Abstract:The production of ∆ 0 (1232)-resonances in p+ 12 C collisions at 4.2 GeV/c was analyzed with 4π acceptance. The mass distribution of ∆ 0 (1232) was reconstructed using an angular criterion. The fraction of charged π − -mesons coming from ∆ 0 (1232) decay was estimated and compared to those obtained in earlier works. The momentum, transverse momentum, kinetic energy, and rapidity distributions as well as invariant cross sections of ∆ 0 (1232)-resonances were reconstructed in the laboratory frame. The mean kinematical characteristics of the reconstructed ∆ 0 (1232) were compared to those of participant protons in experiment and within some of the models. The freeze-out temperature of ∆ 0 (1232) estimated in the present analysis was compared with those obtained using different methods for ∆(1232) produced with other sets of colliding nuclei at various incident energies. The relative number of nucleons excited to ∆ 0 (1232) at freeze-out conditions in p+ 12 C collisions was estimated.
Minimum vertex cover is very important among the NP-optimization problems and got the attention of the researchers in the past decade. Approximation techniques are used to solve the NP problems to get either optimal or near optimal solutions in polynomial time. In this paper, a modified vertex support algorithm is proposed that make use of same data structure as that of VSA but with different vertex selection criteria. Proposed algorithm is called advance vertex support algorithm (AVSA), it takes into account all the neighbors of a vertex twice while selection as surrounding vertices are very important for the decision. AVSA is analyzed experimentally against all benchmarks and compared with some better algorithms already present. The experimental results show that the worst approximation ratio was 1.032 with a ratio of average approximation 1.006. A comparative analysis with other algorithms indicates that AVSA can provide the best solution among them the minimum time requirements. Simplicity in design can give advantages to implement in various fields of application with minimum overhead.
Production of 0 (1232) resonances in d + 12 C collisions at 4.2A GeV/c was investigated with 4π acceptance, for the first time. The mass distribution of 0 (1232) resonances produced in d + 12 C collisions was reconstructed and their mass and width were extracted. The kinematical distributions of 0 (1232) were reconstructed in the laboratory frame and the corresponding mean kinematical characteristics were estimated. The fraction of charged π − mesons coming from 0 (1232) decay as well as the relative number of nucleons excited to 0 (1232) in freeze-out conditions were estimated. The freeze-out temperature of 0 (1232) was estimated and compared to results of other experiments with different sets of colliding nuclei and various incident energies.
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