Doorway states and the Bose-Hubbard model

We introduce an efficient method to solve the Mott-Hubbard model. The Schr\"{o}dinger equation is solved by the successive construction of doorway states. The ground state wavefunction derived by this method contains all relevant many-body correlations introduced by the hamiltonian, but the dimensionality of the Hilbert space is greatly reduced. We apply the doorway method to obtain the chemical potential, the on-site fluctuations and the visibility of the interference pattern arising from atoms in a one-dimensional periodic lattice. Excellent agreement with exact numerical calculations as well as recent experimental observations is found.Comment: 4 figure

Transverse momentum spectra of charged particles in proton-proton collisions at s=900\sqrt{s} = 900 GeV with ALICE at the LHC

The inclusive charged particle transverse momentum distribution is measured in proton-proton collisions at $\sqrt{s} = 900$ GeV at the LHC using the ALICE detector. The measurement is performed in the central pseudorapidity region $(|\eta|<0.8)$ over the transverse momentum range $0.15<p_{\rm T}<10$ GeV/$c$. The correlation between transverse momentum and particle multiplicity is also studied. Results are presented for inelastic (INEL) and non-single-diffractive (NSD) events. The average transverse momentum for $|\eta|<0.8$ is $\left<p_{\rm T}\right>_{\rm INEL}=0.483\pm0.001$ (stat.) $\pm0.007$ (syst.) GeV/$c$ and \left_{\rm NSD}=0.489\pm0.001 (stat.) $\pm0.007$ (syst.) GeV/$c$, respectively. The data exhibit a slightly larger $\left<p_{\rm T}\right>$ than measurements in wider pseudorapidity intervals. The results are compared to simulations with the Monte Carlo event generators PYTHIA and PHOJET.Comment: 20 pages, 8 figures, 2 tables, published version, figures at http://aliceinfo.cern.ch/ArtSubmission/node/390

Production of pions, kaons and protons in pp collisions at s=900\sqrt{s}=900 GeV with ALICE at the LHC

The production of $\pi^+$, $\pi^-$, $K^+$, $K^-$, p, and pbar at mid-rapidity has been measured in proton-proton collisions at $\sqrt{s} = 900$ GeV with the ALICE detector. Particle identification is performed using the specific energy loss in the inner tracking silicon detector and the time projection chamber. In addition, time-of-flight information is used to identify hadrons at higher momenta. Finally, the distinctive kink topology of the weak decay of charged kaons is used for an alternative measurement of the kaon transverse momentum ($p_{\rm T}$) spectra. Since these various particle identification tools give the best separation capabilities over different momentum ranges, the results are combined to extract spectra from $p_{\rm T}$ = 100 MeV/$c$ to 2.5 GeV/$c$. The measured spectra are further compared with QCD-inspired models which yield a poor description. The total yields and the mean $p_{\rm T}$ are compared with previous measurements, and the trends as a function of collision energy are discussed.Comment: 24 pages, 18 captioned figures, 5 tables, published version, figures at http://aliceinfo.cern.ch/ArtSubmission/node/388

Sympathetic cooling and growth of a Bose-Einstein condensate

We study two sets of rate equations for sympathetic cooling of harmonically trapped Bose gases. Calculations for mixtures of Na-Rb and Li-Cs show that both sets yield similar results for the cooling times. The equilibration rates are in fair agreement with each other and differ considerably from classical rates. The onset of Bose-Einstein condensation is rather sudden and nonexponential in time, and the growth of the condensate differs for the two different mixtures we studied

Propagação in vitro de Baptistonia pubes (Lindl.) Chiron & V.P. Castro (Oncidium pubes Lindl.) (Orchidaceae) Propagation in vitro of Baptistonia pubes (Lindl.) Chiron & V.P. Castro (Oncidium pubes Lindl. - Orchidaceae)

Baptistonia pubes é uma epífita que ocorre na Floresta Atlântica do Brasil, no Paraguai e norte da Argentina. É considerada espécie vulnerável e ameaçada de extinção. Nossos objetivos foram avaliar a eficácia da germinação de suas sementes e o crescimento em dois pHs utilizando-se dois meios de cultura: Murashige-Skoog (modificado - (MS)) e meio nutritivo à base de banana nanica acrescido de NPK 20-20-20 (Plant Prood®) (BAN) variando-se as concentrações de nutrientes e pH para a germinação e para o crescimento inicial das plântulas. As sementes germinaram em média 15 dias após a inoculação, em todas as condições. A porcentagem de germinação variou entre 2,6 a 11,6%, sendo que a maior porcentagem ocorreu no pH=5,2 BAN e a menor no pH=6,2 MS/2. O meio BAN foi mais eficiente na germinação. Os pHs, em cada meio, alteraram significativamente as médias das sementes germinadas. As plântulas cresceram mais no meio nutritivo à base de banana nanica no pH = 5,2.<br>Baptistonia pubes is an epiphyte that grows in Brazilian Atlantic Forest, in Paraguay and northern Argentina. It is considered vulnerable and threatened with extinction. Our aim was to verify seed germination efficiency and growth at two pHs, using two culture mediums: Murashige-Skoog (modified - (MS)) and banana pulp with added NPK 20-20-20 (Plant Prood®) (BAN), with varied nutrient and pH concentrations for germination and for growth. The seeds germinated on average 15 days after the inoculation, at all conditions. The percentage of germination varied between 2.6 and 11.6 %. The highest percentage was at pH=5.2 BAN and the lowest at pH=6.2 MS/2. The banana pulp was most efficient for germination. The pHs, in each environment, altered significantly the averages of the germinated seeds. Seedling growth showed better results in the banana medium, pH = 5.

Transverse momentum spectra of charged particles in proton-proton collisions at 1as=900 GeV with ALICE at the LHC

The inclusive charged particle transverse momentum distribution is measured in proton-proton collisions at s=900 GeV at the LHC using the ALICE detector. The measurement is performed in the central pseudorapidity region (|\u3b7|<0.8) over the transverse momentum range 0.15<10 GeV/c. The correlation between transverse momentum and particle multiplicity is also studied. Results are presented for inelastic (INEL) and non-single-diffractive (NSD) events. The average transverse momentum for |\u3b7|<0.8 is \u3008pT\u3009INEL=0.483\ub10.001 (stat.)\ub10.007 (syst.) GeV/c and \u3008pT\u3009NSD=0.489\ub10.001 (stat.)\ub10.007 (syst.) GeV/c, respectively. The data exhibit a slightly larger \u3008pT\u3009 than measurements in wider pseudorapidity intervals. The results are compared to simulations with the Monte Carlo event generators PYTHIA and PHOJET. \ua9 2010

ALICE Electromagnetic Calorimeter Technical Design Report

The ALICE Electromagnetic Calorimeter technical design is reported