一维谐振子势阱中二全同粒子的空间关联

针对一维谐振子势阱中由两个全同粒子组成的体系,假设其空间波函数分别具有以下3种交换对称性:1)没有交换对称性,2)对于交换是反对称情况,3)对于交换是对称情况,讨论了二粒子空间相对位置的分布概率.并由此将量子力学教材中自由粒子情况下的结论推广至一维谐振子束缚态情形,即两个全同粒子无论是处于自由态还是束缚态,在空间波函数交换对称的情况下,两个粒子靠拢的概率最大,而交换反对称情况下,两个粒子靠近(r→0)的概率趋于零.论文结论有助于加深对量子力学中全同粒子交换对称性及其物理效应的理解.     

Angular correlations for semileptonic D meson decays

We study the exclusive semileptonicD meson decaysD→K+π+l+ν. For this we develop the general formalism for the joint angular distribution of the charged lepton and theK meson and calculate the helicity dependent decay widths which determine the full angular distribution for several models withK ^*(892) andK ₀ ^* (1430) intermediate state with nonresonant background terms calculated from chiral Lagrangians.     

Spatial correlations in two neutral kaon decays

Relativistic propagators, the natural tools in field theory to describe the space-time development of a quantum system, are used to study correlations and interferences present in the neutral kaon system due to time-reversal violations. The method allows for a general wave-packet treatment of the problem. While standard results are obtained for singleK decays, quite different results are derived for the interference phase in two kaon decays such as those at DAΦNE.     

Strangeness conservation and pair correlations of neutral kaons with close momenta produced in inclusive multiparticle processes

The phenomenological structure of inclusive cross sections of the production of two neutral K mesons in collisions of hadrons and nuclei is investigated taking into account the strangeness conservation in strong and electromagnetic interactions. The relations describing the dependence of the correlations of two short-lived and two long-lived neutral kaons K _S ⁰ K _S ⁰ , K _L ⁰ K _L ⁰ and the correlations of “mixed” pairs K _S ⁰ K _L ⁰ at small relative momenta upon the space-time parameters of the generation region of K ⁰ and mesons, which involve the contributions of Bose statistics and S-wave strong final-state interaction, have been obtained. It is shown that, under the strangeness conservation, the correlation functions of the pairs K _S ⁰ K _S ⁰ and K _L ⁰ K _L ⁰ , produced in the same inclusive process, coincide, and the difference between the correlation functions of the pairs K _S ⁰ K _S ⁰ and K _S ⁰ K _L ⁰ is conditioned by the production of the pairs of nonidentical neutral kaons K ⁰ . The text was submitted by the authors in English.     

On exact singular wave functions of two identical particles

We discuss the occurrence and properties of exact singular anyonic wave functions describing stationary states of two identical charged particles moving on a plane and under the influence of a perpendicular uniform magnetic field. Received 25 September 2001 / Received in final form 4 December 2001 Published online 2 October 2002 RID="a" ID="a"e-mail: truong@u-cergy.fr     

Quantum counterfactuality with identical particles

Quantum self-interference enables the counterfactual transmission of information, whereby the transmitted bits involve no particles traveling through the channel. In this work, we show how counterfactuality can be realized even when the self-interference is replaced by interference between identical particles. Interestingly, the facet of indistinguishability called forth here is associated with first-order coherence, and is different from the usual notion of indistinguishability associated with ...     

Angular momentum non-conserving decays in isotropic media

Various processes that are forbidden in vacuum due to angular momentum conservation can occur in a medium that is isotropic and does not carry any angular momentum. We illustrate this by considering explicitly two examples. The first one is the decay of a spin-0 particle into a photon and another spin-0 particle, using a model involving the Yukawa interactions of the scalar particles with a charged fermion field. The second one involves the decay of a neutrino into another neutrino and a graviton, in the standard model of particle interactions augmented with the linearized gravitational couplings.     

Angular correlations in nuclear fission

Interference effects in the angular distributions of products originating from binary and ternary nuclear fission induced by slow neutrons are reviewed.     

Angular correlations in pair creation

We present the Monte Carlo analysis of angular correlations in electron-positron pair production by the laser field-heavy ions impact process. It is shown that, for linearly polarized laser fields, pairs are created mainly in the plane spanned by the polarization vector and the laser photon momentum, and that the angular distribution of created electrons and positrons is anticorrelated.     

Quantum correlations of two optical fields close to electromagnetically induced transparency

We show that three-level atoms excited by two cavity modes in a Lambda configuration close to electromagnetically induced transparency can produce strongly squeezed bright beams or correlated beams which can be used for quantum nondemolition measurements. The input intensity is the experimental "knob" for tuning the system into a squeezer or a quantum nondemolition device. The quantum correlations become ideal at a critical point characterized by the appearance of a switching behavior in the mean fields intensities. Our predictions, based on a realistic fully quantum three-level model including cavity losses and spontaneous emission, allow direct comparison with future experiments.     

Angular momenta of fission fragments in the α-accompanied fission of 252Cf

For the first time, average angular momenta of the ternary fission fragments ^{100, 102}Zr, ¹⁰⁶Mo, ^{144, 146}Ba and ^{138, 140, 142}Xe from the α-accompanied fission of ²⁵²Cf were obtained from relative intensities of prompt γ-ray transitions with the use of the statistical model calculation. Average values of the angular momenta were compared with the corresponding values for the same fission fragments from the binary fission of ²⁵²Cf. Results indicate the presence of a decreasing trend in the average values of angular momenta induced in ternary fission fragments compared to the same binary fission fragments. On the average, the total angular momentum extracted for ternary fission fragments is ∼1.4 ℏ lower than in binary fission. Consequently, results indicate that the mechanism of the ternary α-particles emission may directly effect an induction of angular momenta of fission fragments, and possible scenarios of such mechanisms are discussed. Further, the dependence of the angular momenta of ¹⁰⁶Mo and ¹⁴⁰Xe on the number of emitted neutrons from correlated pairs of primary fragments was obtained also showing a decreasing dependence of average angular momenta with increasing number of emitted neutrons. Consequences are briefly discussed.     

Angular correlations and the tau-neutrino mass

Effects of a nonzero mass for the tau neutrinov _τ as well as a right-handed charged-current contribution to the τ?v _τ coupling are discussed. Angular correlations of the decay products of τ⁺τ^? ine ⁺ e ^? annihilation are calculated as functions of \(m_{v_\tau } \) and the relative amount of right-handed τ?v _τ coupling.     

Small-angle correlations of identical particles in carbon-carbon interactions atP=4.2 GeV/c per nucleon

Two-particle small-angle correlations between negative pions and between protons in carbon-carbon collisions atP=4.2 GeV/c per nucleon have been studied, both for an unbiased sample and for “central” events. A comparison of experimental π^? π^? andpp correlation functions with theoretical predictions has been made. A possible evidence for the existence of two fireballs in C+C interactions atP=4.2 GeV/c per nucleon is presented.     

Transverse momentum correlations in hadronic Z decays

Using data obtained with the ALEPH detector at the Z resonance, a measure based on transverse momentum is shown to exhibit a correlation between the two halves of a hadronic event which cannot be explained by energy-momentum conservation, flavour conservation, the imposition of an event axis or imperfect event reconstruction. Two possible interpretations based on existing Monte Carlo models are examined: a) ARIADNE, with the correlation forming early in the parton shower and with the transition from partons to hadrons playing only a minor part; b) JETSET, with the correlation forming at the fragmentation stage. A correlation technique based on a jet cluster analysis is used to make a comparison of the models with the data. It is concluded that both non-perturbative and perturbative effects make important contributions to the observed correlation.