735 research outputs found

    Quasimolecular structure in elastic O16 + O16 scattering

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    It is suggested that the experimentally observed intermediate structure in the cross section of elastic O16 + O16 scattering is due to quasibound molecular states of the ion-ion system while the gross structure originates from virtually bound molecular states

    Solutions to the 1d Klein-Gordon equation with cutoff Coulomb potentials

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    In a recent paper by Barton (J. Phys. A40, 1011 (2007)), the 1-dimensional Klein-Gordon equation was solved analytically for the non-singular Coulomb-like potential V_1(|x|) = -\alpha/(|x|+a). In the present paper, these results are completely confirmed by a numerical formulation that also allows a solution for an alternative cutoff Coulomb potential V_2(|x|) = -\alpha/|x|, ~|x| > a, and otherwise V_2(|x|) = -\alpha/a.Comment: 8 pages, 4 figure

    Relativistic Comparison Theorems

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    Comparison theorems are established for the Dirac and Klein--Gordon equations. We suppose that V^{(1)}(r) and V^{(2)}(r) are two real attractive central potentials in d dimensions that support discrete Dirac eigenvalues E^{(1)}_{k_d\nu} and E^{(2)}_{k_d\nu}. We prove that if V^{(1)}(r) \leq V^{(2)}(r), then each of the corresponding discrete eigenvalue pairs is ordered E^{(1)}_{k_d\nu} \leq E^{(2)}_{k_d\nu}. This result generalizes an earlier more restrictive theorem that required the wave functions to be node free. For the the Klein--Gordon equation, similar reasoning also leads to a comparison theorem provided in this case that the potentials are negative and the eigenvalues are positive.Comment: 6 page

    Ear pain in patients with oropharynx carcinoma: how MRI contributes to the explanation of a prognostic and predictive symptom

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    Reflex otalgia is a predictive and prognostic parameter for local control in patients with oropharynx carcinoma. Can a morphologic correlate of this important symptom be detected by MRI? Thirty-six patients were prospectively evaluated by MRI before radical radiotherapy. Sixteen patients had reflex otalgia; 20 did not. The oropharynx and adjacent regions were analyzed. Alteration was defined as effacement of anatomical structures, signal alteration or enhancement after contrast medium administration. The χ 2-test was used to compare categorical parameters. In patients with reflex otalgia, alteration of the following structures innervated by the glossopharyngeal nerve were found significantly more often: nasopharynx, hard palate, superior constrictor pharyngis muscle, palatine tonsil, palatopharyngeus muscle, palatoglossus muscle, stylopharyngeus muscle, hyoglossus muscle and preepiglottic space. No difference was found for the muscles of mastication, levator and tensor veli palatini muscles, styloglossus muscle, genioglossus muscle, intrinsic muscles of the tongue, digastric muscles, mucosal surface of the lateral and posterior pharyngeal wall, uvula, valleculae, parapharyngeal space and larynx. An alteration of structures innervated by the glossopharyngeal nerve was visualized on MRI significantly more often when reflex otalgia was present. Involvement of structures innervated by other cranial nerves did not show the same association with ear pai

    Klein-Gordon lower bound to the semirelativistic ground-state energy

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    For the class of attractive potentials V(r) <= 0 which vanish at infinity, we prove that the ground-state energy E of the semirelativistic Hamiltonian H = \sqrt{m^2 + p^2} + V(r) is bounded below by the ground-state energy e of the corresponding Klein--Gordon problem (p^2 + m^2)\phi = (V(r) -e)^2\phi. Detailed results are presented for the exponential and Woods--Saxon potentials.Comment: 7 pages, 4 figure

    1D Bose Gases in an Optical Lattice

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    We report on the study of the momentum distribution of a one-dimensional Bose gas in an optical lattice. From the momentum distribution we extract the condensed fraction of the gas and thereby measure the depletion of the condensate and compare it with a theorical estimate. We have measured the coherence length of the gas for systems with average occupation nˉ>1\bar{n}>1 and nˉ<1\bar{n}<1 per lattice site.Comment: 4 pages, 3 figure

    A Microcystic Adnexal Carcinoma in the Auditory Canal 15 Years after Radiotherapy of a 12-Year-Old Boy with Nasopharynx Carcinoma

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    Background: : Radiogenic malignancies require cure of the primary disease and a prolonged survival. The introduction of high-volt technology in the 1950s and 1960s made radical radiotherapy feasible and successful in terms of higher cure rates and longer survival. We are already in a time when a higher number of patients with radiogenic secondary malignancies must be expected. Case Report: : A 12-year-old boy is reported who suffered from an advanced nasopharynx carcinoma and was treated with radical irradiation in 1983. 15 years later he developed a rare microcystic adnexal carcinoma of the auditory canal inside the volume of the target dose. The secondary malignant neoplasm was resected and required another radiation treatment (1 Gy b.i.d.) due to involved margins. Discussion and Literature Review: : The entity of microcystic carcinoma is discussed with a review of the literature on biology, diagnosis, and treatmen

    Hybrid Clutch Assembly for an Aircraft

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    A hybrid clutch assembly inserted between an internal com­bustion engine and the propeller of an aircraft to provide a hybrid-powered aircraft. The hybrid clutch assembly allows a direct current (DC) electric motor to be attached to the hybrid clutch assembly using drive belts. The hybrid clutch assembly allows the internal combustion engine to transmit power to the aircraft\u27s propeller and freely spin the DC motor. The DC motor can transmit power to the aircraft\u27s propeller without turning the internal combustion engine. The hybrid clutch assembly independently allows either the internal combus­tion engine or the DC motor in parallel to power the aircraft\u27s propeller. The hybrid clutch assembly includes a hybrid clutch, a drive belt housing, a hybrid clutch assembly shaft, and an adapter plate. The hybrid clutch connects to the drive belt housing a hybrid clutch assembly shaft. The adapter plate enables connection of the hybrid clutch to the internal com­bustion engine propeller flange. The drive belt housing enables connection of the hybrid clutch to the propeller. The DC motor is connected to the drive belt housing drive belts

    Hybrid Assembly for an Aircraft

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    A propeller driven aircraft powered by either an internal combustion engine or an electric motor. The parallel system hybrid aircraft can takeoff with the internal combustion engine and climb to a cruising altitude. The internal combus­tion engine then can be turned off and the electric motor turned on to power the aircraft\u27s propeller. The aircraft is capable of alternating operation between the electric motor and internal combustion engine as often as required at alti­tude. The aircraft can be landed using either the internal combustion engine or the electric motor. The transition of power from the internal combustion engine to the electric motor and back is performed through a hybrid clutch and pulley assembly that interconnects the internal combustion engine propeller flange to the propeller driveshaft. The elec­tric motor is connected to the hybrid assembly through belts and sheaves. The electric motor throttle is controlled in the cockpit
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