Pub Date : 1972-10-01DOI: 10.1088/0305-4470/5/10/015
G. Purkayastha, N. Sil, S. Banerjee
An analytical and separable representation for the two-particle S wave t matrix, for the central Yakawa interactions, has been suggested, which is separable and symmetric in momentum variables p and p'. The sturmian eigenfunctions for the S wave Hulthen potential, which form a complete set, have been used as the expansion bases. For the neutron-proton system, the triplet and the singlet states have been considered, including the soft-core repulsion in the singlet interaction. The resulting t matrix has been used as an input in the Faddeev equation for the neutron-deuteron collision problem, the triton binding energy has been computed and compared with the theoretical calculation of Malfliet and Tjon (1969) as well as the experimental findings.
{"title":"Triton binding energy by the Faddeev approach with two-body local interactions","authors":"G. Purkayastha, N. Sil, S. Banerjee","doi":"10.1088/0305-4470/5/10/015","DOIUrl":"https://doi.org/10.1088/0305-4470/5/10/015","url":null,"abstract":"An analytical and separable representation for the two-particle S wave t matrix, for the central Yakawa interactions, has been suggested, which is separable and symmetric in momentum variables p and p'. The sturmian eigenfunctions for the S wave Hulthen potential, which form a complete set, have been used as the expansion bases. For the neutron-proton system, the triplet and the singlet states have been considered, including the soft-core repulsion in the singlet interaction. The resulting t matrix has been used as an input in the Faddeev equation for the neutron-deuteron collision problem, the triton binding energy has been computed and compared with the theoretical calculation of Malfliet and Tjon (1969) as well as the experimental findings.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"19 1","pages":"1495-1501"},"PeriodicalIF":0.0,"publicationDate":"1972-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74061202","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}
Pub Date : 1972-10-01DOI: 10.1088/0305-4470/5/10/006
J. Byrne, R. Burman
The effect of a photon rest mass on the dissipation of magnetic fields in the Galaxy is discussed and an upper limit on the rest mass is obtained: an earlier treatment is corrected and refined.
讨论了光子静止质量对银河系中磁场耗散的影响，得到了静止质量的上限，并对先前的处理进行了修正和完善。
{"title":"A photon rest mass and magnetic fields in the Galaxy","authors":"J. Byrne, R. Burman","doi":"10.1088/0305-4470/5/10/006","DOIUrl":"https://doi.org/10.1088/0305-4470/5/10/006","url":null,"abstract":"The effect of a photon rest mass on the dissipation of magnetic fields in the Galaxy is discussed and an upper limit on the rest mass is obtained: an earlier treatment is corrected and refined.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"64 5 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"1972-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90704285","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}
Pub Date : 1972-10-01DOI: 10.1088/0305-4470/5/10/017
J. Wdowczyk, E. Zujewska
A discussion is given of various cosmic ray phenomena from the point of view of the hypothesis of 'regenerated showers'. It is shown that the hypothesis, which was originally developed in order to explain muon-poor showers, gives a consistent explanation of various 'unusual' phenomena observed in cosmic rays. The most interesting result is that the hypothesis can explain the apparent discrepancy between the high energy 'muon' spectrum derived from the burst size spectrum and that deduced from other types of observation. With the additional assumption that the passive particle decays into a muon pair with lifetime of the order of 10-7 s, the hypothesis can also explain the abnormal angular distribution of energetic muons observed by the Utah group (Carlson et. al. 1971).
{"title":"The possibility of a consistent explanation of various phenomena involving cosmic ray muons","authors":"J. Wdowczyk, E. Zujewska","doi":"10.1088/0305-4470/5/10/017","DOIUrl":"https://doi.org/10.1088/0305-4470/5/10/017","url":null,"abstract":"A discussion is given of various cosmic ray phenomena from the point of view of the hypothesis of 'regenerated showers'. It is shown that the hypothesis, which was originally developed in order to explain muon-poor showers, gives a consistent explanation of various 'unusual' phenomena observed in cosmic rays. The most interesting result is that the hypothesis can explain the apparent discrepancy between the high energy 'muon' spectrum derived from the burst size spectrum and that deduced from other types of observation. With the additional assumption that the passive particle decays into a muon pair with lifetime of the order of 10-7 s, the hypothesis can also explain the abnormal angular distribution of energetic muons observed by the Utah group (Carlson et. al. 1971).","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"27 1","pages":"1514-1523"},"PeriodicalIF":0.0,"publicationDate":"1972-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76603285","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}
Pub Date : 1972-10-01DOI: 10.1088/0305-4470/5/10/004
C. A. Ayre, M. Hamdan, C. Hume, B. Nandi, M. Thompson, S. Wells, M. Whalley, A. Wolfendale
The new Durham spectrograph, MARS, has been used to study the Coulomb scattering of cosmic ray muons in iron in the momentum range 10-70 GeV/c. The observed root mean square lateral displacement agrees well with that predicted to within the statistical errors, which range from 2% at the lowest momentum to 17% at the highest momentum. Averaged over the whole momentum range the ratio of observed to expected root mean square scattering displacement is 1.023+or-0.019.
{"title":"Multiple scattering of cosmic ray muons in the range 10-70 GeV/c","authors":"C. A. Ayre, M. Hamdan, C. Hume, B. Nandi, M. Thompson, S. Wells, M. Whalley, A. Wolfendale","doi":"10.1088/0305-4470/5/10/004","DOIUrl":"https://doi.org/10.1088/0305-4470/5/10/004","url":null,"abstract":"The new Durham spectrograph, MARS, has been used to study the Coulomb scattering of cosmic ray muons in iron in the momentum range 10-70 GeV/c. The observed root mean square lateral displacement agrees well with that predicted to within the statistical errors, which range from 2% at the lowest momentum to 17% at the highest momentum. Averaged over the whole momentum range the ratio of observed to expected root mean square scattering displacement is 1.023+or-0.019.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"1972-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79074116","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}
Pub Date : 1972-10-01DOI: 10.1088/0305-4470/5/10/018
H. G. Price
The analogues of the 52V levels at 0.793 and 0.846 MeV have been examined as resonances in the 51V (p, gamma )52Cr reaction at proton energies of 1.567 and 1.629 MeV. The resonance at 1.567 MeV and hence the 0.793 MeV 52V level has been assigned Jpi of 3+ and the most probable Jpi value for the 1.629 MeV resonance and hence the 0.846 MeV 52V level is shown to be 4+. These results are consistent with previous theoretical calculations of the 52V levels.
{"title":"Analogue resonances of low lying levels of 52V in the 51V(p,γ)52Cr reaction","authors":"H. G. Price","doi":"10.1088/0305-4470/5/10/018","DOIUrl":"https://doi.org/10.1088/0305-4470/5/10/018","url":null,"abstract":"The analogues of the 52V levels at 0.793 and 0.846 MeV have been examined as resonances in the 51V (p, gamma )52Cr reaction at proton energies of 1.567 and 1.629 MeV. The resonance at 1.567 MeV and hence the 0.793 MeV 52V level has been assigned Jpi of 3+ and the most probable Jpi value for the 1.629 MeV resonance and hence the 0.846 MeV 52V level is shown to be 4+. These results are consistent with previous theoretical calculations of the 52V levels.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"2 1","pages":"1524-1528"},"PeriodicalIF":0.0,"publicationDate":"1972-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86093821","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}
Pub Date : 1972-10-01DOI: 10.1088/0305-4470/5/10/001
D. Mason
It is pointed out that in general relativistic magnetohydrodynamics Ohm's law does not determine the current density Ja in the limit of infinite conductivity, but that it is determined by the electromagnetic field equation as in nonrelativistic magnetohydrodynamics. It is also shown that the relation 2 omega .H= epsilon derived by Yodzis (1971) assuming Ja= epsilon ua for infinite conductivity, can also be obtained by a modified argument if the above view is taken.
指出在广义相对论磁流体力学中，欧姆定律并不决定无限电导率极限下的电流密度Ja，而是由非相对论磁流体力学中的电磁场方程决定的。如果采用上述观点，Yodzis(1971)在假设Ja= epsilon ua时推导出的2 ω . h = epsilon的关系式也可以通过一个修正的论证得到。
{"title":"Infinite conductivity in general relativistic magnetohydrodynamics","authors":"D. Mason","doi":"10.1088/0305-4470/5/10/001","DOIUrl":"https://doi.org/10.1088/0305-4470/5/10/001","url":null,"abstract":"It is pointed out that in general relativistic magnetohydrodynamics Ohm's law does not determine the current density Ja in the limit of infinite conductivity, but that it is determined by the electromagnetic field equation as in nonrelativistic magnetohydrodynamics. It is also shown that the relation 2 omega .H= epsilon derived by Yodzis (1971) assuming Ja= epsilon ua for infinite conductivity, can also be obtained by a modified argument if the above view is taken.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"97 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"1972-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75678571","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}
Pub Date : 1972-10-01DOI: 10.1088/0305-4470/5/10/010
B. Thompson
In those cases where a direct diagonalization of the energy matrix is not attempted because of insuperable practical difficulties of computation, it is always possible to estimate the gamut of the eigenvalue spectrum by a variational method. A trial state function similar in some respects to a Glauber state is employed. Certain asymptotically exact results due to Tavis and Cummings (1968) are recovered. Finally, ways in which the accuracy might be improved are outlined.
{"title":"A variational estimate of the lowest eigenvalue of the multiatom, multimode Hamiltonian of quantum optics","authors":"B. Thompson","doi":"10.1088/0305-4470/5/10/010","DOIUrl":"https://doi.org/10.1088/0305-4470/5/10/010","url":null,"abstract":"In those cases where a direct diagonalization of the energy matrix is not attempted because of insuperable practical difficulties of computation, it is always possible to estimate the gamut of the eigenvalue spectrum by a variational method. A trial state function similar in some respects to a Glauber state is employed. Certain asymptotically exact results due to Tavis and Cummings (1968) are recovered. Finally, ways in which the accuracy might be improved are outlined.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"9 1","pages":"1453-1460"},"PeriodicalIF":0.0,"publicationDate":"1972-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84613696","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}
Pub Date : 1972-10-01DOI: 10.1088/0305-4470/5/10/002
E. Jakeman, C. Oliver, E. Pike, P. Pusey
The use of scaling for one-bit correlation processing in optical spectroscopy of nongaussian signals is discussed. A theoretical proof of its equivalence with uniform random clipping, and hence full correlation, is provided in certain cases.
{"title":"Correlation of scaled photon-counting fluctuations","authors":"E. Jakeman, C. Oliver, E. Pike, P. Pusey","doi":"10.1088/0305-4470/5/10/002","DOIUrl":"https://doi.org/10.1088/0305-4470/5/10/002","url":null,"abstract":"The use of scaling for one-bit correlation processing in optical spectroscopy of nongaussian signals is discussed. A theoretical proof of its equivalence with uniform random clipping, and hence full correlation, is provided in certain cases.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"5 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"1972-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84661003","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}
Pub Date : 1972-10-01DOI: 10.1088/0305-4470/5/10/008
J. Rae
The superoperator theory of nonequilibrium statistical mechanics is applied to the Dirac and Klein-Gordon equations. The transformation operators of this theory are found to be closely related to the Foldy-Wouthuysen transformation while the associated subdynamics corresponds to the separation into smooth motion and zitterbewegung.
{"title":"Zitterbewegung as a subdynamics","authors":"J. Rae","doi":"10.1088/0305-4470/5/10/008","DOIUrl":"https://doi.org/10.1088/0305-4470/5/10/008","url":null,"abstract":"The superoperator theory of nonequilibrium statistical mechanics is applied to the Dirac and Klein-Gordon equations. The transformation operators of this theory are found to be closely related to the Foldy-Wouthuysen transformation while the associated subdynamics corresponds to the separation into smooth motion and zitterbewegung.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"9 1","pages":"1438-1446"},"PeriodicalIF":0.0,"publicationDate":"1972-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87780331","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}
Pub Date : 1972-10-01DOI: 10.1088/0305-4470/5/10/013
P. T. Davies
The author takes a chiral SU(2)*SU(2) invariant pion-nucleon interaction to first order in the meson covariant derivative. The covariant derivatives are identified in terms of the Gursey matrix, and choosing the exponential parametrization for this he calculates the matrix superpropagator using Fourier transform techniques.
{"title":"The matrix superpropagator of a chiral invariant pion-nucleon interaction","authors":"P. T. Davies","doi":"10.1088/0305-4470/5/10/013","DOIUrl":"https://doi.org/10.1088/0305-4470/5/10/013","url":null,"abstract":"The author takes a chiral SU(2)*SU(2) invariant pion-nucleon interaction to first order in the meson covariant derivative. The covariant derivatives are identified in terms of the Gursey matrix, and choosing the exponential parametrization for this he calculates the matrix superpropagator using Fourier transform techniques.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"75 1","pages":"1479-1487"},"PeriodicalIF":0.0,"publicationDate":"1972-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86731470","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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