Boson dominance in nuclei

Abstract

We present a new method of bosonization of fermion systems applicable when the partition function is dominated by composite bosons. By restricting the partition function to such states, we obtain a Euclidean bosonic action from which we derive the Hamiltonian. Such a procedure respects all the fermion symmetries, particularly the fermion number conservation, and provides a boson mapping of all fermion operators.

Composite boson dominance in relativistic field theories

“…Recently a method of bosonization was developed in the framework of many-body theories by which we can treat both charged and neutral composites [12]. The starting point in this method is the partition function in operator form, namely the trace of the transfer matrix in the Fock space of the fermions.…”

“…The bosonization procedure we investigate has been completely developed for nonrelativistic many-body systems and checked on the BCS model of superconductivity and the pairing model of finite systems like atomic nuclei and ultrasmall superconducting grains [12]. The properties of these systems are exactly reproduced.…”

Level structure of30S and its importance in the26Si(α,pTan1, Aprahamian2, Beard3 et al. 2012Phys. Rev. C140350View full textAdd to dashboardCite

“…The reaction-rate calculation requires detailed information about the specific partial widths of the contributing resonance levels, namely the proton-partial widths of the low-energy resonances in 29 P(p,γ) 30 S and the alpha-partial widths of the resonances in 26 Si(α,p) 29 P. These parameters are based on empirical quasi-statistical assumptions about the single-particle and the alpha-cluster strength distribution in 30 S. While strong single-resonance contributions from pronounced single-particle states or cluster configurations cannot be excluded, the high resonance density reduces the overall impact of such pronounced resonance structures on the reaction rate. 26 Si(α,p) 29 P reaction rate calculated using the parameters given in Table VII and comparison with the rates calculated using the statistical codes SMOKER [49], NON-SMOKER [50], TALYS [51] and CIGAR [52]. …”

“…10. The figure also shows the reaction rates calculated using the statistical models SMOKER [49], NON-SMOKER [50], TALYS [51] and CIGAR [52] which are typically used to calculate this reaction rate.…”

“…Using the code CIGAR [52] we examined the sensitivity of the calculated reaction rate to both the radius and diffuseness of the real and imaginary components of the alpha optical potential model. We find that increasing the real and imaginary radius and diffuseness by a factor of 1.086 reduces the reaction rate by up to a factor of ∼ 3.…”