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Dirac Quantization for Interaction Lagrangian with Time Derivative Terms Syaefudin Jaelani; Anto Sulaksono
Jurnal Matematika & Sains Vol 17, No 1 (2012)
Publisher : Institut Teknologi Bandung

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Abstract

The presence of the second order time derivative terms in interaction Lagrangian density of fermions system precludes to apply directly the quantization procedure to its canonical Hamiltonian. Field transformation is used here to handle this problem, so that the transformed Hamiltonian density can be quantized by using Dirac quantization procedure. We obtain the two sets primary constraints which are used to construct Dirac matrix, bracket relation as well as the transformed Hamiltonian. Using this transformed Hamiltonian, the 00-component of energy momentum tensor as well as the equation of state of the system are calculated. Keywords: Field transformation, Canonical Hamiltonian, Transformed Hamiltonian density, Dirac quantization procedure.   Kuantisasi Dirac untuk Lagrangian Interaksi dengan Suku-Suku Turunan terhadap Waktu Abstrak Keberadaan suku turunan orde kedua terhadap waktu pada kerapatan Lagrangian interaksi pada sistem fermion menghalangi penggunaan prosedur kuantisasi secara langsung pada Hamiltonian kanonik sistem. Transformasi medan digunakan disini untuk mengatasi masalah tersebut, sehingga kerapatan Hamiltonian hasil transformasi dapat dikuantisasi dengan menggunakan prosedur kuantisasi Dirac. Kami memperoleh dua buah kendala primer yang digunakan untuk membentuk matriks Dirac, relasi braket dan memperoleh Hamiltonian yang siap dikuantisasi. Dengan menggunakan Hamiltonian ini, komponen-00 tensor momentum energi dan persamaan keadaan sistem dapat diperoleh. Kata kunci: Ttransformasi medan, Hamiltonian kanonik, Kerapatan Hamiltonian hasil transformasi, Prosedur kuantisasi Dirac.
ASIMETRI ISOSPIN PADA MATERI QUARK Ikhsanul Qauli, Ali; Sulaksono, Anto
Jurnal Spektra Vol 15, No 2 (2014): Spektra: Jurnal Fisika dan Aplikasinya
Publisher : Jurnal Spektra

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Kami mengkaji sifat-sifat materi quark dengan menggunakan model asimetri isospin CIDDM (Confined Isospin Density Dependent Mass). Model ini cukup akurat dalam menjelaskan pulsar yang memiliki massa sekitar 2 kali massa matahari. Tetapi setelah kami bandingkan dengan hasil perhitungan persamaan keadaan pada pQCD (perturbative Quantum Chromo Dynamics) kami menemukan bahwa model asimetri isospin tidak bisa memprediksi secara akurat persamaan keadaan materi quark pada nilai densitas baryon yang besar dan temperatur rendah. Di sini kami memberikan beberapa plot dan perbandingan model CIDDM dan perhitungan pQCD.Keywords: Quark Matter, isospin, baryon density, bag, pQCD.
EFEK MEDAN LISTRIK BINTANG NEUTRON Adam, Riza Ibnu; Sulaksono, Anto
Jurnal Spektra Vol 16, No 3 (2015): Spektra: Jurnal Fisika dan Aplikasinya
Publisher : Jurnal Spektra

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AbstrakPada permukaan bintang neutron, perubahan kerapatan partikel yang signifikan dapat menghasilkan separasi muatan dalam bentuk lapisan dipol listrik. Pada penelitian ini dipelajari efek medan listrik akibat lapisan tersebut terhadap properti dari bintang neutron. Pada perhitungan kami gunakan dua model dengan asumsi berbeda, yakni: model dengan asumsi bahwa bintang neutron hanya tersusun atas p, n, e dan µ serta model dengan asumsi bintang neutron tersusun dari p, n, e, µ dan hiperon. Hasil yang diperoleh menunjukkan bahwa massa maksimum tidak sensitif terhadap medan istrik dipermukaan, tetapi radius bintang dengan massa kanonik 1,4 Mʘ cukup sensitif terhadap medan listrik. Bintang neutron dengan hiperon bersifar lebih soft dibandingkan bintang neutron tanpa hiperon. AbstractOn the surface of a neutron star, a significant particle density changes can produce charge separation in the form electric dipole layer. This research studied electric field effect from dipole layer on the properties of neutron star. We use two models with different assumptions: namely a model assumes the neutron star only composed of p, n, e and µ and a model which assumes the neutron star is composed of p, n, e, µ dan hyperon. The result showes that the maximum mass is not sensitive to the electric field on the surface, but the radius of star with canonical mass 1,4 Mʘ is quite sensitive to the electric field . The neutron star with hyperon is softer than without hyperon.Keywords: Neutron Star, Electric Field, TOV Equation, RMF Model, Gaussian Function.
PENGARUH KOPLING TENSOR, ISOVEKTOR-ISOSKALAR DAN PERTUKARAN ELEKTROMAGNETIK TERHADAP PREDIKSI DOUBLE MAGIC NUCLEI 292120 Liliani, Netta; Diningrum, Jenny P; Nugraha, A. M.; Sulaksono, Anto
Jurnal Spektra Vol 16, No 1 (2015): Spektra: Jurnal Fisika dan Aplikasinya
Publisher : Jurnal Spektra

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Abstrak Pengaruh dari kopling tensor, isovektor-isoskalar dan pertukaran elektromagnetik terhadap inti berat dan prediksi inti super berat dipelajari melalui teori Relativistic Mean Field (RMF). Ditemukan bahwa ketiga kopling tersebut memberikan pengaruh yang signifikan terhadap sifat materi nuklir, energi ikat, spektrum energi partikel tunggal, distribusi kerapatan dan ketebalan kulit inti berat dan prediksi inti super berat. Hasil Penelitian ini menunjukan bahwa 208Pb dan 292120 adalah double magic nuclei. Hasil ini konsisten dengan data eksperimen dan prediksi model RMF.Kata kunci: model RMF, kopling tensor, isovektor-isoskalar, pertukaran elektromagnetikAbstractWe studied the effect of tensor, isovektor-isoskalar and electromagnetic exchange couplings on heavy and prediction of superheavy nuclei by using RMF model. We have found that those couplings significantly inuence the nuclear matter properties, binding energy, single particle spectra, nucleon densities and neutron skin of heavy and superheavy nuclei. Our result show that 208Pb and 292120 are double magic nuclei. This results are consistent with experimental finding and other RMF model prediction.Keywords: RMF model, tensor, isovektor-isokalar, electromagnetik exchange couplings
PROTON DRIPLINE PADA ISOTON N = 28 DALAM MODEL RELATIVISTIC MEAN FIELD (RMF) Diningrum, Jenny Primanita; Nugraha, A.M.; Liliani, Netta; Sulaksono, Anto
Jurnal Spektra Vol 16, No 3 (2015): Spektra: Jurnal Fisika dan Aplikasinya
Publisher : Jurnal Spektra

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AbstrakPosisi dua dan satu proton dripline dipelajari dengan menggunakan model Relativistic Mean Field (RMF) termodifikasi. Kami menggunakan tujuh buah  parameter set dari model RMF untuk mempelajari pengaruh kopling isovektor-isoskalar, tensor dan electromagnetic exchange terhadap prediksi proton dripline. Untuk menentukan posisi satu dan dua proton dripline pada isoton N = 28 dilakukan dengan menggunakan metode energi separasi dan energi partikel tunggal. Hasil perhitungan menunjukkan bahwa prediksi dua proton dripline dari isoton N = 28 dengan menggunakan energi separasi berada  pada Z = 30  untuk parameter set 0.04+T-E dan 0.055+T-E, serta pada Z = 32  untuk kelima parameter set yang lain dan eksperimen. Sedangkan, dari analisa energi partikel tunggal dan energi Fermi proton,  proton dripline diprediksi berada pada Z = 30.  Prediksi menggunakan metode energi separasi satu proton pada inti ganjil menunjukan dripline pada Z = 29 untuk parameter set 0.04+T-E dan 0.055+T-E, serta Z = 31  untuk kelima parameter set yang lain dan eksperimen. Sedangkan, berdasarkan analisa energi partikel tunggal dan energi Fermi proton, satu proton dripline berada pada Z = 31.  Kami juga mendapatkan bahwa kopling isovektor-isoskalar, tensor dan electromagnetic exchange tidak memiliki pengaruh yang signifikan terhadap prediksi posisi dari satu dan dua proton dripline. Kami juga mengamati bahwa satu dan dua proton dripline tidak memiliki korelasi terhadap sifat bulk inti, seperti skin, energi ikat, dan sebagainya. AbstractOne and two proton driplines are studied within modified Relativistic Mean Field (RMF) model. We use seven RMF parameter sets to study the effects of coupling isovector-isoscalar, tensors, and electromagnetic exchange on prediction of proton driplines. To determine the position of one and two proton driplines of the chain of N = 28 isotones, we use separation energies and single particle energy methods. Our calculation results have shown that prediction two proton dripline of N = 28 isotones using separation energy lies at Z = 30 for 0.04+T-E and 0.055+T-E parameter sets and it lies at Z = 32 for the one of other used parameter sets and the one from experiment. While based on single particle energy and the proton Fermi energy analysis, the proton dripline lies at Z = 30. We also obtain by using one proton separation energy,  the dripline lies at Z = 29 for 0.04+T-E and 0.055+T-E parameter sets and for the one of other used parameter sets and one from experiment lies at Z = 31 . While based on the single particle energy and proton Fermi energy analysis, it lies at Z = 31. We obtain that coupling isovector-isoscalar, tensors, and electromagnetic exchange couplings do not provide a significant effects on the prediction proton driplines. We also observe that one and two proton driplines do not have a strong correlation with bulk properties nuclei, such as skin, binding energy, and so on.Keywords: Relativistic Mean Field (RMF) model, proton driplines, separation energy, single particle energy.
PROTON DRIPLINE FOR ISOTONE N = 18, 20, AND 22 USING MODIFIED RELATIVISTIC MEAN FIELD (MRMF) MODEL Jenny Primanita Diningrum; Anto Sulaksono
Spektra: Jurnal Fisika dan Aplikasinya Vol 4 No 1 (2019): SPEKTRA: Jurnal Fisika dan Aplikasinya, Volume 4 Issue 1, April 2019
Publisher : Program Studi Fisika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (484.332 KB) | DOI: 10.21009/SPEKTRA.041.01

Abstract

Determining the position of one- and two-proton dripline for isotone of N = 18, 20, and 22 has been studied through Modified Relativistic Mean Field (MRMF). The model exemplifies three impacts, namely isovector-isoscalar coupling, tensors, and electromagnetic exchange through five parameter set variations. The position of one- and two-proton dripline for the isotones is predicted by applying two methods, which are two-proton separation energy, and Fermi energy. The research shows that the prediction of one- and two-proton dripline for isotone of N = 18, and N = 20 is positioned at Z = 22 and Z = 26 consecutively. Then, the prediction of one- and two-proton dripline for isotone of N = 22 has two positions, Z = 26 and Z = 28. The calculation result indicates that the position prediction for isotone of N = 18, N = 20, and N = 22 is following the research result conducted by Nazarewicz with RMF+NLSH model [1]. Meanwhile, isovector-isoscalar coupling, tensors, and electromagnetic exchange do not affect massively for the position prediction of two-proton dripline. However, the three methods affect one-proton dripline.
NUMERICAL ANALYSIS OF ELECTRIC FORCE DISTRIBUTION ON TUMOR MASS IN DC ELECTRIC FIELD EXPOSURE Muhammad Arif; Warsito Purwo Taruno; Septelia Inawati Wanandi; Anto Sulaksono
Spektra: Jurnal Fisika dan Aplikasinya Vol 6 No 2 (2021): SPEKTRA: Jurnal Fisika dan Aplikasinya, Volume 6 Issue 2, October 2021
Publisher : Program Studi Fisika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/SPEKTRA.062.01

Abstract

Researchers have used electric fields as a new therapeutic strategy to treat cancer for the past 15 years. Tumor Treating Fields (TTFields) is an alternating electric field-based cancer therapy approved by the US FDA to treat glioblastoma multiforme (GBM). ECCT (Electro-Capacitive Cancer therapy), a DC charged-discharged electric field (EF) cancer therapy, also shows a performance inhibiting cell proliferation. ECCT affects the cancer lesions to cause simultaneous death of the cancer cell and detached off of the surrounding tissue. The author hypothesizes that the EF produces an electric force that is not homogeneous throughout the tumor mass and generates a strong dielectrophoresis force. The force affects microtubules polymerization during mitosis and causes mitotic arrest. To examine this hypothesis, we performed a numerical simulation of the EF distribution and calculated the force acting on the tumor mass generated by the EF. We analyzed DC electric field exposure on a cancer lesion using a single lesion 2D circular model, calculated the EF intensity on the lesion using the Finite Element Method, and the dielectrophoresis force distribution to quantify the treatment efficacy. The results showed that the distribution of EF intensity was not homogeneous at the lesion-medium boundary and homogeneous within the lesion. The EF intensity is highly dependent on the dielectric constant of the medium and the applied voltage difference that may affect the effectiveness of the treatment. Variations in lesion diameter had no significant effect on the EF intensity distribution and, hence the effectiveness of the therapy. It is considered that EF exposure by ECCT generated strong force on the lesion-medium boundary that could cause detachment of the tumor mass from the surrounding tissue.
KARAKTERISTIK SYMMETRIC NUCLEAR MATTER PADA TEMPERATUR NOL Annisa Fitri; Anto Sulaksono
PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) Vol 4 (2015): PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) SNF2015
Publisher : Program Studi Pendidikan Fisika dan Program Studi Fisika Universitas Negeri Jakarta, LPPM Universitas Negeri Jakarta, HFI Jakarta, HFI

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Investigation of characteristics of Symmetric Nuclear Matter is done to check the instability of nuclear structure when heavy ion collisions, which are influenced by non linear terms of the extended relativistic mean field equations. The calculation of the variable compressibility, pressure, the effective mass of nucleons, and sound velocity is done numerically using finite derivatives. The use of nonlinear parameters affect the relationship between the ratio of the density with thermodynamic variables obtained. Non linear terms of meson field interaction give effect to the characteristics of nuclear matter. Representation between the ratio of the density and sound velocity comparison with the speed of light is relevant, and does not indicate unphysical behavior. Keywords: compressibility, mass, meson, nucleons, pressure, sound, velocity.
EFEK SEBARAN BOSON INHOMOGEN PADA BINTANG BOSON M. Fitrah Alfian R. S.; Anto Sulaksono
PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) Vol 4 (2015): PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) SNF2015
Publisher : Program Studi Pendidikan Fisika dan Program Studi Fisika Universitas Negeri Jakarta, LPPM Universitas Negeri Jakarta, HFI Jakarta, HFI

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Spherically symmetric static boson stars are solutions of the system of equations of Einstein equation which is coupled to the Klein-Gordon and Proca Equation with complex scalar field with U (1) gauge symmetry. We look for the system of equations of Einstein equation which is coupled to the Klein-Gordon and Proca Equation in the curvature space then we limit the metric to the flat space. The system of equations is assumed to be inhomogeneous so, the pressure in tangential direction is different to the pressure in radialdirection that shows the anisotropic equations of state (EOS). We find numerically solutions to see the equations of state which are formed in boson stars as the consequence of inhomogeneous assumption. We also find the solutions for the case of homogeneous assumption by omitting the derivative terms of that system of equations. The result shows that with the inhomogeneous assumption, the boundary conditions can’t be fulfilled and causes the EOS unstable. For the case of homogeneous assumption, the result can describe the stable EOS of the boson stars. Keywords: boson stars, Klein-Gordon equation, Proca equation, inhomogeneous, homogeneous, EOS.
SIFAT-SIFAT LAPISAN KULIT LUAR BINTANG NEUTRON Fera Gustina Purwati; Anto Sulaksono
PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) Vol 3 (2014): PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) SNF2014
Publisher : Program Studi Pendidikan Fisika dan Program Studi Fisika Universitas Negeri Jakarta, LPPM Universitas Negeri Jakarta, HFI Jakarta, HFI

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The main contributions for determining the equation of state of the outer crust of neutron star are from nuclear, electronic, and lattice. We have already studied a toy model developing first time by Roca-Maza that use two assumptions i.e, nucleus are liquid drop (LDM) and electrons are relativistic Fermi gas. For knowing the variations of elements in the outer crust, the parameters of the model are obtained by fitting to atomic nuclear mass tables by Audi Wapstra 2003. To show the accuracy of toy model’s calculation, we compare it with the result of the neutron drip in this region. This result calculation of toy model successfully showing the neutron drip on the value MeV and that corresponding to the element. Keywords: outer crust, neutron star, neutron drip, LDM.