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.
37383185
JOINT PROBABILITIES REPRODUCING THREE EPR EXPERIMENTS ON TWO QUBITS
An eight-parameter family of the most general non-negative quadruple probabilities is constructed for EPR–Bohm–Aharonov experiments when only three pairs of analyser settings are used. It is a simultaneous representation of three different Bohr-incompatible experimental configurations involving mutually noncommuting observables valid for arbitrary quantum states.
123264743
Rigorous sum rules and bounds on pion-pion scattering lengths
Abstract We deduce from axiomatic field theory rigorous sum rules, and upper and lower bounds on S-and P-wave ππ scattering lenghts in terms of physical region forward ππ amplitudes, and also absolute sum rule inequalities on those amplitudes involving pion mass alone.
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.
119187939
Two source emission behaviour of alpha fragments of projectile having energy around 1 GeV per nucleon
84 Kr interactions with nuclei of the nuclear emulsion detector composition at relativistic energy below 2 GeV per nucleon. The angular distribution of projectile fragments alpha in terms of transverse momentum could not be explained by a straight and clean-cut collision geometry hypothesis of Participant – Spectator (PS) Model. Therefore, it is assumed that projectile fragments alpha were produced from two separate sources that belong to the projectile spectator region differing drastically in their temperatures. It has been clearly observed that the emission of projectile fragments alpha are from two different sources. The contribution of projectile fragments alpha from contact layer or hot source is a few percent of the total emission of projectile fragments alphas. Most of the projectile fragments alphas are emitted from the cold source. It has been noticed that the temperature of hot and cold regions are dependent on the projectile mass number. Nuclear fragmentation is an important experimental phenomenon in nucleus – nucleus collisions at relativistic high energy and heavy ion [1]. The PS Model is a simple and basic model for the study of the high energy nucleus – nucleus collisions. The emission of projectile fragments alpha has been studied in lots of high energy heavy ion experiments having energy more than a GeV per nucleon and the general consensus was that they are coming out from the projectile spectator part in the context of a PS Model [2]. According to the PS Model, the interacting system in high energy nucleus – nucleus collisions can be clearly divided into three regions such as target and projectile spectators and a participant region. The overlapping region of the two colliding nuclei is called the participant region and the other regions are called the target and the projectile spectators, respectively. Data from lighter projectiles has been successfully explained with the help of PS Model but data from heavy ion interactions pointed finger towards the PS Model because experiments observed many projectile fragments alpha having larger emission angle that could not be explained by the straight and clean-cut collision geometry picture of the PS Model. Therefore, this large angle scattering indicated the failure of the PS Model and forced us to rethink and modify this model according to the physics requirements and the idea of multiple sources i.e. emission of projectile fragments alpha from different sources having different temperature has been introduced [3]. In this paper, we analyzed the transverse momentum distributions of projectile fragments alpha produced in 84 Kr interactions with the nuclei of the Nuclear Emulsion Detector’s (NED) target at around 1 GeV per nucleon kinetic energy [4]. Experimental techniques are briefly
123138859
Determination of shell correction energies at saddle point using pre-scission neutron multiplicities
Abstract Pre-scission neutron multiplicities have been measured for 12 C +  194, 198 Pt systems at matching excitation energies at near Coulomb barrier region. Statistical model analysis with a modified fission barrier and level density prescription have been carried out to fit the measured pre-scission neutron multiplicities and the available evaporation residue and fission cross sections simultaneously to constrain statistical model parameters. Simultaneous fitting of the pre-scission neutron multiplicities and cross section data requires shell correction at the saddle point.
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.
45414206
Measurement of the penetration depth and coherence length in U(1) and SU(2) dual Abrikosov vortices
Abstract We calculate the electric field and the curl of the magnetic monopole current for U(1) and for SU(2) in the maximal Abelian gauge in the mid-plane between a quark antiquark pair. The results can be understood as a dual Abrikosov vortex in the Ginzburg-Landau theory.