{"title":"Microscopic Basis of the Interacting Boson Model","authors":"T. Otsuka","doi":"10.1143/PTPS.125.5","DOIUrl":"https://doi.org/10.1143/PTPS.125.5","url":null,"abstract":"The microscopic basis of the IBM is discussed in this paper, presenting a derivation of the IBM system from the multi-nucleon system. Although there could be different approaches to this goal as stated in the preface of this supplement, we focus on two approaches. One is the Otsuka-Arima-Iachello mapping, which works for the spherical and near-spherical nuclei. The other is a mapping for deformed nuclei. In this paper, we discuss mapping methods for deriving the Interacting Boson Model (IBM). l) We first present a mapping method for spherical and near-spherical nuclei, usually referred to as the Otsuka-Arima-Iachello (OAI) mapping. 2 ), 3 ) The OAI mapping is based on the seniority scheme as will be discussed in detail. This mapping has been developed so that realistic calculations can be carried out as presented in a subsequent paper. In this paper, the basic concepts of the mapping are discussed rather in detail. Furthermore, the proton-neutron Interacting Boson Model (IBM-2) is discussed as a natural consequence of this mapping. 2 ), 3 ) In the second half of this paper, a mapping method for strongly deformed nuclei 8 ) will be reviewed. Although this mapping is for deformed nuclei, it is somewhat related to the OAI mapping. The work on deformed nuclei is much before any sort of completion, and considerable effort should be made in the future. For this purpose, the Quantum Monte Carlo Diagonalization method proposed recently 4 )- 7 ) may be useful. When the IBM was proposed from the phenomenological viewpoint by Arima and Iachello, the microscopic picture of bosons of this model was not known as pointed out in the preface of this supplement. The microscopic theory has made a crucial contribution even to phenomenological studies by the IBM, also as mentioned in the preface. Before starting rather detailed discussions, it may be useful to overview relevant properties of the effective nucleon-nucleon interactions. The short-range nuclear force favors two nucleons lying close to each other. This means that, if the wave functions of the two neutrons have large spatial overlap, the matrix element of this interaction becomes larger. On the other hand, two identical fermions cannot occupy the same quantum state, and this is the case for two neutrons. The next optimum case for gaining energy is that the two neutrons are moving on the same orbital but in opposite directions. Because the direction is opposite, the quantum states of the two neutrons are different. In this case, the total angular momentum of the two-neutron system is zero, because the rotation is completely cancelled. In fact, the","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64739090","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Microscopic Foundations of the Interacting Boson Model from the Shell-Model Point of View","authors":"N. Yoshinaga, T. Mizusaki, A. Arima, Y. D. Devi","doi":"10.1143/PTPS.125.65","DOIUrl":"https://doi.org/10.1143/PTPS.125.65","url":null,"abstract":"The validity of the essential ingredients of the microscopic formulation of the interacting boson model: (i) truncation of the shell-model or fermion space and (ii) the procedures for mapping the truncated fermion space on to the boson space, is tested over various (spherical, deformed and transitional) regions both in the simplistic single j-shell, identical boson sys tems and the more realistic multi j-shell, proton-neutron systems depending on the feasibility of such calculations. In the situations where the truncation and mapping procedures fail to reproduce the exact shell-model results, it is demonstrated that renormalization and higher order mapping procedures cure the associated problems, respectively and provide excellent agreements. In addition, a Hamiltonian of the interacting boson-fermion model which is relevant for a study of odd mass nuclei is derived for a single j-shell case in the shell-model framework, which yields results identical to those in the shell-model for the monopole pairing interaction.","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64739194","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Inelastic Neutron Scattering from Glass Formers","authors":"U. Buchenau","doi":"10.1143/PTPS.126.151","DOIUrl":"https://doi.org/10.1143/PTPS.126.151","url":null,"abstract":"Neutron spectra below and above the glass transition temperature show a pronounced difference between strong and fragile glass formers in Angell's fragility scheme. The strong anharmonic increase of the inelastic scattering with increasing temperature in fragile sub stances is absent in the strongest glass former SiOz. That difference is reflected in the temperature dependence of Brillouin sound velocities above the glass transition. Coherent inelastic neutron scattering data indicate a mixture of sound waves and local modes at the low frequency boson peak. A relation between the fragility and the temperature dependence of the transverse hypersound velocity at the glass temperature is derived.","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64740239","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Electronic and Ionic Interactions Analyzed through Concentration and Charge Fluctuations in KxKCL(1−x) Mixtures","authors":"L. Hily, J. Dupuy-Philon, J. Jal, P. Chieux","doi":"10.1143/PTPS.126.373","DOIUrl":"https://doi.org/10.1143/PTPS.126.373","url":null,"abstract":"A deeper insight into short, medium and long ranges behaviour of partial structure factors (PSF) measured in the rich metal domain of KxKCL(l-x) solutions as a function of composition shows up that structural changes are characterised by a non-linear perturbation of the screening properties prevailing in the pure metal liquid. Pseudopotential theory for describing the anion-conduction electron interaction, and perturbation calculations must be dropped. The correlation between long wavelength limits of PSF and thermodynamic is particularly difficult to unravel at k = 0. The structural changes observed in neutron diffraction indicate that a better understanding of these correlations consists in treating the correlation between charge fluctuations and atomic concentration fluctuations.","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64742402","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Motion of Interacting Particles in a Disordered Medium","authors":"J. Bosse, Y. Kaneko","doi":"10.1143/PTP.126.13","DOIUrl":"https://doi.org/10.1143/PTP.126.13","url":null,"abstract":"A binary liquid of disparate-size hard spheres in a supercooled state near the glass transition is proposed as a convenient model to study the dynamical properties of interacting (classical) particles in a disordered medium. We find unusually strong /1'-relaxation, which is related to the anomalous wavenumber-dependence of De bye-Waller factors in the glass.","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64006238","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
T. Yamaya, K. Katori, M. Fujiwara, S. Kato, S. Ohkubo
{"title":"ALPHA-CLUSTER STUDY OF 40CA AND 44TI BY THE (6LI, D) REACTION","authors":"T. Yamaya, K. Katori, M. Fujiwara, S. Kato, S. Ohkubo","doi":"10.1143/PTP.132.73","DOIUrl":"https://doi.org/10.1143/PTP.132.73","url":null,"abstract":"","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTP.132.73","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64022232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Present-Day Problems in Theory of Elementary Particles","authors":"M. Taketani","doi":"10.1143/PTPS.76.224","DOIUrl":"https://doi.org/10.1143/PTPS.76.224","url":null,"abstract":"Through the Japan-Brasil Collaboration in cosmic-ray experiment, there have been discovered the events of production and decay of H-quantum, SHquantum and UH-quantum in the phenomena of multiple production of mesons. They found other interesting events, too, such as the Centauro type, in the same region of extremely high energy. Experimental reports were published so far about these findings/> and their theoretical implications were synthetically discussed in a special issue of Supplement of Prog. Theor. Phys. in 1973.2> Later on, the experimental accuracy has been improved, and still more events have been discovered.8> This issue also contains their report of recent experimental results. I discussed the meaning of the importance of these findings in Prog. Theor. Phys. Suppl. No. 54 (1973), and also in my pamphlet \"Opening door to new physics\" distributed together with it. Almost all research workers of the theory of elementary particles seem to consider that the gauge theory or \"the unified theory of all fundamental forces\" has been a recent success in the theory of elementary particles. \"New physics\" that I mean, however, does not indicate the sort of things such as quark, charm, colour, gluon, weak boson, and so on, because all these things are what were considered on inferences from the theories hitherto presented, ranging from Sakata's two meson theory up to the Sakata model, the Nagoya model and others, and are what have been assumed in order to reinforce these former theories. \"New physics\" is the one that is concerned with such things as H-,SHand UH-quanta, Centauro phenomena and the related events, which were not expected at all from the former theories. These phenomena at ultra high energies are entirely new, and are named \"new states of matter\" by C. M.","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTPS.76.224","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64900223","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"PION DEGREES OF FREEDOM AND EMC EFFECT","authors":"A. Migdal","doi":"10.1143/PTPS.91.244","DOIUrl":"https://doi.org/10.1143/PTPS.91.244","url":null,"abstract":"A short review of the phenomena influenced by the pionic degrees of freedom in nuclei is given. The pionic mechanism of the EMC effect is discussed.","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64913489","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Comparison of Effective Ranges of n-p and p-p Interactions","authors":"G. Breit, K. A. Friedman, R. Seamon","doi":"10.1143/PTPS.E65.449","DOIUrl":"https://doi.org/10.1143/PTPS.E65.449","url":null,"abstract":"","PeriodicalId":20614,"journal":{"name":"Progress of Theoretical Physics Supplement","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1143/PTPS.E65.449","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64918952","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}