Scalar and Tensor Charmonium Resonances in Coupled-Channel Scattering from Lattice QCD.

We determine J^{PC}=0^{++} and 2^{++} hadron-hadron scattering amplitudes in the charmonium energy region up to 4100 MeV using lattice QCD, a first-principles approach to QCD. Working at m_{π}≈391 MeV, more than 200 finite-volume energy levels are computed and these are used in extensions of the Lüscher formalism to determine infinite-volume coupled-channel scattering amplitudes. We find that this energy region contains a single χ_{c0} and a single χ_{c2} resonance. Both are found as pole singularities on the closest unphysical Riemann sheet, just below 4000 MeV with widths around 70 MeV. The largest couplings are to kinematically closed D^{*}D[over ¯]^{*} channels in S-wave, and couplings to several decay channels consisting of pairs of open-charm mesons are found to be large and significant in both cases. Above the ground state χ_{c0}, no other scalar bound states or near-DD[over ¯] threshold resonances are found, in contrast to several theoretical and experimental studies.

Energy-Dependent π

Focusing on three-pion states with maximal isospin (π^{+}π^{+}π^{+}), we present the first nonperturbative determination of an energy-dependent three-hadron scattering amplitude from first-principles QCD. The calculation combines finite-volume three-hadron energies, extracted using numerical lattice QCD, with a relativistic finite-volume formalism, required to interpret the results. To fully implement the latter, we also solve integral equations that relate an intermediate three-body K matrix to the physical three-hadron scattering amplitude. The resulting amplitude shows rich analytic structure and a complicated dependence on the two-pion invariant masses, represented here via Dalitz-like plots of the scattering rate.

Quark-Mass Dependence of Elastic πK Scattering from QCD.

We present a determination of the isospin-1/2 elastic πK scattering amplitudes in S and P partial waves using lattice quantum chromodynamics. The amplitudes, constrained for a large number of real-valued energy points, are obtained as a function of light-quark mass, corresponding to four pion masses between 200 and 400 MeV, at a single lattice spacing. Below the first inelastic threshold, the P-wave scattering amplitude is dominated by a single pole singularity that evolves from being a stable bound state at the highest quark mass into a narrow resonance that broadens as the pion and kaon masses are reduced. As in experiment, the S-wave amplitude does not exhibit an obviously resonant behavior, but instead shows a slow rise from threshold, which is not inconsistent with the presence of a κ/K_{0}^{⋆}(700)-like resonance at the considered quark masses. As has been found in analyses of experimental scattering data, simple analytic continuations into the complex energy plane of precisely determined lattice QCD amplitudes on the real energy axis are not sufficient to model-independently determine the existence and properties of this state. The spectra and amplitudes we present will serve as an input for increasingly elaborate amplitude analysis techniques that implement more of the analytic structure expected at complex energies.

Isoscalar ππ Scattering and the σ Meson Resonance from QCD.

We present for the first time a determination of the energy dependence of the isoscalar ππ elastic scattering phase shift within a first-principles numerical lattice approach to QCD. Hadronic correlation functions are computed including all required quark propagation diagrams, and from these the discrete spectrum of states in the finite volume defined by the lattice boundary is extracted. From the volume dependence of the spectrum, we obtain the S-wave phase shift up to the KK[over ¯] threshold. Calculations are performed at two values of the u, d quark mass corresponding to m_{π}=236,391 MeV, and the resulting amplitudes are described in terms of a σ meson which evolves from a bound state below the ππ threshold at the heavier quark mass to a broad resonance at the lighter quark mass.

Resonant π

We present the first ab initio calculation of a radiative transition of a hadronic resonance within quantum chromodynamics (QCD). We compute the amplitude for ππ→πγ^{⋆}, as a function of the energy of the ππ pair and the virtuality of the photon, in the kinematic regime where ππ couples strongly to the unstable ρ resonance. This exploratory calculation is performed using a lattice discretization of QCD with quark masses corresponding to m_{π}≈400 MeV. We obtain a description of the energy dependence of the transition amplitude, constrained at 48 kinematic points, that we can analytically continue to the ρ pole and identify from its residue the ρ→πγ^{⋆} form factor.

Resonances in coupled πK-ηK scattering from quantum chromodynamics.

Using a first-principles calculation within quantum chromodynamics, we are able to determine a pattern of strangeness=1 resonances that appear as complex singularities within coupled πK-ηK scattering amplitudes. We make use of numerical computation in the lattice discretized approach to the quantum field theory with light quark masses corresponding to m(π)∼400 MeV and at a single lattice spacing. The energy dependence of scattering amplitudes is extracted through their relationship to the discrete spectrum in a finite volume, which we map out in unprecedented detail.

Highly excited and exotic meson spectrum from dynamical lattice QCD.

Using a new quark-field construction algorithm and a large variational basis of operators, we extract a highly excited isovector meson spectrum on dynamical anisotropic lattices. We show how carefully constructed operators can be used to reliably identify the continuum spin of extracted states, overcoming the reduced cubic symmetry of the lattice. Using this method we extract, with confidence, excited states, states with exotic quantum numbers (0+-, 1-+, and 2+-), and states of high spin, including, for the first time in lattice QCD, spin-four states.

Will stem cells in cord blood, amniotic fluid, bone marrow and peripheral blood soon be unnecessary in transplantation?

There are now various sources of stem cells. Those derived from blastocysts, named embryo stem (ES) cells, have attracted most attention and are highly multipotent. Human cord blood became widely used as a source of stem cells with differing properties to ES cells and their therapeutic application has grown steadily as they are stored in increasing numbers of stem cell banks. Other sources of human stem cells are derived from peripheral blood and amniotic fluid. They may arise from a common origin in epiblast. This review stresses the use of cord blood stem cells, but describes new approaches which may supersede the use of most stem cells. The advantages and disadvantages of these various classes are described in relation to potential methods involving gene conversion to change somatic cells to ES cells.

Human implantation: the last barrier in assisted reproduction technologies?

Implantation processes are highly complex involving the actions of numerous hormones, immunoglobulins, cytokines and other factors in the endometrium. They are also essential matters for the success of assisted reproduction. The nature of early embryonic development is of equal significance. It involves ovarian follicle growth, ovulation, fertilization and preimplantation growth. These processes are affected by imbalanced chromosomal constitutions or slow developmental periods. Post-implantation death is also a significant factor in cases of placental insufficiency or recurrent abortion. Clearly, many of these matters can significantly affect birth rates. This review is concerned primarily with the oocyte, the early embryo and its chromosomal anomalies, and the nature of factors involved in implantation. These are clearly among the most important features in determining successful embryonic and fetal growth. Successive sections cover the endocrine stimulation of follicle growth in mice and humans, growth of human embryos in vitro, their apposition and attachment to the uterus, factors involved in embryo attachment to uterine epithelium and later stages of implantation, and understanding the gene control of polarities and other aspects of preimplantation embryo differentiation. New aspects of knowledge include the use of human oocyte maturation in vitro as an approach to simpler forms of IVF, and new concepts in developmental genetics.

Two-photon decays of charmonia from lattice QCD.

We make the first calculation in lattice QCD of two-photon decays of mesons. Working in the charmonium sector, using the Lehmann-Symanzik-Zimmermann reduction to relate a photon to a sum of hadronic vector eigenstates, we compute form factors in both the spacelike and timelike domains for the transitions eta c --> gamma*gamma* and chi(c0) --> gamma*gamma*. At the on-shell point, we find approximate agreement with experimental world-average values.

Human implantation: the last barrier in assisted reproduction technologies?

Implantation processes are highly complex involving the actions of numerous hormones, immunoglobulins, cytokines and other factors in the endometrium. They are also essential matters for the success of assisted reproduction. The nature of early embryonic development is of equal significance. It involves ovarian follicle growth, ovulation, fertilization and preimplantation growth. These processes are affected by imbalanced chromosomal constitutions or slow developmental periods. Post-implantation death is also a significant factor in cases of placental insufficiency or recurrent abortion. Clearly, many of these matters can significantly affect birth rates. This review is concerned primarily with the oocyte, the early embryo and its chromosomal anomalies, and the nature of factors involved in implantation. These are clearly among the most important features in determining successful embryonic and fetal growth. Successive sections cover the endocrine stimulation of follicle growth in mice and humans, growth of human embryos in vitro, their apposition and attachment to the uterus, factors involved in embryo attachment to uterine epithelium and later stages of implantation, and understanding the gene control of polarities and other aspects of preimplantation embryo differentiation. New aspects of knowledge include the use of human oocyte maturation in vitro as an approach to simpler forms of IVF, and new concepts in developmental genetics.

Initial differentiation of blastomeres in 4-cell human embryos and its significance for early embryogenesis and implantation.

This brief review is devoted to the nature of early blastomere differentiation in human 4-cell embryos and its consequences for embryonic development. Precursor cells of inner cell mass, germline, and trophectoderm may be formed at this stage, the clearest evidence being available for trophectoderm. The sites of these precursor cells in the embryo could be ascertained using markers for animal and vegetal poles, observing specific cleavage planes, and assessing gene and protein expression. This opens new opportunities for studying 4-cell embryos and removing or replacing specific cells. Knowledge of the properties of individual blastomeres should help in improving assisted human reproduction, performing preimplantation genetic diagnosis, and perhaps establishing specific stem cell lines. Special attention is paid to well-characterized trophectoderm, the trophectoderm stem cell, and possible new forms of clinical application.

Genetics of polarity in mammalian embryos.

This brief review is devoted to the genetic control of polarity and embryonic axes in preimplantation mammalian embryos. Discussion is related to their formation, the considerable variations in gene activity in these early phases of development, and the influence of timers over polarities and related aspects of development. Modern genetic analyses assess vast numbers of genes in outline, and the actions of individual genes in detail. These factors operate within a mixture of inherited maternal controls, gene silencing, bouts of transcription and the actions of mini RNA in controlling gene expression. Within this context, maternal factors regulate the planes of early cleavage divisions and unevenly distribute animal and vegetal characteristics to successive blastomeres by the 4-cell stage. This varied inheritance confers varying combinations of animal and vegetal cytoplasm to single blastomeres in many human 4-cell embryos. The blastomere inheriting animal cytoplasm only may be the trophectodermal stem cell, that with vegetal cytoplasm may be the germline precursor, and the two with full polarity may produce inner cell mass. Some implications of these findings are considered.

An astonishing journey into reproductive genetics since the 1950's.

Training in genetics in Edinburgh in the 1950s led to a PhD on the developmental biology of mouse embryos with unusual chromosomal complements. Fundamental aspects of reproduction under study included ovulation induction, oocyte maturation and embryonic growth to blastocysts. It led to the introduction of embryo stem cells, preimplantation genetic diagnosis, the exact timing of human oocyte maturation in vitro and studies on fertilising human eggs in vitro to alleviate human infertility. My work was helped by studies on sperm capacitation and the physiology of fertilization in domestic and laboratory species by Thibault, Dauzier, Austin, Chang, Yanagimachi and others. I met Charles Thibault at a meeting in Cambridge U.K. where he criticised the work of Moricard, and then frequently on lecture circuits. Impressed by his grandeur but not his doubts about human IVF, Steptoe and I initiated human embryo transfers and the birth of Louise Brown. Details of her pregnancy had to be confidential to reduce the risks of abortion associated with the intrusion of numerous newsmen chasing the story. I was compelled to withold this information at a meeting in Paris in the late 1960s when I had to leave early to return to UK. This omission annoyed Thibault and led to our celebrated quarrel. I felt he failed to appreciate the complexity, the implications of this pregnancy and an astonishing future. So much was at stake, including IVF, stem cells and preimplantation diagnosis to help millions of patients. Some months later, our dispute was ended even if somewhat formally. Nevertheless it is a pleasure to recall how we shared so much in common. I still admire him as an inspiration to many colleagues and students, and a father figure in French agricultural research.

Averting abnormal inheritance: potential of gene therapy and preimplantation diagnosis.

Serious inherited disease in children can be averted by preimplantation genetic diagnosis (PGD) and potentially by gene therapy in addition to prenatal diagnosis. PGD is now well established and provides a secure, if expensive and complex form of care. Gene therapy has been practised only in animals, although its success in alleviating various conditions in adults and newborns, together with the scientific drive of the genome project, make it a highly likely approach over coming years. Pros and cons of both approaches are contrasted and compared. Newer reproductive techniques such as somatic cell hybridization promise to add new dimensions to gene therapy, and could be combined with PGD. This paper discusses the finer details of these options, their safety and the ethical issues they have raised.

On a fallacious invocation of the Barker hypothesis of anomalies in newborn rats due to mothers' food restriction in preimplantation phases.

A statistical re-evaluation indicates serious flaws in the paper by Kwong et al., reporting that low birthweight and impaired development, and perhaps anomalous preimplantation embryo growth, were associated with food restriction during the preimplantation period. This paper has been used to confirm that early forms of protein deprivation in the preimplantation phase carry risks to IVF children. Errors in interpreting the nature of their study and a failure to apply the correct principles of statistical analysis in their hierarchical data structure have led to their flawed investigation. It is therefore proposed that such serious flaws cast doubt on their conclusions. The findings reported in this study should be withdrawn, and a rigorous statistical evaluation should be carried out to provide a proper assessment of the data.