Quasiclassical Green function in an external field and small-angle scattering

The quasiclassical Green functions of the Dirac and Klein-Gordon equations in the external electric field are obtained with the first correction taken into account. The relevant potential is assumed to be localized, while its spherical symmetry is not required. Using these Green functions, the corresponding wave functions are found in the approximation similar to the Furry-Sommerfeld-Maue approximation. It is shown that the quasiclassical Green function does not coincide with the Green function obtained in the eikonal approximation and has a wider region of applicability. It is illustrated by the calculation of the small-angle scattering amplitude for a charged particle and the forward photon scattering amplitude. For charged particles, the first correction to the scattering amplitude in the non-spherically symmetric potential is found. This correction is proportional to the scattering angle. The real part of the amplitude of forward photon scattering in a screened Coulomb potential is obtained.Comment: 20 pages, latex, 1 figur

Extended systematics of alpha decay half lives for exotic superheavy nuclei

The experimentally available data on the alpha decay half lives and Q? values for 96 superheavy nuclei are used to fix the parameters for a modified version of the Brown empirical formula through two fitting procedures which enables its comparison with similar fits using Viola-Seaborg and Royer formulas. The new expressions provide very good agreement with experimental data having fewer or the same number of parameters. All formulas with the obtained parameters are then extrapolated to generate half lives predictions for 125 unknown superheavy alpha emitters. The nuclei where the employed empirical formulas maximally or minimally diverge are pointed out and a selection of 36 nuclei with exceptional superposition of predictions was made for experimental reference.Comment: 18 pages, 5 figures, 3 table

Integrity bases for local invariants of composite quantum systems

Unitary group branchings appropriate to the calculation of local invariants of density matrices of composite quantum systems are formulated using the method of $S$-function plethysms. From this, the generating function for the number of invariants at each degree in the density matrix can be computed. For the case of two two-level systems the generating function is $F(q) = 1 + q + 4q^{2} + 6 q^{3} + 16 q^{4} + 23 q^{5} + 52 q^{6} + 77 q^{7} + 150 q^{8} + 224 q^{9} + 396 q^{10} + 583 q^{11}+ O(q^{12})$. Factorisation of such series leads in principle to the identification of an integrity basis of algebraically independent invariants. This note replaces Appendix B of our paper\cite{us} J Phys {\bf A33} (2000) 1895-1914 (\texttt{quant-ph/0001076}) which is incorrect.Comment: Latex, 4 pages, correcting Appendix B of quant-ph/0001076 Error in $F(q)$ corrected and conclusions modified accordingl

KEDUDUKAN AHLI WARIS NON MUSLIM DALAM KEWARISAN ISLAM (STUDI KASUS PUTUSAN NOMOR : 1578/PDT.G/2010/PA.JT)

Salah satu pembahasan dalam ilmu mawaris adalah pembahasan tentang penghalang dalam kewarisan. Penghalang dalam kewarisan ada tiga penyebabnya yaitu pembunuhan yang disengaja, beda agama dan perbudakan. Beda agama adalah apabila antara ahli waris dan pewaris salah satunya beragama Islam dan yang lain tidak beragama Islam. Tentang perbedaan agama antara pewaris dan ahli waris, dapat menggugurkan hak seseorang untuk mewarisi harta peninggalan. Rumusan masalah dalam penelitian ini ialah bagaimana kedudukan ahli waris non muslim dalam kewarisan Islam dan apakah pertimbangan Hakim dalam putusan nomor : 1578/Pdt.G/2010/PA.JT telah sesuai dengan hukum Islam serta Kompilasi Hukum Islam. Metode pendekatan yang digunakan peneliti adalah library research (yurudis normatif). Yaitu suatu pendekatan alternatif yang menganalisa bahan-bahan pustaka di bidang hukum yang norma- normanya tertulis dan spesifikasi penelitian deskriptis analitis, yaitu dengan menggunakan metode dan teori ilmu-ilmu sosial tentang hukum untuk membantu peneliti dalam melakukan analisis. Hasil dari penelitian ini diperoleh kesimpulan yakni : (1) Hukum Islam menegaskan prinsip dalam kewarisan bahwa ahli waris non muslim tidak mempunyai kedudukan untuk mewarisi harta dari pewaris muslim, sebagaimana yang telah diatur dalam Al-Qur’an, Hadits serta Kompilasi Hukum Islam. (2) Dalam pertimbangan hakim Pengadilan Agama Jakarta Timur dianggap telah terjadi kekeliruan mengenai pemahaman tentang kompetensi absolut Pengadilan Negeri Jakarta Timur yang menetapkan masalah kewarisan Islam, karena pada dasarnya yang mempunyai kewenangan absolut ialah Pengadilan Agama Jakarta Timur. Hal tersebut menimbulkan dasar penolakan hakim Pengadilan Agama menolak gugatan perkara ahli waris, yang menyebabkan ahli waris non muslim memperoleh kembali hak kewarisannya. Hasil dari putusan tersebut ditinjau secara sudut pandang Islam sangat bertentangan dengan Al- Qur’an dan Hadits serta ketentuan menurut perspektif Kompilasi Hukum Islam, bahwa mengenai sistem kewarisan Islam tidak mengakui ahli waris non muslim sebagai ahli waris dari pewaris muslim

Gravitational Dressing of Renormalization Group

We study the gravitational dressing of renormalizable two-dimensional field theories. Our main result is that the one-loop $\beta$-function is finitely renormalized by the factor ${k+2\over k+1}$, where $k$ is the central charge of the gravitational $SL(2, R)$ current algebra.Comment: preprint PUPT-1421 10 page

Proton emission with a screened electrostatic barrier

Half-lives of proton emission for Z$\ge$51 nuclei are calculated within a simple analytical model based on the WKB approximation for the barrier penetration probability which includes the centrifugal and overlapping effects besides the electrostatic repulsion. The model has a single free parameter associated to a Hulthen potential which emulates a Coulomb electrostatic interaction only at short distance. The agreement with experimental data is very good for most of the considered nuclei. Theoretical predictions are made for few cases with uncertain emitting state configuration or incomplete decay information. The model's assignment of the proton orbital momentum is in agreement with the differentiation of the experimental data by orbital momentum values realized with a newly introduced correlation formula.Comment: 8 pages, 3 figures, 2 tables, Accepted in Eur. Phys. J.

Vortex tilt modulus in Fulde-Ferrell-Larkin-Ovchinnikov state

Vortex tilt response in Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) vortex lattice is theoretically examined as a probe reflecting the spatial structure of this state. In the FFLO state with nodal planes perpendicular to the magnetic field in a quasi 2D material under a parallel field, the tilt modulus E_{2} {\it of the nodal planes} decreases as the paramagnetic effect is effectively enhanced, and this reduction of E_{2} in turn reduces the vortex tilt modulus. This reduction of vortex tilt modulus, more remarkable in more anisotropic systems, accompanying the FFLO transition may be an origin of the monotonous reduction of sound velocity detected upon cooling in a ultrasound measurement for CeCoIn5.Comment: 14 pages, 5 figures. Accepted for publication in Phys. Rev.

Pembuatan detektor Sinar-X Isisan Gas jenis proporsional Tipe Jendela samping

Telah dibuat dan diteliti detektor proporsional tripe jendela samping dengan gas isian argon dan metana Tekanan total gas isian adalah 400 mmHg dengan perbandingan tekanan 95 : 5. Katoda terbuat clari stainless steel berdiameter 24,2 mm dengan panjang 100mm dan anoda dari tungsten berdiameter 0,08 mm. Jendela terbuat dari berilium, dengan panjang 24 mm dan lebar 12 mm. Dari pengujian detektor diperoleh bahwa tegangan ambang 2200 volt, plats 125 volt, slope 2,3%/100 volt, resolusi energi 11,66 % dan efisiensi 8,57 % terhadap sinar-X dengan somber Fels pada jarak 0 mm. A side window proportional counter has been made and observed. Argon and methane with the total pressure of 400 mmHg and the pressure ratio of 95 ; 5 are used as a filled gas. The cathode with diameter of 24,2 mm, length of 100 mm and anode with diameter of 0,08 mm made of stainless steel and tungsten respectively are used in this experiment. Beryllium with length of 24 mm and width of 12 mm is used as a window. The performance test of this detector shows that the treshold voltage , plateau, slope, energy resolution and efficiency for X-ray with Fe55 as a radiation source at 0 mm are 2200 volt, 125 volt, 2,3%/100 volt, 11,66 % and 8,57 % respectively