383,552 research outputs found

    Antisymmetry and channel coupling contributions to the absorption for p + alpha/d + 3He

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    To understand recently established empirical p + alpha potentials, RGM calculations followed by inversion are made to study contributions of the d + 3He reaction channels and deuteron distortion effects to the p + alpha potential. An equivalent study of the d + 3He potential is also presented. The contributions of exchange non-locality to the absorption are simulated by including an phenomenological imaginary potential in the RGM. These effects alone strongly influence the shape of the imaginary potentials for both p + alpha and d + 3He. The potentials local-equivalent to the fully antisymmetrised-coupled channels calculations have a significant parity-dependence in both real and imaginary components, which for p + alpha is qualitatively similar to that found empirically. The effects on the potentials of the further inclusion of deuteron distortion are also presented. The inclusion of a spin-orbit term in the RGM, adds additional terms to the phase-equivalent potential, most notably the comparatively large imaginary spin-orbit term found empirically.Comment: 17 pages, Latex, 8 postscript figs, submitted to Nucl. Phys.

    Determination of Li-6 -- He-4 interaction from multi-energy scattering data

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    We present the first successful potential model description of Li-6 -- He-4 scattering. The differential cross-sections for three energies and the vector analyzing powers for two energies were fitted by a single potential with energy dependent imaginary components. An essential ingredient is a set of Majorana terms in each component. The potential was determined using a recently developed direct data-to-potential inversion method which is a generalisation of the IP S-matrix-to-potential inversion algorithm. We discuss the problems related to this phenomenological approach, and discuss the relationship of our results to existing and future theories.Comment: 9 pages plain LaTeX, 6 postscript figue

    Variational Method for Studying Solitons in the KdV equation

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    We use a class of trial wave functions which are generalizations of gaussians to study single soliton approximate analytic solutions to the KdV equations. The variational parameters obey a Hamiltonian dynamics obtained from the Principle of Least Action. We get extremely accurate approximate single soliton solutions including their time dependence using this method.Comment: 8 page

    Being in Public: The Threat and the Promise of Stranger Contact

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    On the q-analogue of Kummer’s 24 solutions

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    The 3φ2 transformations are used to derive q-analogues ofthe relations amongst Kummer’s 24 solutions

    The fires of change: Kirk, Popper, and the Heraclitean debate

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    In this paper, I explore a prominent question of Hericlitean scholarship: how is change possible? Karl Popper and G. S. Kirk tackle this same question. Kirk asserts that Heraclitus believed that change is present on a macrocosmic level and that all change is regulated by the cosmic principle logos. Popper, on the other hand, claims Heraclitus believed that change is microcosmic and rejected that all change is regulated by logos. I argue for a combination of aspects from each of their claims and conclude that change is present both microcosmically and macrocosmically and that all change is governed by logos

    Person-centred therapy : myths and reality

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    Debunks seven key myths about person-centred therap

    One parameter family of Compacton Solutions in a class of Generalized Korteweg-DeVries Equations

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    We study the generalized Korteweg-DeVries equations derivable from the Lagrangian: L(l,p)=(12φxφt(φx)ll(l1)+α(φx)p(φxx)2)dx, L(l,p) = \int \left( \frac{1}{2} \varphi_{x} \varphi_{t} - { {(\varphi_{x})^{l}} \over {l(l-1)}} + \alpha(\varphi_{x})^{p} (\varphi_{xx})^{2} \right) dx, where the usual fields u(x,t)u(x,t) of the generalized KdV equation are defined by u(x,t)=φx(x,t)u(x,t) = \varphi_{x}(x,t). For pp an arbitrary continuous parameter 0<p2,l=p+20< p \leq 2 ,l=p+2 we find compacton solutions to these equations which have the feature that their width is independent of the amplitude. This generalizes previous results which considered p=1,2p=1,2. For the exact compactons we find a relation between the energy, mass and velocity of the solitons. We show that this relationship can also be obtained using a variational method based on the principle of least action.Comment: Latex 4 pages and one figure available on reques
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