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Lifetime of doubly charmed baryons. Introduction Formulation for Lifetimes of Evaluation of Hadronic Matrix Elements Numerical Results Summary. Chao-Hsi Chang(ITP), Tong Li(NKU), Xue-Qian Li(NKU), Yu-Ming Wang(NKU). Introduction. - PowerPoint PPT Presentation
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Lifetime of doubly charmed baryons
Introduction Formulation for Lifetimes of Evaluation of Hadronic Matrix Elements Numerical Results Summary
Chao-Hsi Chang(ITP), Tong Li(NKU), Xue-Qian Li(NKU), Yu-Ming Wang(NKU)
Introduction (ccd) observed by SELEX Collaboration at FERMILA
B (PRL89,112001(2002)) Previous works on doubly heavy-quark baryon (PRD60,014007(1999); hep-ph/9912424; Eur.Phys.J.C9,213(1999)) WE/WA and PI mechanism(PLB280,271(1992); PLB293,430(199
2); Nucl.Phys.B399,441(1993)) Hadronic wave function
Formulation for Lifetimes of The general formula for inclusive decay width
(lifetime): optical theorem
OPE of matrix element
Spectator contribution can be decomposed into two components:
Spectator Contribution
The semileptonic and nonleptonic decay of spectator contribution have been calculated by many authors. (Bigi et al., hep-ph/9401298; PRD56,2783(1997); PRD64,014003(2001))
The total decay width can be decomposed into two parts:
Non-spectator Contribution
Effective Lagrangian
Our calculation includes CKM-suppressed contribution.
The inclusive decays of (ccd)
The inclusive decays of (ccu)
The inclusive decays of (ccs)
Sandwiching the operators between initial and final states of forward scattering, we obtain the hadronic matrix elements:
Hadronic Matrix Elements
Harmonic oscillator wave function
The decay widths
Numerical Results Input parameters
(PRD60,014007(1999); hep-ph/9912424; Eur.Phys.J.C9,213(1999))
reflects the coupling of the two c quarks, we adopt the parameter the same as J/ψ reflects the coupling of two c quarks and the
light quark (u, d, s), we adopt the parameter the same as D meson
Non-perturbative parameters
Compare with other work
Lifetime of Lifetime of Lifetime of strongly depend on the wavefunction at the origin. hep-ph/9912424
Summary
Doubly charmed baryons Inclusive decay width
optical theorem, OPE, WE/WA and PI mechanism
Others (wave functions, other doubly heavy-quark baryons, triply heavy-quark baryon……)
Thank You!