SNO+ is a multipurpose neutrino experiment located at SNOLAB. Its key purpose is investigating the neutrinoless double beta decay of 130Te, amongst other physics goals such as solar and reactor neutrino oscillations. The success of the experiment depends on the understanding of the optical properties of the detection materials, as well as a good understanding of potential background contributions. The calibration system used to study the Rayleigh scattering properties of the detector is presented and methods to model the system in Monte Carlo simulations based on commissioning run data are introduced. Furthermore, the analysis of the scattering length in a water-filled detector is described and demonstrated on a fake water-fill data set with an accuracy of the measured scattering length scaling factor of 1:1 %. The evaluation of the systematic uncertainties is presented. The background contributions originating from the 238U and 232Th decay chains during early SNO+ run phases are constrained using 214Bi214Po and 212Bi212Po delayed coincidences. The methods to identify these coincidences are presented and the challenges to apply them to an intermediate partial water-scintillator phase are discussed. It is shown that for the current target background rates the 238U and 232Th chain contents can be determined with an uncertainty of 4:1% and 27:6%.

Thesis (Ph. D.)--Ohio State University, 2006. / Title from first page of PDF file. Includes bibliographical references (p. 100-103).

The Morse/Long Range (MLR) potential has become one of the most reliable and highly used potential energy functions for diatomic molecules. It includes the theoretical long range behaviour that diatomic molecules are known to exhibit as they approach the dissociation limit. Heavy alkali metals with adjacent electronic states often exhibit strong coupling between the spin and orbital angular momentum. The ground state X¹Σg⁺ and the lowest lying triplet state aᶟΣᵤ⁺ of Cs₂ exhibit such coupling effects and as a result, modeling the highest vibrational states of these states is a non-trivial problem. Utilizing scattering length values obtained from published analysis of 60 Feshbach resonances, the correct form of the potential energy function was determined. Moreover, the scattering length values were used to determine the correct leading dispersion coefficient that describes the true form of the long-range potential energy functions. All previous attempts to determine global potential energy functions for these states have considered only the optical spectroscopic data. This is the first ever effort attempting to use scattering lengths determined from cold atom collision experiments in a combined analysis with conventional spectroscopic data.

There have been very few measurements of the total cross section for n-p scattering below 500 keV. In order to differentiate among NN potential models, improved cross section data between 20 and 600 keV are required. We measured the n-p and n-C total cross sections in this energy region by transmission; a collimated neutron beam was passed through CH2 and C samples and transmitted neutrons were detected by a BC-501A deuterated liquid scintillator. Cross sections were obtained by taking the ratios of normalized neutron yields with the samples in the beam and with no sample in the beam. Both better precision and larger range between 90 keV and 1.8 MeV results are presented. The parameters resulting from fitting effective range theory to the data for n-p scattering are in good agreement with parameters determined from previous fits.

The Morse/Long Range (MLR) potential has become one of the most reliable and highly used potential energy functions for diatomic molecules. It includes the theoretical long range behaviour that diatomic molecules are known to exhibit as they approach the dissociation limit. Heavy alkali metals with adjacent electronic states often exhibit strong coupling between the spin and orbital angular momentum. The ground state X¹Σg⁺ and the lowest lying triplet state aᶟΣᵤ⁺ of Cs₂ exhibit such coupling effects and as a result, modeling the highest vibrational states of these states is a non-trivial problem. Utilizing scattering length values obtained from published analysis of 60 Feshbach resonances, the correct form of the potential energy function was determined. Moreover, the scattering length values were used to determine the correct leading dispersion coefficient that describes the true form of the long-range potential energy functions. All previous attempts to determine global potential energy functions for these states have considered only the optical spectroscopic data. This is the first ever effort attempting to use scattering lengths determined from cold atom collision experiments in a combined analysis with conventional spectroscopic data.

The neutron-neutron (n-n) scattering length is a fundamental parameter in nuclear physics; however, measurements are plagued with large uncertainties caused by neutron detector cross talk. Many experimentalists also rely upon computer code to calibrate their neutron detectors. Experiments give one of two different numbers but there is still no adequate explanation for this discrepancy. We have developed a new neutron detector expressly for the purpose of improving the n-n scattering length measurement. It offers two important advantages: 1) minimal cross talk and 2) high counting efficiency. We calibrated the detector from 1 MeV to 6 MeV at 1 MeV increments. We have shown that the computer code, MCNP, does not always give the correct detector efficiency, and that reliance upon this code for calibration could be a large factor for error in previous experiments. Preliminary tests show no cross talk between two like detectors and suggest that these detectors in a n-n scattering length measurement.

Tunneling phenomenon has been studied since the time of Sir Isaac Newton. In the case of neutron tunneling phenomenon, it is the quantum mechanics wave-particle duality which manifests itself. In this case, particularly, the neutron wave-packet under total reflection condition suffers the so-called frustrated total reflection as known in standard optics. More accurately, this tunneling phenomenon shows itself via sharp dips in the plateau of total reflection. The prerequisite to observe such quantum mechanics phenomenon lies within a thin film Fabry-Perot resonator configuration. This thin film Fabry-Perot resonator geometry consists of two reflecting mirrors separated by a transparent material from a neutron optics viewpoint. In view of the specific neutron scattering properties related to the spin of the neutron wave-packet. As a direct proof, isotopic nickel based thin films Fabry-Perot resonator have been fabricated by depositing thin film of nickel by ion beam sputtering. The vacuum chamber was pumped down to the pressure of 10-8 mbar and deposition was performed at pressure of 2x10-4 mbar. The deposition rate was kept at 1.5 nm / minute and thickness layers were monitored by a calibrated quartz microbalance. Unpolarized neutron reflectometry measurements were carried out at the ORPHEE reactor using the time-of-flight EROS reflectometer. The incidence neutron wavelength varied between 3 – 25 Å. The grazing angle and angular resolution were of the order of 0.8˚ and 0.05 respectively. The software program, a Matlab routine for the simulation of specular X-ray and neutron reflectivity data with matrix technique, was employed to simulate the phenomenon and thereafter the experimentally obtained data and calculated (theoretical) data were compared. From the analysis of the comparison, a conclusion was drawn about the agreement between experimental data and theoretical data. The tunneling phenomenon has been observed in nanostructured isotopic nickel based thin film Fabry-Perot resonator. It manifested itself by the existence of dips, tunneling resonances, in the total reflection plateau due to quasi-bound states in the isotopic nickel based thin film Fabry-Perot resonator. In total, there were 7 tunneling resonances. The full widths at half maximum of these dips were found to decrease with increasing momentum wave vector transfer (Q) and this correlated to the neutron lifetime in the nanostructured isotopic nickel based thin film Fabry-Perot resonator. / Physics / M. Sc. (Physics)

A extensão dos fenômenos quânticos em escala macroscópica é responsável por toda uma classe de efeitos como a supercondutividade, superfluidez, e condensação de Bose-Einstein, as quais desempenham um papel central na física ao longo do século passado. A produção dos primeiros condensados de Bose-Einstein tornou possível a realização de experimentos envolvendo fenômenos quânticos macroscópicos com um nível sem precedentes de controle dos parâmetros externos. As correntes persistentes em condensados estão intimamente relacionados com a nucleação de vórtices quantificados, que são defeitos topológicos como resposta à transferência de quanta de momento angular. Um método convencional para geração de tais defeitos consiste em confinar a nuvem atômica condensada em uma armadilha com rotação. Acontece que, para velocidades angulares acima de um valor crítico, estados de vórtice se tornam energeticamente favoráveis, induzindo assim a criação de vórtices quânticos. Realizações experimentais de condensados de átomos de metais alcalinos confinados por potenciais dependentes do tempo permitiram a observação não só de redes de vórtices, mas também de turbulência quântica. Uma vez que a turbulência quântica é caracterizada pela presença de um emaranhado de vórtices quânticos interagindo entre si, uma correta compreensão da dinâmica, formação e estabilidade de vórtices tem se mostrado de grande importância sendo objeto de muitos trabalhos teóricos. Em particular, o papel das excitações acústicas geradas pelo decaimento de vórtices de multipla carga no desenvolvimento de turbulência ainda é uma questão em aberto. Este trabalho tem como objetivo fornecer um conjunto de ferramentas que ajude a identificar a presença, como também a carga de vórtices em nuvens (não turbulentas) observadas utilizando imagens de tempo-de-voo. Temos feito um estudo detalhado de condensados contendo vórtices carga múltipla colocados no seu centro, onde a dinâmica do tempo-de-voo é apenas de nossos pontos de interesse. Devido ao controle que este sistema fornece experimentalmente, os modos coletivos tornam-se uma descrição importante, uma vez que podem ser excitadas usando métodos experimentais bem estabelecido tal como a modulação do comprimento de espalhamento de ondas-s, e que também pode ser responsável pelo decaimento do vórtice. Para tais fins, temos utilizado o método variacional (semi-analítico), e o cálculo totalmente numérico da equação de Gross-Pitaevskii. Assim, descrevemos os modos coletivos que acoplam a dinâmica do vórtice com as oscilações das componentes externas do condensado, bem como os efeitos em tempo-de-voo. O momento angular atua aumentando a energia cinética em torno do núcleo de vórtice, que implica em um aumento mais rápido da direção perpendicular a este. Esta situação desloca as freqüências de oscilações coletivas de um estado livre de vórtice, e gera modos coletivos mais ricos devido ao acoplamento. Agora, existem quatro modos possíveis, sendo dois tipos de modo monopolar e dois tipos de modos de quadrupolo. A diferença dentre tais modos é a fase de oscilação do vórtice. Quando se considera flutuações sem simetria polar, seus modos coletivos resultam no decaimento do vórtice. A fim de controlar e prevenir estes processos propusemos três mecanismos dinâmicos, tais como a modulação de comprimento de espalhamento, a modulação das frequências da armadilha harmônica e modulação da amplitude do potencial de Laguerre-Gauss. O último tem provado ser mais eficaz. / The extension of quantum phenomena into macroscopic scales is responsible for a whole class of effects such as superconductivity, superfluidity, and Bose-Einstein condensation, which played central roles in physics throughout the last century. The production of the first Bose-Einstein condensates made possible the realization of experiments involving macroscopic quantum phenomena with an unprecedented level of control of the external parameters. The persistent currents in condensates are intimately related to the nucleation of quantized vortices, which are topological defects as response to transference of quanta of angular momentum. A conventional method for generation of such defects consists in confining the condensed atomic cloud into a rotating trap. It turns out that, for angular velocities higher than a critical value, vortex states become energetically favorable, thus inducing the creation of quantized vortices. Experimental realizations of condensed alkali-metal atoms confined by more general time-dependent potentials allowed the observation not only of vortex lattices but also of quantum turbulence. Since quantum turbulence is characterized by the presence of a self-interacting tangle of quantized vortices, the correct understanding of dynamics, formation, and stability of vortices has shown to be of paramount importance being the subject of many theoretical works. In particular, the role of acoustic excitations generated by decaying multi-charged vortices in the development of turbulence is still an open question. This work aims to provide a set of tools that helps to identify the presence as well as the charge of vortices in non-turbulent clouds observed using time-of-flight pictures. We have done a detailed study of condensates containing multi-charged vortices placed at its center where time-of-flight dynamics is only one point of our interest. Due to the control that this system provides experimentally, the collective modes become an important description since they can be excited using well stablished experimental methods as such as modulation of the s-wave scattering length, and they can also be responsible to vortex decaying. For such purposes we have used the semi-analytical variational method, and the fully numerical calculation of Gross-Pitaevskii equation. Thus we have describes the collective modes that couples dynamics of vortex with the oscillation of external components of condensed atomic cloud as well as the effects in time-of-flight. The angular momentum acts increasing the kinetic energy around the vortex core, which results in a faster expansion of perpendicular direction to it. This situation shifts the frequencies of collective oscillations of a vortex-free state, and generates richer collective modes due the coupling. Now there are four possible modes, being two types of monopole mode and two types of quadrupole modes. The difference among these types is the phase of vortex oscillation. When one considers fluctuations without polar symmetry, their collective modes result in the vortex decaying. In order to control and prevent these processes we have proposed three dynamical mechanisms such as modulation of s-wave scattering length, modulation of frequencies of harmonic trap, and modulation of the amplitude of Laguerre-Gauss potential. The last one has proven to be more effective.

Η εργασία αυτή περιγράφει αναλυτικά την κατασκευή και αξιολόγηση πειραματικής διάταξης ανακλαστικότητας ακτίνων-Χ, που πραγματοποιήθηκε στο Εργαστήριο Φυσικής Στερεάς Κατάστασης του τμήματος Φυσικής του Πανεπιστημίου Πατρών. Με τη βοήθεια αυτής της πειραματικής διάταξης θα είναι εύκολος ο καθορισμός των χαρακτηριστικών ιδιοτήτων επιφανειών καθώς επίσης και η μελέτη υμενίων τα οποία έχουν προσροφηθεί σε υποστρώματα. Στο πρώτο κεφάλαιο της εργασίας παρουσιάζονται οι βασικές σχέσεις υπολογισμού της ανακλαστικότητας καθώς και η μέθοδος ανάλυσης των πειραματικών αποτελεσμάτων. Στο επόμενο κεφάλαιο παρουσιάζονται αναλυτικά όλα τα βήματα που πραγματοποιήθηκαν για την κατασκευή της πειραματικής διάταξης. Στο κεφάλαιο αυτό περιγράφονται όλα τα μηχανικά μέρη του φασματόμετρου καθώς και οι απαιτούμενες ρυθμίσεις που πραγματοποιήθηκαν προκειμένου να εξασφαλιστεί η σωστή λειτουργία του. Με λήψη ενός φάσματος από ένα δείγμα πυριτίου και τον προσδιορισμό των γωνιών Bragg αποδείχθηκε η σωστή λειτουργία του γωνιομέτρου. Το επόμενο βήμα ήταν ο υπολογισμός της διακριτικής ικανότητας της συσκευής. Με υπολογιστικό πρόγραμμα [Ν. Κάτσενου Διπλωματική Εργασία] το οποίο λαμβάνει υπόψη του όλη την γεωμετρία της διάταξης υπολογίστηκε η διακριτική ικανότητα της συσκευής. Η τιμή της είναι 0.0120 και είναι σταθερή για τις γωνίες από 0.20 έως 1.60. Προκειμένου να βελτιωθεί η τιμή της διακριτικής ικανότητας είναι απαραίτητο να χρησιμοποιηθούν πολύ λεπτές σχισμές τόσο στη λυχνία όσο και στον απαριθμητή. Επιπροσθέτως κατασκευάστηκε ειδική διάταξη, “μαχαίρι”, το οποίο στηρίζεται στην βάση του δείγματος και όπως διαπιστώθηκε βελτιώνει την διακριτική ικανότητα της διάταξης και μειώνει το υπόστρωμα.. Ως τελευταίο βήμα ήταν ο υπολογισμός του υποστρώματος και η διόρθωσή του. Στο δεύτερο κεφάλαιο περιγράφεται αναλυτικά η διαδικασία διόρθωσης του υποστρώματος σε ένα φάσμα ανακλαστικότητας. Στην συνέχεια παρουσιάζονται πειραματικές μετρήσεις από διάφορα δείγματα. Σε όλα τα δείγματα χρησιμοποιήθηκε ως υπόστρωμα πυρίτιο. Στα περισσότερα από αυτά προσροφήθηκε, με την μέθοδο επίστρωσης με περιστροφή του υποστρώματος, πολυστηρένιο. Χρησιμοποιήθηκαν διάφορες συγκεντρώσεις διαλύματος πολυστηρενίου σε τολουόλιο προκειμένου να δημιουργηθούν δείγματα με διαφορετικά πάχη. Επίσης με την μέθοδο της εξάχνωσης εναποτέθηκε υμένιο αλουμινίου σε υπόστρωμα πυριτίου. Από τις πειραματικές μετρήσεις που προέκυψαν για την ανακλαστικότητα προκύπτει ότι η κρίσιμη γωνία ανάκλασης είναι 0.220 ενώ για γωνίες μεγαλύτερες από αυτή η ανακλαστικότητα αρχίζει και μειώνεται απότομα. Μέχρι την γωνία 2.00 η τιμή της ανακλαστικότητας μειώνεται περίπου έξι τάξεις μεγέθους. Χρησιμοποιώντας τις πειραματικές μετρήσεις που πήραμε μπορούμε να εξάγουμε πληροφορίες για το πάχος, την πυκνότητα και την τραχύτητα των επιφανειών που μελετάμε. Διαπιστώθηκε λοιπόν ότι η συσκευή λειτουργεί ικανοποιητικά. Βελτιώσεις που μπορούν να γίνουν αφορούν: α) Την κατασκευή θαλάμου κενού εντός του οποίου θα ευρίσκεται το δείγμα. Η βελτίωση αυτή θα επιτρέψει να λαμβάνονται φάσματα ανακλαστικότητας με πολύ χαμηλό υπόστρωμα. Με τον τρόπο αυτό θα βελτιωθεί η ποιότητα των φασμάτων για γωνίες ανάκλασης μεγαλύτερες από 1.20 γεγονός που θα δώσει πιο σαφής πληροφορίες για τη δομή πολύ λεπτών υμενίων. β) Μακροπρόθεσμα θα τοποθετηθεί στη συσκευή σύστημα παραλληλισμού της δέσμης το οποίο θα αυξήσει την ένταση της προσπίπτουσας ακτινοβολίας στο δείγμα. Με τον τρόπο αυτό θα ελαττωθεί ο χρόνος λήψης του συνολικού φάσματος ενώ ταυτόχρονα θα βελτιωθεί η στατιστική ιδιαίτερα στις μεγάλες γωνίες σκέδασης και θα καταστεί έτσι άνετη η μελέτη εξαιρετικά λεπτών υμενίων (μικρότερα των 20Å). / -

A extensão dos fenômenos quânticos em escala macroscópica é responsável por toda uma classe de efeitos como a supercondutividade, superfluidez, e condensação de Bose-Einstein, as quais desempenham um papel central na física ao longo do século passado. A produção dos primeiros condensados de Bose-Einstein tornou possível a realização de experimentos envolvendo fenômenos quânticos macroscópicos com um nível sem precedentes de controle dos parâmetros externos. As correntes persistentes em condensados estão intimamente relacionados com a nucleação de vórtices quantificados, que são defeitos topológicos como resposta à transferência de quanta de momento angular. Um método convencional para geração de tais defeitos consiste em confinar a nuvem atômica condensada em uma armadilha com rotação. Acontece que, para velocidades angulares acima de um valor crítico, estados de vórtice se tornam energeticamente favoráveis, induzindo assim a criação de vórtices quânticos. Realizações experimentais de condensados de átomos de metais alcalinos confinados por potenciais dependentes do tempo permitiram a observação não só de redes de vórtices, mas também de turbulência quântica. Uma vez que a turbulência quântica é caracterizada pela presença de um emaranhado de vórtices quânticos interagindo entre si, uma correta compreensão da dinâmica, formação e estabilidade de vórtices tem se mostrado de grande importância sendo objeto de muitos trabalhos teóricos. Em particular, o papel das excitações acústicas geradas pelo decaimento de vórtices de multipla carga no desenvolvimento de turbulência ainda é uma questão em aberto. Este trabalho tem como objetivo fornecer um conjunto de ferramentas que ajude a identificar a presença, como também a carga de vórtices em nuvens (não turbulentas) observadas utilizando imagens de tempo-de-voo. Temos feito um estudo detalhado de condensados contendo vórtices carga múltipla colocados no seu centro, onde a dinâmica do tempo-de-voo é apenas de nossos pontos de interesse. Devido ao controle que este sistema fornece experimentalmente, os modos coletivos tornam-se uma descrição importante, uma vez que podem ser excitadas usando métodos experimentais bem estabelecido tal como a modulação do comprimento de espalhamento de ondas-s, e que também pode ser responsável pelo decaimento do vórtice. Para tais fins, temos utilizado o método variacional (semi-analítico), e o cálculo totalmente numérico da equação de Gross-Pitaevskii. Assim, descrevemos os modos coletivos que acoplam a dinâmica do vórtice com as oscilações das componentes externas do condensado, bem como os efeitos em tempo-de-voo. O momento angular atua aumentando a energia cinética em torno do núcleo de vórtice, que implica em um aumento mais rápido da direção perpendicular a este. Esta situação desloca as freqüências de oscilações coletivas de um estado livre de vórtice, e gera modos coletivos mais ricos devido ao acoplamento. Agora, existem quatro modos possíveis, sendo dois tipos de modo monopolar e dois tipos de modos de quadrupolo. A diferença dentre tais modos é a fase de oscilação do vórtice. Quando se considera flutuações sem simetria polar, seus modos coletivos resultam no decaimento do vórtice. A fim de controlar e prevenir estes processos propusemos três mecanismos dinâmicos, tais como a modulação de comprimento de espalhamento, a modulação das frequências da armadilha harmônica e modulação da amplitude do potencial de Laguerre-Gauss. O último tem provado ser mais eficaz. / The extension of quantum phenomena into macroscopic scales is responsible for a whole class of effects such as superconductivity, superfluidity, and Bose-Einstein condensation, which played central roles in physics throughout the last century. The production of the first Bose-Einstein condensates made possible the realization of experiments involving macroscopic quantum phenomena with an unprecedented level of control of the external parameters. The persistent currents in condensates are intimately related to the nucleation of quantized vortices, which are topological defects as response to transference of quanta of angular momentum. A conventional method for generation of such defects consists in confining the condensed atomic cloud into a rotating trap. It turns out that, for angular velocities higher than a critical value, vortex states become energetically favorable, thus inducing the creation of quantized vortices. Experimental realizations of condensed alkali-metal atoms confined by more general time-dependent potentials allowed the observation not only of vortex lattices but also of quantum turbulence. Since quantum turbulence is characterized by the presence of a self-interacting tangle of quantized vortices, the correct understanding of dynamics, formation, and stability of vortices has shown to be of paramount importance being the subject of many theoretical works. In particular, the role of acoustic excitations generated by decaying multi-charged vortices in the development of turbulence is still an open question. This work aims to provide a set of tools that helps to identify the presence as well as the charge of vortices in non-turbulent clouds observed using time-of-flight pictures. We have done a detailed study of condensates containing multi-charged vortices placed at its center where time-of-flight dynamics is only one point of our interest. Due to the control that this system provides experimentally, the collective modes become an important description since they can be excited using well stablished experimental methods as such as modulation of the s-wave scattering length, and they can also be responsible to vortex decaying. For such purposes we have used the semi-analytical variational method, and the fully numerical calculation of Gross-Pitaevskii equation. Thus we have describes the collective modes that couples dynamics of vortex with the oscillation of external components of condensed atomic cloud as well as the effects in time-of-flight. The angular momentum acts increasing the kinetic energy around the vortex core, which results in a faster expansion of perpendicular direction to it. This situation shifts the frequencies of collective oscillations of a vortex-free state, and generates richer collective modes due the coupling. Now there are four possible modes, being two types of monopole mode and two types of quadrupole modes. The difference among these types is the phase of vortex oscillation. When one considers fluctuations without polar symmetry, their collective modes result in the vortex decaying. In order to control and prevent these processes we have proposed three dynamical mechanisms such as modulation of s-wave scattering length, modulation of frequencies of harmonic trap, and modulation of the amplitude of Laguerre-Gauss potential. The last one has proven to be more effective.