118649782
Unitarity restrictions on meson-nucleon helicity-flip amplitudes and slope of the diffraction peak
SummaryWe generalize the MacDowell-Martin bound on the slope parameterbA for the spinless case to the case of spin-0-spin-1/2 elastic scattering with parity conservation. We give the optimal answer for all energies as well as the simpler (slightly weaker) bound

$$cb^A \geqslant \frac{{\sigma _{tot}^2 }}{{36\pi \sigma _{el} }}\left[ {\sqrt {1 + \frac{{9\pi \sigma _{el} }}{{4k^2 \sigma _{tot}^2 }}} + 1} \right] - \frac{1}{{4k^2 }} (k = c.m. momentum).$$

 Here the superscript A refers to the absorptive-part contribution. We also obtain unitarity restrictions on the helicity-flip amplitude

$$cf_{ + - }^A (t)/\sqrt { - t} |_{t = 0} $$

 in terms ofσtot,σel, andbA(s).RiassuntoSi generalizza il limite di McDowell- Martin sul parametro di inclinazionebA per il caso privo di spin fino al caso dello seattering elastico tra spin nullo e spin 1/2 con conservazione della parità. Si dà una risposta ottimale per tutte le energie così come per il limite più semplice (leggermente più debole)

$$cb^A \geqslant \frac{{\sigma _{tot}^2 }}{{36\pi \sigma _{el} }}\left[ {\sqrt {1 + \frac{{9\pi \sigma _{el} }}{{4k^2 \sigma _{tot}^2 }}} + 1} \right] - \frac{1}{{4k^2 }}(k = impulso del centro di massa).$$

 L'esponente A si riferisce al contributo della parte assorbente. Si ottengono restrizioni di unitarietà sull'ampiezza dell'elicità-flip

$$cf_{ + - }^A (t)/\sqrt { - t} |_{t = 0} $$

 in termini diσtot,σel, ebA(S).РезюмеМы обобщаем гранипу МкДовелла-Мартина для параметра наклонаbA для бесспинового случая на случай упругого рассеяния спина 0 на спине 1/2 с сохранением четности. Мы приводим онтимальный ответ для всех энергий, а также более простую гранипу гдеk—импульс в системе центра масс. Здесь индекс Ν относится к абсорбционному вкладу. Мы также получаем ограничения на амплитуду с изменением спиральности

$$cf_{ + - }^A (t)/\sqrt { - t} |_{t = 0} $$

 в терминахσполн,σупр иbA(S).
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."
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.
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.
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.
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).
119451174
Ground States Rotational Band in Deformed e-e Nuclei
In the frame work of the hydrodynamical model, a new model of the ground state rotational bands of deformed e-e nuclei is developed by introducing the variable moment of inertia, and the effect of beta- and gamma- vibrational bands. The model is applied to calculate the energies of the ground state band of 158Dy. The results of our calculations are in close agreement with data compared with other existing models.
123024852
Results Of A Scintillating Fiber Preshower Detector For Identifying Electrons Via Synchrotron Radiation
120629215
Path-integral formulation of scattering theory: Central potentials
We consider central-potential scattering and determine a path-integral representation for the S matrix in polar coordinates. This is obtained by transforming to polar coordinates a Cartesian form of the nonrelativistic S matrix given by Campbell et al., and implementing an idea of Faddeev to obtain the appropriate asymptotic conditions. Our results are applied to scattering in an inverse-square potential to determine the correct phase shifts as well as the S matrix.
119234381
Suzaku X-ray spectral study of the Compton-thick Seyfert galaxy NGC 5135
We present the 0.5–50 keV Suzaku broad-band X-ray spectral study of the Compton-thick active galactic nucleus (AGN) in NGC 5135. The Suzaku observation provides the first detection of NGC 5135 above 10 keV that allowed us, for the first time, to estimate the absorbing column density, the intrinsic X-ray luminosity, the strength of the reflection component and the viewing angle of the torus for this AGN. The 0.5–10 keV spectrum of NGC 5135 is characterized by the standard components for a Compton-thick source: a scattered continuum, a prominent Fe Kα emission line [equivalent width (EW) ∼ 2.1 keV] and a soft excess. At higher energies (E > 10 keV), the intrinsic AGN continuum shows up, implying an absorbing column density of the order of ∼2.5 × 1024 cm−2 and the intrinsic 2.0–10 keV X-ray luminosity of ∼1.8 × 1043 erg s−1. Assuming a toroidal geometry of the reprocessing material, we show that an edge-on view of the obscuring torus is preferred in this source.
119072934
Transverse mass spectra and scaling of hadrons at RHIC and LHC energies
We present a systematic study of transverse mass spectra ($m_T$) of mesons and baryons at RHIC and LHC energies. In an earlier study, it was shown that all the mesons produced in p+p and d+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV follow $m_T$ scaling while in Au+Au collisions at same energy the mesons with strange and charm quark contents do not follow $m_T$ scaling which can be attributed to medium modifications. 
We extend this study for baryons produced in all above colliding systems at $\sqrt{s_{NN}}$ = 200 GeV. Although all available baryon spectra behave differently from mesons but are found to scale with protons for both p+p and d+Au collisions. In case of Au+Au collisions, the strange baryons behave differently from protons. 
This study has also been performed on the meson spectra in p+p collisions at 62.4 GeV which lies in between the highest RHIC energy and SPS energy where the $m_T$ scaling was first observed and we arrive at same conclusions as those at 200 GeV. 
We test the $m_T$ scaling at LHC with the first meson spectra measured in p+p collisions at 900 GeV and find that the $m_T$ spectra of kaons and $\phi$ do not scale with pions. Thus $m_T$ scaling which was working well up to p+p collisions at 200 GeV seems to be broken. Here we use all data measured in the mid rapidity region. Baryon to meson ratio is studied as a function of $m_T$, at different energies and for different systems and is found that this ratio for p+p at 900 GeV is quite different from that in p+p collisions at RHIC energies.