The DOI matches its Crossref record; 36 of the 36 references it cites were found in a registry or an index.
Ab initio calculation of the neutron-proton mass difference
Open accessAbstract
Weighing the neutron against the proton: Elementary science textbooks often state that protons have the same mass as neutrons. This is not far from the truth—the neutron is about 0.14% heavier (and less stable) than the proton. The precise value is important, because if the mass difference were bigger or smaller, the world as we know it would likely not exist. Borsanyi et al. calculated the mass difference to high precision using a sophisticated approach that took into account the various forces that exist within a nucleon. The calculations reveal how finely tuned our universe needs to be. Science , this issue p. 1452
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A new look at the statistical model identification
Akaike, H. (1974) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1974.1100705 · Cited by 51,879
On Information and Sufficiency
Kullback, S., & Leibler, R. A. (1951) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177729694 · Cited by 20,193
Numerical recipes in C: the art of scientific computing
(1993) · Choice Reviews Online · doi:10.5860/choice.30-5638 · Cited by 17,933
Olive, K. A. (2016) · Chinese Physics C · doi:10.1088/1674-1137/40/10/100001 · Cited by 7,334
Beringer, J., Arguin, J. F., Barnett, R. M., Copic, K., Dahl, O., Groom, D. E., Lin, C. J., Lys, J., Murayama, H., Wohl, C. G., et al. (2012) · Physical Review D · doi:10.1103/physrevd.86.010001 · Cited by 5,978
Wilson, K. G. (1974) · Physical Review D · doi:10.1103/physrevd.10.2445 · Cited by 4,507
Numerical Recipes in C: The Art of Scientific Computing.
Birchenhall, C., Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. (1994) · The Economic Journal · doi:10.2307/2234664 · Cited by 4,355
Ultraviolet Behavior of Non-Abelian Gauge Theories
Gross, D. J., & Wilczek, F. (1973) · Physical Review Letters · doi:10.1103/physrevlett.30.1343 · Cited by 4,335
Reliable Perturbative Results for Strong Interactions?
Politzer, H. D. (1973) · Physical Review Letters · doi:10.1103/physrevlett.30.1346 · Cited by 4,126
Duane, S., Kennedy, A. D., Pendleton, B. J., & Roweth, D. (1987) · Physics Letters B · doi:10.1016/0370-2693(87)91197-x · Cited by 3,872
Cited by
Calculation of the axion mass based on high-temperature lattice quantum chromodynamics
Borsanyi, S., Fodor, Z., Guenther, J., Kampert, K.-H., Katz, S. D., Kawanai, T., Kovacs, T. G., Mages, S. W., Pasztor, A., Pittler, F., et al. (2016) · Nature · doi:10.1038/nature20115 · Cited by 788
Self-citationAoki, Y., Blum, T., Colangelo, G., Collins, S., Morte, M. D., Dimopoulos, P., Dürr, S., Feng, X., Fukaya, H., Golterman, M., et al. (2022) · The European Physical Journal C · doi:10.1140/epjc/s10052-022-10536-1 · Cited by 587
Self-citationThe degree of fine-tuning in our universe — and others
Adams, F. C. (2019) · Physics Reports · doi:10.1016/j.physrep.2019.02.001 · Cited by 62
Metadata
- Authors
- Borsanyi, S., Durr, S., Fodor, Z., Hoelbling, C., Katz, S. D., Krieg, S., Lellouch, L., Lippert, T., Portelli, A., Szabo, K. K., & Toth, B. C.
- Venue
- Science
- Published
- 2015-03-27
- Volume
- 347
- Issue
- 6229
- Pages
- 1452-1455
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W2071360735
- Cited by
- 455
- References
- 36
- FWCI
- 31.82
- Type
- journal article
- Language
- en
- Open access
- green
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- Borsanyi, S., Durr, S., Fodor, Z., Hoelbling, C., Katz, S. D., Krieg, S., Lellouch, L., Lippert, T., Portelli, A., Szabo, K. K., & Toth, B. C. (2015). Ab initio calculation of the neutron-proton mass difference. Science. https://doi.org/10.1126/science.1257050
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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