Hypernuclear No-Core Shell Model

We extend the No-Core Shell Model (NCSM) methodology to incorporate strangeness degrees of freedom and apply it to single-$\Lambda$ hypernuclei. After discussing the transformation of the hyperon-nucleon (YN) interaction into Harmonic-Oscillator (HO) basis and the Similarity Renormalization Group transformation applied to it to improve model-space convergence, we present two complementary formulations of the NCSM, one that uses relative Jacobi coordinates and symmetry-adapted basis states to fully exploit the symmetries of the hypernuclear Hamiltonian, and one working in a Slater determinant basis of HO states where antisymmetrization and computation of matrix elements is simple and to which an importance-truncation scheme can be applied. For the Jacobi-coordinate formulation, we give an iterative procedure for the construction of the antisymmetric basis for arbitrary particle number and present the formulae used to embed two- and three-baryon interactions into the many-body space. For the Slater-determinant formulation, we discuss the conversion of the YN interaction matrix elements from relative to single-particle coordinates, the importance-truncation scheme that tailors the model space to the description of the low-lying spectrum, and the role of the redundant center-of-mass degrees of freedom. We conclude with a validation of both formulations in the four-body system, giving converged ground-state energies for a chiral Hamiltonian, and present a short survey of the $A\le7$ hyper-helium isotopes.Comment: 17 pages, 8 figures; accepted versio

Diffusion determines the recurrent graph

We consider diffusion on discrete measure spaces as encoded by Markovian semigroups arising from weighted graphs. We study whether the graph is uniquely determined if the diffusion is given up to order isomorphism. If the graph is recurrent then the complete graph structure and the measure space are determined (up to an overall scaling). As shown by counterexamples this result is optimal. Without the recurrence assumption, the graph still turns out to be determined in the case of normalized diffusion on graphs with standard weights and in the case of arbitrary graphs over spaces in which each point has the same mass. These investigations provide discrete counterparts to studies of diffusion on Euclidean domains and manifolds initiated by Arendt and continued by Arendt/Biegert/ter Elst and Arendt/ter Elst. A crucial step in our considerations shows that order isomorphisms are actually unitary maps (up to a scaling) in our context.Comment: 30 page

Ab Initio Description of p-Shell Hypernuclei

We present the first ab initio calculations for p-shell single-Lambda hypernuclei. For the solution of the many-baryon problem, we develop two variants of the no-core shell model with explicit $\Lambda$ and $\Sigma^+$, $\Sigma^0$, $\Sigma^-$ hyperons including $\Lambda$-$\Sigma$ conversion, optionally supplemented by a similarity renormalization group transformation to accelerate model-space convergence. In addition to state-of-the-art chiral two- and three-nucleon interactions, we use leading-order chiral hyperon-nucleon interactions and a recent meson-exchange hyperon-nucleon interaction. We validate the approach for s-shell hypernuclei and apply it to p-shell hypernuclei, in particular to $^7_\Lambda$Li, $^9_\Lambda$Be and $^{13}_\Lambda$C. We show that the chiral hyperon-nucleon interactions provide ground-state and excitation energies that agree with experiment within the cutoff dependence. At the same time we demonstrate that hypernuclear spectroscopy provides tight constraints on the hyperon-nucleon interactions and we discuss the impact of induced hyperon-nucleon-nucleon interactions.Comment: 6 pages, 4 figure

THE EFFECT OF NON·CONTACT THERAPEUTIC TOUCH ON THE HEALING RATE OF FULL THICKNESS DERMAL WOUNDS

The effect of Noncontact Therapeutic Touch (NClD on the rate of surgical wound healing was examined in a double-blind study. Full-thickness dermal wounds were incised on the lateral deltoid region using a skin punch biopsy instrument, on healthy subjects randomly assigned to treatment or control groups. Subjects were blinded both to group assignment and to the true nature of the active treatment modality in order to control placebo and expectation effects. Incisions were dressed with gas-permeable dressings, and wound surface areas were measured on Days 0, 8, and 16 using a direct tracing method and digitization system. Active and control treatments were comprised ofdaily sessions offive minutes of exposure to a hidden Therapeutic Touch practitioner or to sham exposure.Results showed that treated subjects experienced a significant acceleration in the rate of wound healing as compared to non-treated subjects at day8 (Mann-Whitney U; Z =-5.675; n =44; p<.OO1; 2 tailed), and at day 16 (X2 =16.847, df =1; p<.OO1). Statistical comparisons are dominated by the complete healing of 13 of 23 treated subjects vs. O of 21 control subjects by day 16. Placebo effects and the possible influences of suggestion and expectation of healing were eliminated by isolating the subjects from the Therapeutic Touch practitioner, by blinding them to the nature of the therapy during the study, and by the use of an independent experimenter who was blinded to the nature of the therapy. The findings of this study demonstrate, at least, the potential for NCIT in the healing of full-thickness human dermal wounds

THE EFFECT OF NON·CONTACT THERAPEUTIC TOUCH ON THE HEALING RATE OF FULL THICKNESS DERMAL WOUNDS

The effect of Noncontact Therapeutic Touch (NClD on the rate of surgical wound healing was examined in a double-blind study. Full-thickness dermal wounds were incised on the lateral deltoid region using a skin punch biopsy instrument, on healthy subjects randomly assigned to treatment or control groups. Subjects were blinded both to group assignment and to the true nature of the active treatment modality in order to control placebo and expectation effects. Incisions were dressed with gas-permeable dressings, and wound surface areas were measured on Days 0, 8, and 16 using a direct tracing method and digitization system. Active and control treatments were comprised ofdaily sessions offive minutes of exposure to a hidden Therapeutic Touch practitioner or to sham exposure.Results showed that treated subjects experienced a significant acceleration in the rate of wound healing as compared to non-treated subjects at day8 (Mann-Whitney U; Z =-5.675; n =44; p&lt;.OO1; 2 tailed), and at day 16 (X2 =16.847, df =1; p&lt;.OO1). Statistical comparisons are dominated by the complete healing of 13 of 23 treated subjects vs. O of 21 control subjects by day 16. Placebo effects and the possible influences of suggestion and expectation of healing were eliminated by isolating the subjects from the Therapeutic Touch practitioner, by blinding them to the nature of the therapy during the study, and by the use of an independent experimenter who was blinded to the nature of the therapy. The findings of this study demonstrate, at least, the potential for NCIT in the healing of full-thickness human dermal wounds

Self-Adjoint Extensions of Bipartite Hamiltonians

We compute the deficiency spaces of operators of the form $H_A{\hat{\otimes}} I + I{\hat{\otimes}} H_B$, for symmetric $H_A$ and self-adjoint $H_B$. This enables us to construct self-adjoint extensions (if they exist) by means of von Neumann's theory. The structure of the deficiency spaces for this case was asserted already by Ibort, Marmo and P\'erez-Pardo, but only proven under the restriction of $H_B$ having discrete, non-degenerate spectrum

Microwave phase contrast imaging of the subsurface using variation in soil moisture level

A new microwave subsurface imaging product is described which is evolved via time lapsed microwave measurements, over several days, of the soil subsurface. The technique exploits changes in soil moisture levels that occur naturally due to evaporative and percolation processes. A novel technique is investigated for detecting and discriminating buried targets; it provides a scaled phase weighting procedure to form a cumulative B-scan image of the subsurface. The algorithm is demonstrated on ground penetrating radar measurements acquired in the XBand spectrum over soil where reference targets and other buried artefacts are placed. Early stage experimental results suggest the approach shows promise to provide enhanced subsurface imagery with reduced clutter and noise levels