Dependence of nuclear binding on hadronic mass variation

Details Dependence of nuclear binding on hadronic mass variation Dependence of nuclear binding on hadronic mass variation

2007-09-01

arxiv.org/abs/0709.0077v2

Phys.Rev.C76:054002,2007

Physics

Nuclear Physics

Nuclear Theory

28 pages including 3 figures v2:additional citations/acknowledgments added

Scientific paper

10.1103/PhysRevC.76.054002

We examine how the binding of light ($A\leq 8$) nuclei depends on possible variations of hadronic masses, including meson, nucleon, and nucleon-resonance masses. Small variations in hadronic masses may have occurred over time; the present results can help evaluate the consequences for big bang nucleosynthesis. Larger variations may be relevant to current attempts to extrapolate properties of nucleon-nucleon interactions from lattice QCD calculations. Results are presented as derivatives of the energy with respect to the different masses so they can be combined with different predictions of the hadronic mass-dependence on the underlying current-quark mass $m_q$. As an example, we employ a particular set of relations obtained from a study of hadron masses and sigma terms based on Dyson-Schwinger equations and a Poincar\'{e}-covariant Faddeev equation for confined quarks and diquarks. We find that nuclear binding decreases moderately rapidly as the quark mass increases, with the deuteron becoming unbound when the pion mass is increased by $\sim$60% (corresponding to an increase in $X_q=m_q/\Lambda_{QCD}$ of 2.5). In the other direction, the dineutron becomes bound if the pion mass is decreased by $\sim$15% (corresponding to a reduction of $X_q$ by $\sim$30%). If we interpret the disagreement between big bang nucleosynthesis calculations and measurements to be the result of variation in $X_q$, we obtain an estimate $\delta X_q/X_q=K \cdot (0.013 \pm 0.002)$ where $K \sim 1$ (the expected accuracy in $K$ is about a factor of 2). The result is dominated by $^7$Li data.

Affiliated with

Also associated with

No associations

Rating

Dependence of nuclear binding on hadronic mass variation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dependence of nuclear binding on hadronic mass variation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dependence of nuclear binding on hadronic mass variation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-688667