New Treatment of Resonances with Bound State Approximation by Using Pseudo Potential

We propose a new approach to extract the wave functions of resonances by the bound state approximation which gives the mixed states of the resonance components and the continuum ones. In our approach, on the basis of the method of analytic continuation in the coupling constant (ACCC), we construct Pad\'e rational function by adopting the positive energies as well as the negative ones. We report the result of the application of this new method to the second $2^+$ state of $^{12}$C which was studied with the ACCC method in our previous work. It is found that the resonance parameters obtained by the ACCC method are well reproduced by the new method. Some advantages over the ACCC method are also shown.Comment: 10pages, 2figures, submitted to Prog. Theor. Phys, changed content, added reference

Alpha-particle condensation in nuclei

A round up of the present status of the conjecture that n alpha nuclei form an alpha-particle condensate in excited states close to the n alpha threshold is given. Experiments which could demonstrate the condensate character are proposed. Possible lines of further theoretical developments are discussed.Comment: 6 page

Analysis of previous microscopic calculations for second 0+0^+ state in 12^{12}C in terms of 3-alpha particle Bose-condensed state

The wave function of the second $0^+$ state of $^{12}$C which was obtained long time ago by solving the microscopic 3$\alpha$ problem is shown to be almost completely equivalent to the wave function of the 3$\alpha$ condensed state which has been proposed recently by the present authors. This equivalence of the wave functions is shown to hold in two cases where different effective two-nucleon forces are adopted. This finding gives strong support for interpreting the second $0^+$ state of $^{12}$C which is the key state for the synthesis of $^{12}$C in stars ('Hoyle' state), and which is one of the typical mysterious $0^+$ states in light nuclei, as a gas-like structure of three $\alpha$ particles, Bose-condensed into an identical s-wave function.Comment: revtex, 5 pages, 2 figures, submitted to Phys. Rev.

Monopole Excitation to Cluster States

We discuss strength of monopole excitation of the ground state to cluster states in light nuclei. We clarify that the monopole excitation to cluster states is in general strong as to be comparable with the single particle strength and shares an appreciable portion of the sum rule value in spite of large difference of the structure between the cluster state and the shell-model-like ground state. We argue that the essential reasons of the large strength are twofold. One is the fact that the clustering degree of freedom is possessed even by simple shell model wave functions. The detailed feature of this fact is described by the so-called Bayman-Bohr theorem which tells us that SU(3) shell model wave function is equivalent to cluster model wave function. The other is the ground state correlation induced by the activation of the cluster degrees of freedom described by the Bayman-Bohr theorem. We demonstrate, by deriving analytical expressions of monopole matrix elements, that the order of magnitude of the monopole strength is governed by the first reason, while the second reason plays a sufficient role in reproducing the data up to the factor of magnitude of the monopole strength. Our explanation is made by analysing three examples which are the monopole excitations to the $0^+_2$ and $0^+_3$ states in $^{16}$O and the one to the $0^+_2$ state in $^{12}$C. The present results imply that the measurement of strong monopole transitions or excitations is in general very useful for the study of cluster states.Comment: 11 pages, 1 figure: revised versio

Fluctuations for the Ginzburg-Landau ∇ϕ\nabla \phi Interface Model on a Bounded Domain

We study the massless field on $D_n = D \cap \tfrac{1}{n} \Z^2$, where $D \subseteq \R^2$ is a bounded domain with smooth boundary, with Hamiltonian \CH(h) = \sum_{x \sim y} \CV(h(x) - h(y)). The interaction \CV is assumed to be symmetric and uniformly convex. This is a general model for a $(2+1)$-dimensional effective interface where $h$ represents the height. We take our boundary conditions to be a continuous perturbation of a macroscopic tilt: $h(x) = n x \cdot u + f(x)$ for $x \in \partial D_n$, $u \in \R^2$, and $f \colon \R^2 \to \R$ continuous. We prove that the fluctuations of linear functionals of $h(x)$ about the tilt converge in the limit to a Gaussian free field on $D$, the standard Gaussian with respect to the weighted Dirichlet inner product $(f,g)_\nabla^\beta = \int_D \sum_i \beta_i \partial_i f_i \partial_i g_i$ for some explicit $\beta = \beta(u)$. In a subsequent article, we will employ the tools developed here to resolve a conjecture of Sheffield that the zero contour lines of $h$ are asymptotically described by $SLE(4)$, a conformally invariant random curve.Comment: 58 page

Alpha Decay Width of 212^{212}Po from a quartetting wave function approach

A microscopic calculation of $\alpha$-cluster preformation probability and $\alpha$ decay width in the typical $\alpha$ emitter $^{212}$Po is presented. Results are obtained by improving a recent approach to describe $\alpha$ preformation in $^{212}$Po [Phys. Rev. C 90, 034304 (2014)] implementing four-nucleon correlations (quartetting). Using the actually measured density distribution of the $^{208}$ Pb core, the calculated alpha decay width of $^{212}$Po agrees fairly well with the measured one.Comment: 7 pages, 5 figures, 1 table, submitted to Phys. Rev.

Bound clusters on top of doubly magic nuclei

An effective $\alpha$ particle equation is derived for cases where an $\alpha$ particle is formed on top of a doubly magic nucleus. As an example, we consider $^{212}$Po with the $\alpha$ on top of the $^{208}$ Pb core. We will consider the core nucleus infinitely heavy, so that the $\alpha$ particle moves with respect to a fixed center, i.e., recoil effects are neglected. The fully quantal solution of the problem is discussed. The approach is inspired by the THSR (Tohsaki-Horiuchi-Schuck-R\"{o}pke) wave function concept that has been successfully applied to light nuclei. Shell model calculations are improved by including four-particle ($\alpha$-like) correlations that are of relevance when the matter density becomes low. In the region where the $\alpha$-like cluster penetrates the core nucleus, the intrinsic bound state wave function transforms at a critical density into an unbound four-nucleon shell model state. Exploratory calculations for $^{212}$Po are presented. Such preformed cluster states are only hardly described by shell model calculations. Reasons for different physics behavior of an $\alpha$-like cluster with respect to a deuteron-like cluster are discussed.Comment: 24 pages, 5 figure

Psychological responses to bone-marrow-transplantation

This thesis contains two studies; the main study investigating psychological consequences of Bone Marow Transplantation for patients and a study investigating the difficulties experienced by the 'significant other' close to the patient investigated. Study into Psychological Consequences of Bone Marrow Transplantation The aim of this study was to investigate the feelings of anxiety, depression, quality of life and mental adjustment to cancer in a group of patients undergoing Bone Marrow Transplantation at the Royal Marsden Hospital and the Royal Free Hospital. It was hoped that the findings, as well as offering a contribution to knowledge, would provide a basis for improving the care of patients, and that a fuller understanding of their changing feelings during the period of treatment would enable medical staff to respond more effectively to their needs. To this end the main study follows a group of patients from their decision for transplant as a treatment option to a year post-transplant. Assessment of the patients' psychological states was done at fixed points at the end of evaluated stages. These stages were evaluated according to findings from literature and the observation of past research that the psychological well-being of these patients closely follows their medical procedure. Seven sequential stages were evaluated for this study and patients were assessed at the end of each stage. Furthermore, 3 non-sequential assessments were added. These were at the time of discharge, first rehospitalization following transplant and if the patient relapsed. At each assessment patients' psychological state was assessed by a number of established questionnaires with regards to their levels of anxiety, depression, quality of life and mental adjustment to cancer. In addition a semi-structured interview was used to evaluate issues around the patient's decision for transplant, the patients' expectations, stressful events and available support throughout the transplant period. It was hypothesised that the variables investigated do not remain constant during the treatment but are influenced by the changes in the treatment during the different stages. The result shows that patients' emotional well-being changes with changing stages. The obtained results confirm hypotheses that patients' emotional well-being does not remain consistent throughout the transplant period, but tended to change during different stages depending on treatment procedures and events happening during the assessed stage. However patients' expectations regarding the outcome of this treatment tend to remain stable throughout. Responses Of The Patient's Relative The aim of the study of the patient's significant other was to investigate the psychological responses of the 'significant other' to the patient's medical and psychological experiences during the medical procedure. This was done by one interview. The interview sought to discover the information provided to them about the procedure, the distress they experienced from their close contact with the patient, and what kind of support they needed and found. To this end, relatives of surviving patients were interviewed once at three months post-transplant by a questionnaire designed by the author and based on observations on the ward. The results of these interviews indicated that the relatives were generally well informed about the medical procedure and its physical side effects, but that they felt ill-prepared and unsupported in dealing with the unexpected side effects of the treatment. Patients in pain and feeling hopeless and low caused most distress to the involved relatives

Uniqueness of bounded solutions for the homogeneous Landau equation with a Coulomb potential

We prove the uniqueness of bounded solutions for the spatially homogeneous Fokker-Planck-Landau equation with a Coulomb potential. Since the local (in time) existence of such solutions has been proved by Arsen'ev-Peskov (1977), we deduce a local well-posedness result. The stability with respect to the initial condition is also checked