87. Particles carrying a new quantum number called charm have recently been discovered. One such…

87. Particles carrying a new quantum number called charm have recently been discovered. One such particle, D+ , was seen produced in e+ e-  annihilation, at center-of-mass energy E = 4.03 GeV, as a peak in the K- _+ _+  mass spectrum at MK__ = 1.87 GeV. The Dalitz plot for the three-body decay shows nearly uniform population. (a) Using the simplest quark model in which mesons are bound states of a quark and an antiquark, show that D+ &
View complete question »                          87. Particles carrying a new quantum number called charm have recently been discovered. One such particle, D+ , was seen produced in e+ e-  annihilation, at center-of-mass energy E = 4.03 GeV, as a peak in the K- _+ _+  mass spectrum at MK__ = 1.87 GeV. The Dalitz plot for the three-body decay shows nearly uniform population. (a) Using the simplest quark model in which mesons are bound states of a quark and an antiquark, show that D+  cannot be an ordinary strange particle resonance (e.g. K*+ ). (b) What are the spin and parity (JP ) of the K__ final state? (c) Another particle, D0 , was seen at nearly the same mass in the K- _+  mass spectrum from the same experiment. What are the allowed JP  assignments for the K_ state? (d) Assume that these two particles are the same isospin multiplet, what can you infer about the type of interaction by which they decay? (e) Suppose the Ks _ 2_ decay to be typical of strangeness-changing charm-conserving weak decays. Estimate the lifetime of D0 , assuming that the branching ratio (D0 _ K- _+ )/(D0  _ all) _ 5%. The lifetime of Ks is _ 10-10  sec.      

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