ZGOUBI USERS' GUIDE - HEP

4.2 Definition of an Object 37where ¹ , É are the ellipse parameters and ©É©Ñɹ¹¹1–•Ž–©P–•Ž£""4P©©4P•7P\FPŽ"> ©the emittance, corresponding to an¹–elliptical frontier qqÉ>©PO\P•ÉŽ>¹–KOBJ = 2: Random generation ¤¡V*¤ ^V*¤^Vr¤¥_Vr¤§-V*¤`O of particles q (maximumdata are the number of bars in each coordinate) in a hyper-grid. The input¤¦S"+¤ r"‹¤(r"‹¤¦¥I"‹¤§#"‹¤`Othe spacing of the barsthe width of each bar¥}S"‹¥| v"¥þr"‹¥}¥I"‹¥|§#"‹¥aOS"r"r"¥I"§#"the cut-offs, used with Gaussian densities (in units of the r.m.s. widths)This is illustrated in Fig. 6.The last two sets of data in this option are the parameters£LY"‹£LYZ="‹£LY"‹£LY[I"‹£KY"‹£LY\needed for generation of O the coordinate upon option KD= 2 (unused if KD= 1, 3) and a set of three integer seeds forinitialization of random ¤ q sequences, ¤1 @, , ¤1 Uand ] q (all ).All particles generated by MCOBJET are tagged with a (non-S) character, for further statistic purposes (see HISTO andMCDESINT).KOBJ = 3: Distribution of IMAX particles inside a 6-D ellipsoid defined by the three sets of data (one set per 2-Dphase-space)" ²" ²" ² >" ² T –£ ) b c " if £Lbc ï \ A"ò£Lbcd?E"" É •£ bfe ?E" £ ) be " if £ be ï \ A"" É Žbg ?E"u£ ) b g " if £ bg ï \ A"u£> – –£Lb e £hb £Kbc (r"$¥ g (§#"O @Œ"r" BDBEB Ñ ) or Gaussian ( Ñ @or § q @q q(idem for the ) or ) planes). , and are the sorting cut-offs (used only for Gaussiandistributions, ).The sorting is uniform in surface (for , or or ), and soon, as described above. A uniform sorting has the ellipse above for support. A Gaussian sorting has the ellipse above for" É @å – r.m.s. frontier, leading to D, D Z kj ¹– , and similar relations for D, D.– Wi– –£ b If is negative, thus the sorting fills the elliptical ring that extends from £ b xto £ )determined by the x b cut-off, as addressed above).£b (rather than the inner region– –