A note on connected formula for form factors

In this note we study the connected prescription, originally derived from Witten's twistor string theory, for tree-level form factors in ${\cal N}=4$ super-Yang-Mills theory. The construction is based on the recently proposed four-dimensional scattering equations with $n$ massless on-shell states and one off-shell state, which we expect to work for form factors of general operators. To illustrate the universality of the prescription, we propose compact formulas for super form factors with chiral stress-tensor multiplet operator, and bosonic ones with scalar operators ${\rm Tr}(\phi^m)$ for arbitrary $m$.Comment: 13 page

Two Particle States in a Box and the ss-Matrix in Multi-Channel Scattering

Using a quantum mechanical model, the exact energy eigenstates for two-particle two-channel scattering are studied in a cubic box with periodic boundary conditions. A relation between the exact energy eigenvalue in the box and the two-channel $S$-matrix elements in the continuum is obtained. This result can be viewed as a generalization of the well-known L\"uscher's formula which establishes a similar relation in elastic scattering.Comment: 4 pages, typeset with ws-ijmpa.cls. Talk presented at International Conference on QCD and Hadronic Physics, June 16-20, 2005, Beijing, China. One reference adde

Classical O(N) nonlinear sigma model on the half line: a study on consistent Hamiltonian description

The problem of consistent Hamiltonian structure for O(N) nonlinear sigma model in the presence of five different types of boundary conditions is considered in detail. For the case of Neumann, Dirichlet and the mixture of these two types of boundaries, the consistent Poisson brackets are constructed explicitly, which may be used, e.g. for the construction of current algebras in the presence of boundary. While for the mixed boundary conditions and the mixture of mixed and Dirichlet boundary conditions, we prove that there is no consistent Poisson brackets, showing that the mixed boundary conditions are incompatible with all nontrivial subgroups of $O((N)$.Comment: revtex4, 7pp, bibte

The observed charmed hadron Λc(2940)+\Lambda_c(2940)^+ and the D∗ND^*N interaction

In this work, we systematically study the interaction of $D^*$ and nucleon, which is stimulated by the observation of $\Lambda_c(2940)^+$ close to the threshold of $D^*p$. Our numerical result obtained by the dynamical investigation indicates the existence of the $D^*N$ systems with $J^P=1/2^\pm,\,3/2^\pm$, which not only provides valuable information to understand the underlying structure of $\Lambda_c(2940)^+$ but also improves our knowledge of the interaction of $D^*$ and nucleon. Additionally, the bottom partners of the $D^*N$ systems are predicted, which might be as one of the tasks in LHCb experiment.Comment: 8 pages, 6 Figures. Accepted for publication in Phys. Rev.