119834941
Analytic continued fraction theory for a class of confinement potentials
We study a general class of confinement potentials in Schrödinger theory using the analytic theory of continued fractions. We construct an infinite continued fraction representation for the Green's function and study its convergence, its analytic properties in the major coupling constant and its relation to the perturbation series. We prove the existence of normalizable confined state eigensolutions with equally spaced energy levels if certain constraints on the coupling constants of the theory are satisfied: we also show that under a separate set of constraints neither bound nor confined states exist.
123580858
Unitarity upper bound on the absorptive parts of elastic scattering amplitudes
We derive a unitarity upper bound on the absorptive part A(s, t) of the elastic-scattering amplitude in the physical region. In the diffraction peak region the bound on A(s, t)/A(s, 0) is a function only of the parameter σ tot 2 (−t)/4πσ el . Assuming the diffraction scattering to be purely absorptive and spin independent we find the pp, pp, and π ± p data to lie a little below the theoretical upper bound. Further the experimental curve of X(t)/X(0) vs −4tX(0)/σ el , where X(t)≡dσ/dt, seems "universal."
117295648
REGGE POLES AND ASYMPTOTIC BEHAVIOR IN THE ANALYTIC CONTINUATION OF THE PION-NUCLEON SCATTERING AMPLITUDE
35249306
Quantum violation of stochastic noncontextual hidden-variable theories.
We formulate stochastic noncontextual hidden-variable theories. In such theories the hidden state λ specifies not definite values, but expectation values A − (λ), ... of observables A, ... and noncontextuality means that A − (λ) is independent of which other commuting observables commuting with A are measured together with A. We show via Bell inequalities that such theories conflict with quantum theory and propose a two-photon experimental test. We also show that for a single particle of spin (2 n −1)/2, quantum violation of classical noncontextuality grows exponentially with n.
120223172
psi particles, SU(4), and anomalous currents
We propose assignment of the new ψ particles in an SU(4) symmetry scheme, incorporating SU(3) and a new additive quantum number, paracharge Z. Anomalous currents are introduced to account for the production and decays of these particles. Two more rather broad resonances at around 4.3 and 5.0 (±0.2) GeV are expected in the e + e - annihilation, one of which has recently been reported (at 4.15 GeV).
123620633
Time-dependent Aharonov-Bohm Hamiltonian and admissibility criteria of quantum wave functions
SummarySelf-adjointness of the time-independent Aharonov-Bohm Hamiltonian is shown to allow a continuous family of different dynamics including those following from Pauli's criterion of rotational invariance, Aharonov-Bohm criterion of single valuedness and a version of Pauli's criterion appropriate to cylindrical symmetry suggested by Henneberger. A time-dependent fluxF(t) linking the Aharonov-Bohm solenoid leads to the time-dependent AB Hamiltonian. Explicit solutions in cases with and without inaccessible regions for the charged particle rule out applicability of both versions of the Pauli criterion. The solutions contain one time-independent parameter α, integer values of which correspond to single-valued wave functions. Any real (integer or noninteger) value of α is allowed. Charge and current densities depend on α andF(t) only through the combination α−eF(t)/2π and lead to the conclusion that physical effects of changing the flux during an experiment can be understood as local effects of the electric field inevitably associated with changing magnetic flux.RiassuntoSi mostra che la qualità di essere autoaggiunta dell'hamiltoniana indipendente dal tempo di Aharonov-Bohm permette una famiglia continua di dinamiche differenti che comprendono quelle che seguono dal criterio di Pauli dell'invarianza rotazionale, dal criterio di Aharonov-Bohm del singolo valore e da una versione del criterio di Pauli appropriata alla simmetria cilindrica suggerita da Henneberger. Un flussoF(t) dipendente del tempo che lega il solenoide di Aharonov-Bohm porta all'hamiltoniana AB dipendente dal tempo. Soluzioni esplicite nei casi con e senza regioni inaccessibili per la particella carica escludono l'applicabilità di entrambe le versioni del criterio di Pauli. Le soluzioni contengono un parametro indipendente del tempo α, i valori interi del quale corrispondono a funzioni d'onda a valore singolo. Si ammette qualunque valore reale di α (intero o non intero). La densità di carica e di corrente dipendono da α eF(t) solo attraverso la combinazione α−eF(t)/2π e portano alla conclusione che effetti fisici di cambiare il flusso durante un'esperimento possono essere considerati come effetti locali del campo elettrico inevitabilmente associato con il cambiamento del flusso magnetico.РезюмеПоказывается, что самосопряженность зависящего от времени Гамильтониана Аронова-Бома допускает непрерывное семейство различных динамик, включая динамики, которые вытекают из критерия Паули для ротационной инвариантности, критерия Аронова-Бома для однозначности и варианта критерия Паули, соответствующего цилиндрической симметрии, предложенной Хеннебергером. Зависящий от времени потокF(t), сваязывающий соленоид Аронова-Бома, приводит к зависящему от времени Гамильтониану Аронова-Бома. Точные решения в случае наличия и в случае отсутствия недоступных областей для заряженных частиц исключают возможность применения обоих вариантов критерия Паули. Решения содержат один зависящий от времени параметр α, целые значения которого соответствуют однозначным волновым функциям. Допускается любое вещественное (целое или не целое) значение параметра α. Плотности заряда и тока зависят от α иF(t) только через комбинацию α−eF(t)/2π. Этот результат приводит к выводу, что физические эффекты изменения потока во время эксперимента могут бытя интерпретированы, как локальные эффекты электрического поля, неизбежно связанные с изменяющимся магнитным потоком.
122493550
Feynman path-integral approach to the Aharonov-Bohm effect
The Aharonov-Bohm effect is investigated in the Feynman path-integral formulation of quantum mechanics. We consider an idealized situation with an electron moving in a magnetic-field-free region outside a solenoid whose radius to length ratio is very small. The nonvanishing vector potential term in the Lagrangian is written as an angular-velocity-dependent potential. In order to account for a singularity due to the presence of the solenoid itself, a periodic constraint is imposed on the path integral. The propagator can then be evaluated using the polar-coordinate methods of Peak and Inomata. It is found that the propagator has the general form $K({\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}^{\ensuremath{'}\ensuremath{'}},{\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}^{\ensuremath{'}};\ensuremath{\tau})=\ensuremath{\Sigma}{n}^{}{\ensuremath{\chi}}_{n}{K}_{n}({\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}^{\ensuremath{'}\ensuremath{'}},{\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}^{\ensuremath{'}};\ensuremath{\tau})$ where the sum is taken over all classes of homotopic paths and the ${\ensuremath{\chi}}_{n}$ are a one-dimensional representation of the homotopy group. This is the form of the propagator as conjectured by Schulman.
122331597
Some Anisotropic Homogeneous Cosmological Models in Self-creation Cosmology
The paper presents an exact solution of cylindrically symmetric cosmological models which are of Petrov type-I or Petov type-D in Barber’s second self-creation theory of gravitation. Some physical and geometrical properties of these models are also discussed.
123024852
Results Of A Scintillating Fiber Preshower Detector For Identifying Electrons Via Synchrotron Radiation
119421763
High precision study of the space distribution of the colour flux in the SU(2) lattice gauge theory
Abstract The work of the Cracow-LSU collaboration on the space structure of the colour fields around the static charges is reported. We find that the large cancellations between the electric and magnetic energy densities lead to a narrow tube.
118383356
System size dependence of hadron $p_T$ spectra in p+p and Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV
We make a systematic study of transverse momentum ($p_T$) spectra of hadrons produced in $p+p$ and in different centralities of Au+Au collisions at $\sqrt{s}=200$\,GeV using phenomenological fit functions. The Tsallis distribution gives a very good description of hadron spectra in $p+p$ collisions with just two parameters but does not produce the same in Au+Au collisions at intermediate $p_{T}$. To explain the hadron spectra in heavy ion collisions in a wider $p_{T}$ range we propose a modified Tsallis function by introducing an additional parameter which accounts for collective flow. The new analytical function gives a very good description of both mesons and baryons spectra at all centralities of Au+Au collisions in terms of parameters having a potential physics interpretation. With this modified Tsallis function we study the spectra of pions, kaons, protons, $\Lambda(1115)$ and $\Xi^{-}$ as a function of system size at $\sqrt{s_{NN}}$ = 200 GeV. The parameter representing transverse flow increases with system size and is found to be more far baryons than that for mesons in central Au+Au collisions. The freeze-out temperature for baryons increases with centrality in Au+Au collisions more rapidly than for mesons.