Analytical treatment of constraints in fragmentation

Abstract

In fragmentation of a finite object such as an atomic nucleus or a percolation lattice, the multidimensional probability distribution of the numbers of fragments of each mass (charge, size) may be approximated as a product of Poisson distributions. In this work we present an analytical treatment of the influence of constraints (multiplicity, mass, etc.) that may be imposed on the basic product distribution

Description of N = 7 ∼ 9 Isotones with a Modified Single-Particle Potential

“…Although there are discrepancies between theoretical and experimental values, the level sequences are reproduced correctly. [4,5,11] It is obvious that, with the same value of |N − Z|, the 1d 5/2 and 2s 1/2 levels squeeze more dramatically in proton-rich nucleus than in neutron-rich nucleus. The physical origins of the different energy shifts in mirror nuclei are complex.…”

“…Much valuable information is about the nuclear structures of N = 7 ∼ 9 isotones and their mirror nuclei. For example, the ground-state parity inversion has been found in the mirror nuclei 11 Be and 11 N. [1−3] The inversion between 1d 5/2 and 2s 1/2 is indicated in 15 C and 15 F. [4,5] Experiments also suggest abundant halo content in 11 Be, 12,14 B, 13,15 C, and 17 F. [6−11] Up to now, a lot of theoretical studies have been performed in order to explain the abnormal properties of these exotic nuclei. [12−20] Tanihata et al have investigated the locations of the drip lines based on the simple shell model.…”

Impact of New Gamow-Teller Strengths on Explosive Type Ia Supernova Nucleosynthesis

“…A compilation of GT measurements of many of the pf-shell nuclei with 45≤ Z ≤ 64 was performed by Cole et al (2012). This study includes studies of β-decay results (Alford et al 1991;Williams et al 1995;Anantaraman et al 2008;Popescu et al 2007), charge exchange results using (n,p) reactions (Yako et al 2009;Vetterli et al 1987Vetterli et al , 1989Anantaraman et al 2008), charge-exchange results using (d, 2 He) reactions (Hitt et al 2009;Bäumer et al 2005;Alford et al 1993;Bäumer et al 2003;Cole et al 2006), charge-exchange results using (t, 3 He) reactions (Hagemann et al 2004(Hagemann et al , 2005Grewe et al 2008), and charge-exchange results using (p,n) reactions assuming isospin symmetry (Williams et al 1995;Anantaraman et al 2008).…”

Phase-Dependent Effects in Stern–Gerlach Experiments

“…Thus, the effects from the internal coherence become fascinating and experimentally possible. For the spin-1/2 condensates, Lee and his colleagues have shown how the spin polarization and dynamical bifurcation depend on the relative phase between different components, [16] which provides a good candidate in quantum phase measuring and information storage by a semi-classical approach. In this Letter, we explore the phase-dependent effects caused by the internal coherence in the SGE, where the magnetic field changes largely in the region of the atomic wave packet.…”