A formulation without partial wave decomposition for scattering of spin-1/2 and spin-0 particles

A new technique has been developed to calculate scattering of spin-1/2 and spin-0 particles. The so called momentum-helicity basis states are constructed from the helicity and the momentum states, which are not expanded in the angular momentum states. Thus, all angular momentum states are taken into account. Compared with the partial-wave approach this technique will then give more benefit especially in calculations for higher energies. Taking as input a simple spin-orbit potential, the Lippman-Schwinger equations for the T-matrix elements are solved and some observables are calculated.Comment: 4 pages, 1 figur

A Spin-Isospin Dependent 3N Scattering Formalism in a 3D Faddeev Scheme

We have introduced a spin-isospin dependent three-dimensional approach for formulation of the three-nucleon scattering. Faddeev equation is expressed in terms of vector Jacobi momenta and spin-isospin quantum numbers of each nucleon. Our formalism is based on connecting the transition amplitude $T$ to momentum-helicity representations of the two-body $t$-matrix and the deuteron wave function. Finally the expressions for nucleon-deuteron elastic scattering and full breakup process amplitudes are presented.Comment: 17 page

New Forms of Deuteron Equations and Wave Function Representations

A recently developed helicity basis for nucleon-nucleon (NN) scattering is applied to th e deuteron bound state. Here the total spin of the deuteron is treated in such a helicity representation. For the bound state, two sets of two coupled eigenvalue equations are developed, where the amplitudes depend on two and one variable, respectively. Numerical illustrations based on the realistic Bonn-B NN potential are given. In addition, an `operator form' of the deuteron wave function is presented, and several momentum dependent spin densities are derived and shown, in which the angular dependence is given analytically.Comment: 19 pages (Revtex), 9 fig

Treatment of Two Nucleons in Three Dimensions

We extend a new treatment proposed for two-nucleon (2N) and three-nucleon (3N) bound states to 2N scattering. This technique takes momentum vectors as variables, thus, avoiding partial wave decomposition, and handles spin operators analytically. We apply the general operator structure of a nucleon-nucleon (NN) potential to the NN T-matrix, which becomes a sum of six terms, each term being scalar products of spin operators and momentum vectors multiplied with scalar functions of vector momenta. Inserting this expansions of the NN force and T-matrix into the Lippmann-Schwinger equation allows to remove the spin dependence by taking traces and yields a set of six coupled equations for the scalar functions found in the expansion of the T-matrix.Comment: 4 pages, Contribution to The 19th International IUPAP Conference on Few-Body Problems in Physics, 31.08 - 05.09.2009, Bonn, German

The Operator form of 3H (3He) and its Spin Structure

An operator form of the 3N bound state is proposed. It consists of eight operators formed out of scalar products in relative momentum and spin vectors, which are applied on a pure 3N spin 1/2 state. Each of the operators is associated with a scalar function depending only on the magnitudes of the two relative momenta and the angle between them. The connection between the standard partial wave decomposition of the 3N bound state and the operator form is established, and the decomposition of these scalar function in terms of partial wave components and analytically known auxiliary functions is given. That newly established operator form of the 3N bound state exhibits the dominant angular and spin dependence analytically. The scalar functions are tabulated and can be downloaded. As an application the spin dependent nucleon momentum distribution in a polarized 3N bound state is calculated to illustrate the use of the new form of the 3N bound state.Comment: 21 pages, 1 table, 8 figures, revtex

Efusi Perikard Hemoragik pada Penderita Leukimia Mielo-Monoblastik Akut

A case of a 23 year-old man with haemorrhagic pericardial effusion has been reported. The man came to the hospital due to chest pain, shortness of breath and fever for 5 days. A pericardial effusion was suggested by observing ECG and chest X-ray, later it was proved by echocardiography. Pericardiocentesis was performed, and 650 cc of haemorrhagic fluid was taken out; his condition im-proved dramatically. Acute leukemia has been suggested as the cause, due to high level of White Blood Count. Diagnosis of Acute Myelomonoblastic Leuke-mia (AML) was confirmed by peripheral blood stain and bone marrow aspiration examination. From patient’s history, physical examination, and other tests, no other diseases could suspected as the cause of this hemorrhagic pericardial effu-sion. Chemotherapy of daunorubicin and cytosine-arabinoside was planned for the treatment, but the patient rejected. He was discharged in relatively good condition although the prognosis is still bad.Dilaporkan kasus efusi perikard hemoragik yang terjadi pada seorang pasien laki-laki berusia 23 tahun. Pasien datang ke rumah sakit dengan keluhan nyeri dada selama lima hari, yang disertai sesak napas dan demam. Efusi perikard pada kasus ini dicurigai berdasarkan hasil gambaran elektrokardiogram dan foto toraks, yang kemudian dibuktikan dengan pemeriksaan ekokardiografi. Tindakan perikardiosentesis dilakukan dengan hasil cairan yang hemoragis sebanyak 650 cc. Pasca tindakan keluhan nyeri dada dan sesak napas sangat berkurang. Kecurigaan terhadap leukemia akut sebagai penyebab timbul, karena jumlah lekosit darah sangat meningkat. Diagnosis pasti suatu leukemia mielo-monoblastik akut (LMA) ditegakkan berdasarkan pemeriksaan hapusan darah tepi dan aspirasi sumsum tulang. Penyebab efusi perikard hemoragik pada kasus ini adalah LMA, karena baik dari anamnesis, pemeriksaan fisik maupun pemeriksaan penunjang yang telah dilakukan, tidak ditemukan adanya penyebab lain yang memungkinkan. Direncanakan pemberian kemoterapi berupa daunorubicin dan sitosin-arabinoside, tetapi penderita menolak. Penderita meninggalkan rumah sakit dalam keadaan relatif baik, namun prognosisnya jelek

A New Treatment of 2N and 3N Bound States in Three Dimensions

The direct treatment of the Faddeev equation for the three-boson system in 3 dimensions is generalized to nucleons. The one Faddeev equation for identical bosons is replaced by a strictly finite set of coupled equations for scalar functions which depend only on 3 variables. The spin-momentum dependence occurring as scalar products in 2N and 3N forces accompanied by scalar functions is supplemented by a corresponding expansion of the Faddeev amplitudes. After removing the spin degrees of freedom by suitable operations only scalar expressions depending on momenta remain. The corresponding steps are performed for the deuteron leading to two coupled equations.Comment: 19 page