The spin-orbit interactions in the quark cluster models are reviewed in this article. The observed spin-orbit force between two nucleons is strong, while that in the excited baryons or in the ΛN interaction is small. We try to sort out whether the quark cluster model can produce a spin-orbit force which explains these features simultaneously. Various works which include the spin-orbit force with different origins such as gluons, mesons, or coupling to other channels are compared to each other. The roles of the symmetric and anti-symmetric spinorbit forces in the NN scattering phase shifts and in the Y N low-energy cross sections and the phase shifts are investigated.
{"title":"Spin-Orbit Interactions between Two Baryons","authors":"S. Takeuchi, O. Morimatsu, Y. Tani, M. Oka","doi":"10.1143/PTPS.137.83","DOIUrl":"https://doi.org/10.1143/PTPS.137.83","url":null,"abstract":"The spin-orbit interactions in the quark cluster models are reviewed in this article. The observed spin-orbit force between two nucleons is strong, while that in the excited baryons or in the ΛN interaction is small. We try to sort out whether the quark cluster model can produce a spin-orbit force which explains these features simultaneously. Various works which include the spin-orbit force with different origins such as gluons, mesons, or coupling to other channels are compared to each other. The roles of the symmetric and anti-symmetric spinorbit forces in the NN scattering phase shifts and in the Y N low-energy cross sections and the phase shifts are investigated.","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":"64752655","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":"Test for Scaling Rule in Multi-Meson Production at Cosmic Ray Energies around 100 TeV","authors":"T. Tabuki","doi":"10.1143/PTPS.76.40","DOIUrl":"https://doi.org/10.1143/PTPS.76.40","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":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64900309","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}
The application of the quark cluster model to the nucleon-nucleon interaction is reviewed. A brief discussion is given on the strongly overlapping region for two nucleons where quarks are expected to play important roles. After a short explanation of the quark cluster model, the short-range repulsion, the medium range attraction, the spin-orbit force and the short range tensor force are discussed both in the conventional two-body model of confinement and the recently proposed flip-flop model.
{"title":"Nuclear Force in the Quark Cluster Model","authors":"K. Yazaki","doi":"10.1143/PTPS.91.146","DOIUrl":"https://doi.org/10.1143/PTPS.91.146","url":null,"abstract":"The application of the quark cluster model to the nucleon-nucleon interaction is reviewed. A brief discussion is given on the strongly overlapping region for two nucleons where quarks are expected to play important roles. After a short explanation of the quark cluster model, the short-range repulsion, the medium range attraction, the spin-orbit force and the short range tensor force are discussed both in the conventional two-body model of confinement and the recently proposed flip-flop model.","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":"64913358","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}
We start from one gluon exchange mechanism to derive a quark-antiquark pair creation transition potential, and study some strong interaction processes, such as baryon-meson vertices, NN interactions and meson decays, by using this transition potential. The coupling constants of the vertices are consistent with the experimental data, except for the case of JC meson, in which the theoretical results are in general smaller than the measured values. The equivalent meson exchange NN interactions have the same behavior of the conventional OBEP for the medium and long range parts.
{"title":"One Gluon Exchange Quark-Antiquark Pair Creation Model*>","authors":"Z. Zhang, You-wen Yu","doi":"10.1143/PTPS.91.193","DOIUrl":"https://doi.org/10.1143/PTPS.91.193","url":null,"abstract":"We start from one gluon exchange mechanism to derive a quark-antiquark pair creation transition potential, and study some strong interaction processes, such as baryon-meson vertices, NN interactions and meson decays, by using this transition potential. The coupling constants of the vertices are consistent with the experimental data, except for the case of JC meson, in which the theoretical results are in general smaller than the measured values. The equivalent meson exchange NN interactions have the same behavior of the conventional OBEP for the medium and long range parts.","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":"64913385","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":"Relativistic Descriptions of Nuclear Magnetic Moments","authors":"Jixuan Wei, Jian Li, J. Meng","doi":"10.1143/PTPS.196.400","DOIUrl":"https://doi.org/10.1143/PTPS.196.400","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.196.400","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64871956","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}
Exact results are obtained on the localization of eigenstates in one dimensional infinite disordered systems with diagonal and off-diagonal random nesses. A Furstenberg-type theorem is established for the product of matrices associated with a multi-Markov-chain. As a result, Matsuda and Ishii's theory is generalized to examine the systems with both randomnesses. Harmonic chains, tightly binding electronic systems and Heisenberg-Mattis model are considered as typical examples.
{"title":"Localization of Eigenstates in One-Dimensional Disordered Systems","authors":"M. Goda","doi":"10.1143/PTPS.72.232","DOIUrl":"https://doi.org/10.1143/PTPS.72.232","url":null,"abstract":"Exact results are obtained on the localization of eigenstates in one dimensional infinite disordered systems with diagonal and off-diagonal random nesses. A Furstenberg-type theorem is established for the product of matrices associated with a multi-Markov-chain. As a result, Matsuda and Ishii's theory is generalized to examine the systems with both randomnesses. Harmonic chains, tightly binding electronic systems and Heisenberg-Mattis model are considered as typical examples.","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.72.232","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64898783","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}
The superconductivity in quark matter is investigated by a generalized mean field approximation. If we assume that two quarks interact each other via the one·gluon exchange potential, attractive force appears in the color·triplet and spin-parallel state. Applying a BCS-like theory to the system, it is shown that we obtain a new superconducting state which is more stable than the normal (Fermi gas) state. We also give the explicit expression of the superconducting state. Recently the possibility of strange quark matter1> has been studied by many authors by using various effective models for QCD. In these approaches2> they have supposed that the ground state of the quark matter is a degenerate Fermi gas state where each quark occupies a single-particle state with definite momentum under the Fermi momentum. We think that this assumption is not so evident. If the interac tion between two quarks is attractive and strong enough, the ground state would become a correlated state just like the BCS state in the superconductors rather than the normal state (the Fermi gas state). We will investigate this possibility in this paper. There are several approaches3>.4> to take into account such pairing correlations. They are restricted to the SU(2) quark matter because any two-quark system has color necessarily. In the SU(3), we note that there are three kinds of quark pairs which bear the same color as three kinds of anti-quarks. If such three quark pairs condense in the same way, there may exist a new boson condensate which is a color-singlet state. It is the purpose of this note to discuss such possibility, the color SU(3) superconductivity in the quark matter, by using a mean field approximation. § 2. Attractive force between two quarks First let us consider possibility of appearance of the attractive force between two quarks. We assume the one-gluon exchange potential,5>
{"title":"Pairing Correlation in Quark Matter","authors":"M. Iwasaki","doi":"10.1143/PTPS.120.187","DOIUrl":"https://doi.org/10.1143/PTPS.120.187","url":null,"abstract":"The superconductivity in quark matter is investigated by a generalized mean field approximation. If we assume that two quarks interact each other via the one·gluon exchange potential, attractive force appears in the color·triplet and spin-parallel state. Applying a BCS-like theory to the system, it is shown that we obtain a new superconducting state which is more stable than the normal (Fermi gas) state. We also give the explicit expression of the superconducting state. Recently the possibility of strange quark matter1> has been studied by many authors by using various effective models for QCD. In these approaches2> they have supposed that the ground state of the quark matter is a degenerate Fermi gas state where each quark occupies a single-particle state with definite momentum under the Fermi momentum. We think that this assumption is not so evident. If the interac tion between two quarks is attractive and strong enough, the ground state would become a correlated state just like the BCS state in the superconductors rather than the normal state (the Fermi gas state). We will investigate this possibility in this paper. There are several approaches3>.4> to take into account such pairing correlations. They are restricted to the SU(2) quark matter because any two-quark system has color necessarily. In the SU(3), we note that there are three kinds of quark pairs which bear the same color as three kinds of anti-quarks. If such three quark pairs condense in the same way, there may exist a new boson condensate which is a color-singlet state. It is the purpose of this note to discuss such possibility, the color SU(3) superconductivity in the quark matter, by using a mean field approximation. § 2. Attractive force between two quarks First let us consider possibility of appearance of the attractive force between two quarks. We assume the one-gluon exchange potential,5>","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":"64731209","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":"30 Years of Mathematical Methods in High Energy Physics","authors":"T. Takayanagi, S. Yahikozawa","doi":"10.1093/ptpsupp.177.NP2","DOIUrl":"https://doi.org/10.1093/ptpsupp.177.NP2","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/10.1093/ptpsupp.177.NP2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"61190212","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":"Gross Features of Nuclear Interactions around 1015eV through Observation of Gamma Ray Families","authors":"H. Semba","doi":"10.1143/PTPS.76.111","DOIUrl":"https://doi.org/10.1143/PTPS.76.111","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":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64900081","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}
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