find that in this case K^- and \bar{K}⁰ condensations canoccur at relative shallow optical potential depth of \bar{K} from -80 MeV to -160 MeV. Both K^- and \bar{K}⁰ condensations favor the appearances of Δ resonances. With \bar{K} condensations all the Δ quartet can appear well inside the maximum mass stars. The appearances of Δ resonances change the composition and distribution of particles at high densities. The populations ofΔ resonances can enhance K^- condensation. It is found that in the core of massive neutron stars, neutron star matter includes rich particle species, such as antikaons, baryon octet, and Δ quartet. In the presence of Δ resonances and \bar{K} condensation, the EOS becomes softer and results in smaller maximum mass stars. Furthermore the impact of antikaon condensations,hyperons, and Δ resonances on direct Urca process with nucleons is also discussed briefly.     

Effective chiral lagrangians with baryons—the mass splitting of the spin 1/2 parity partners

There are two inequivalent spin 1/2 baryon field operators that can be constructed directly out of three quark field operators. These are associated with a pair of parity partners. Their chiral transformation properties yield some unexpected results. In particular.U(1) axial transformations can mix the two operators. With these chiral transformation properties the spin 1/2 baryon parity partners are incorporated in an effective chiral lagrangian together with the spin 0 meson fields. The mass splitting of these parity partners is then found to be related to their coupling to the flavour singlet pseudoscalar, $$M_ - - M_ + \simeq F_\pi g_{\mathop {flavour}\limits_{singlet} N_ - N_ + } $$ The further selection rule, in the exact chiral limit, $$g_{\pi N_ + N_ - } = 0$$ is also found. Using these results, and their extension to the non-chiral limit, the enhancement of the decay ofN _? intoN ₊ η, as opposed toN ₊ π, is elucidated even though it is suppressed by phase space. Two flavours is given principle consideration although three flavours is also briefly discussed.     

Axial charges of N (1535) and N (1650) in two-flavor lattice QCD

We show the lattice QCD results on the axial charge g~(N~*N~*)_A of negative parity nucleon resonances, N~*(1535) and N~*(1650), which are key clues to the chiral structure in baryon sector. The measurements are performed with up and down dynamical quarks employing the renormalization-group improved gauge action at β=1.95 and the ο(a) improved clover quark action with the hopping parameters, κ=0.1375, 0.1390 and 0.1400. In order to properly separate signals of N~*(1535) and N~*(1650), we construct 2×2 correlation matrices and diagonalize them. Wraparound contributions in the correlator, which can be another source of signal contaminations, are eliminated by imposing the Dirichlet boundary condition in the temporal direction. We find that the axial charge of N~* (1535) takes small values as g~(N~*N~*)～ο(0.1), whereas that of N~*(1650) is about 0.5, which is found independent of quark masses and consistent with the predictions by the naive nonrelativistic quark model.     

Vector and Tensor Coupling Constants of SU(3) Baryons in a Chiral Soliton Model

We report in the present talk a recent investigation on the vector properties of SU(3) baryons, based on a chiral soliton model. All relevant parameters from the model are adjusted to the experimental data of the masses and magnetic moments of the baryon octet. We compute the electromagnetic transitions for the baryon octet, the decuplet, and the antidecuplet. The numerical predictions for transition magnetic moments and radiative partial decay widths are in a very good agreement with all data of existing experiment and the vector meson dominance being used, the coupling constants for the vector mesons and antidecuplet baryon vertices are determined from the calculated transition magnetic moments.     

Model independent bounds on the modulus of the pion form factor on the unitarity cut below the ωπ threshold

We study the structure of local baryon fields using the method of QCD sum rule. We only consider the single baryon fields and calculate their operator product expansions. We find that the octet baryon fields belonging to the chiral representations $[(\mathbf{3},\bar{\mathbf{3}}) \oplus(\bar{\mathbf{3}}, \mathbf{3})]$ and [(8,1)??(1,8)] and the decuplet baryon fields belonging to the chiral representations [(3,6)??(6,3)] lead to the baryon masses which are consistent with the experimental data of ground baryon masses. We also calculate their decay constants, check our normalizations for baryon fields in Chen et?al. (Phys. Rev.?D 81:054002, 2009) and find that they are well-defined.     

Higher baryon resonances in carbon-carbon collisions at 4.2 GeV/c per nucleon

The production of the N(1440), the so-called Roper, and N(1520) resonances in high-energy collisions of carbon nuclei with the carbon nucleus, using a 2 m propane bubble chamber, was investigated. Attention was paid to the two-pion decay mode of the higher baryon resonances. From the invariant masses of three-particle states the mass and width of the resonances were obtained. The ratio of the resonances decay to and states was estimated.Received: 1 July 2003, Revised: 29 September 2003, Published online: 20 April 2004PACS: 25.70.Ef Resonances - 14.20.Gk Baryon resonances with S = 0     

Non-leptonic hyperon decays in chiral perturbation theory

The non-leptonic hyperon decays are analyzed up to one-loop order including all counterterms in the framework of heavy baryon chiral perturbation theory. We use the exchange of the spin- decuplet resonances as an indication of which low-energy constants contribute significantly to these investigated processes. We choose four independent decay amplitudes that are not related by isospin relations in order to perform a fit for the pertinent low-energy constants and find a satisfactory fit both for s- and p-waves. The chiral corrections to the lowest order forms for the s-waves are moderate whereas there are significant modifications of the p-wave amplitudes. Received: 16 December 1997 / Revised version: 18 February 1998 / Published online: 15 June 1998     

Baryonic channels of dilepton production

A calculation of the Dalitz-decay width of baryon resonances is presented and applied to dilepton production in proton-proton collisions in the BEVALAC/SIS energy range. The results indicate, that for these energies the contribution of Dalitz decay of higher baryon resonances (i.e. other that the δ(1232)) are negligible.     

带有任意自旋粒子衰变产物的角分布

本文研究了具有任意自旋的粒子衰变为一个自旋为零,另一个自旋为1/2的粒子的角分布。给出了球谐函数展开式系数的表式。发现偶次球谐函数项的系数是和引起衰变的相互作用哈密顿量具体形式无关的。但是在球谐函数展开式的奇次项的系数却和一个参变数α有关,而α的值却反映了宇称守恒的相互作用和宇称不守恒的相互作用之间干涉作用的大小。我们给出了这些系数的极大值,发现凡是偶次项系数的极大值是随着衰变粒子自旋的增加而增加的,而奇次项系数的极大值却随着衰变粒子自旋的增加而减小。本文还给出了衰变着的粒子的密度矩阵作为展开式的系数的函数的表式。当这些展开式系数已经知道以后,用这些函数就能决定衰变前的粒子的极化状态,决定宇称守恒相互作用和宇称不守恒相互作用之间的干涉的程度。