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Dynamically Generated States From The Pseudoscalar-vector And Light Vectors-charmed Baryons Interaction

Posted on:2012-11-05Degree:MasterType:Thesis
Country:ChinaCandidate:J QiuFull Text:PDF
GTID:2210330338473239Subject:Theoretical Physics
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The interactions between hadrons, hadron's properties and the internal structure are the most important topics in the field of strong interaction. Although Quantum Chromodynamics(QCD)has been generally accepted as the underlying theory of the strong interaction, due to the difficulties of itself, people often turn to various effective theories and models in practice. As a low-energy effective field theory, chiral per-turbation theory(ChPT) has been very successful in studies of low-energy hadronic phenomena, were explained well the self-interaction of the Goldstone boson(π,K,η); Due to its nature of expansion in momentum and quark mass, it can't describe reso-nance. The chiral unitary approach(ChUA) branches the application scope of ChPT, the ChUA uses a factorized Bathe-Salpeter(B-S)equation to resum an infinite number of channel loops, where the amplitude comes from ChPT is used as the kernel of B-S equation,thus the obtained total amplitude satisfies the unitary relation. The ChUA has been successfully applied to study the meson-meson,meson-baryon interaction, the obtained dynamically generated states satisfies the experimental data well, And also the predicted new hadron states may be found in experiment.The ChUA is used to study the pscudoscalar-vector S-Wave scattering and light vectors-charmed baryons S-wave interaction in this thesis. The unitary scattering amplitude is calculated using the B-S equation from the effective chiral Lagrangians, The analysis of the unitary scattering amplitude shows meaningful poles in the proper Riemann sheet which are identified with existing meson or baryon bound-state reso-nances; the mass, width and the decay model of the dynamical generated states are also obtained. We use dimensional regularization method deal with the divergence of one loop integral.The subtraction constantα(μ) is determined by mean of the three-momentum cut off method.The scale of dimensional regularizationμ,which take as 1000MeV, changes in the scale are reabsorbed in the subtraction constantα(μ). Theα(μ) is the only free parameter in our calculation. and the results are not sensitive to the value ofα(μ).There are six coupled channels for pseudoscalar-vector interaction inⅠ=1/2,S=0, C=+1 sector:D*π,D*η,D*K,ρD,K*Ds;three states D1 with JP=1+are dy-namlcally generated in the scattering.There are D1(1)(2250)(Mt≠0=2259.36 MeV,Γt≠0=185.31MeV:Mt=0=2248.92MeV,Γt=0=152.66MeV),D1(2)(2520)(Mt≠0 2496.75MeV,Γt≠0=107.90MeV;Mt=0=2539.20MeV.Γt=0=0.30MeV),D1(3)(2610) (Mt≠0=2611.92McV.Γt≠0=78.90MeV;Mt=0=2614.87MeV,Γt=0=44.04MeV). The three D11 generated state are predicted,their mass doesn't satisfy the experimental date about D1,but agreed with the ref [44] about prediction of D1 mass.By compari-son,We check the two different effective chiral Lagrangians about pseudoscalar-vector interaction, one of theirs has t channel contribution,another is contact interaction.As a whole the t channel contribution enlarge the width of dynamically generated states. We expect that there will be large experimental date can check our prediction of D1For light vectors-charmed baryons S-wave interaction inⅠ=1/2,S=-1,C=+1 sector.we find twoΞc baryon resonances with Jρ=1/2,or3/2-:Ξc(1)(3100)(M=3105.68 MeV,Γ=6.74 MeV);Ξc(2)(3250)(M=3250.45 MeV,Γ=16.92 MeV).The mass and width ofΞc(1)(3100)are consistent With experimentalΞc(3123),the generated stateΞc(1)(3100) is K*Ac bound state in our theory.And it can decay into Ac+Kπby radiative decays, this is consistent with thatΞc(3123)was found in Ac+K-π+ invariant mass distribution. So we tend to identifyΞc(1)(3100)to beΞc(3123). The other dynamically generated states areΞc(2)(3250).Ξc(3)(3200).Ξc(3)(3300).Ξc(5)(3510).Their mass,width and decay modes are predicted.
Keywords/Search Tags:Pseudoscalar-Vector meson interaction, Light vectors-Charmed baryons interaction, Coupled-channel B-S equation, Chiral amplitude, Dynamically generated states
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