# Ab initio calculation of the neutron-proton mass difference

- Institution: CERN
- Department: TH Theoretical Seminar
- Speaker: Laurent Lellouch
- Year: 2015
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3016631)
- Licence: [CERN](http://copyright.web.cern.ch)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

The existence and stability of atoms relies on the fact that neutrons are more massive than protons. The mass difference is only 0.14% of the average and has significant astrophysical and cosmological implications. A slightly smaller or larger value would have led to a dramatically different universe. After an introduction to the problem and to lattice quantum chromodynamics (QCD), I will show how this difference can be computed precisely by carefully accounting for electromagnetic and mass isospin breaking effects in lattice computations. I will also report on results for splittings in the \Sigma, \Xi, D and \Xi_{cc} isospin multiplets, some of which are predictions. The computations are performed in lattice QCD plus QED with four, non-degenerate quark flavors..

0:00:00 Slide 1

0:00:51 Slide 2

0:01:59 Slide 3

0:04:06 Slide 4

0:06:41 Slide 5

0:09:30 Slide 6

0:11:56 Slide 7

0:13:11 Slide 8

0:14:39 Slide 9

0:14:49 Slide 10

0:14:57 Slide 11

0:16:07 Slide 12

0:18:22 Slide 13

0:21:57 Slide 14

0:23:35 Slide 15

0:26:31 Slide 16

0:28:12 Slide 17

0:29:45 Slide 18

0:31:22 Slide 19

0:32:17 Slide 20

0:35:01 Slide 21

0:35:35 Slide 22

0:35:39 Slide 23

0:36:32 Slide 24

0:37:27 Slide 25

0:39:19 Slide 26

0:41:14 Slide 27

0:41:41 Slide 28

0:41:47 Slide 29

0:42:43 Slide 30

0:43:30 Slide 31

0:46:50 Slide 32

0:47:06 Slide 33

0:48:13 Slide 34

0:51:17 Slide 35

0:52:41 Slide 36

0:53:52 Slide 37

0:56:13 Slide 38

0:57:46 Slide 39

0:58:53 Slide 40

1:00:48 Slide 41

1:01:07 Slide 42

1:01:31 Slide 43

## Lectures

1. [Ab initio calculation of the neutron-proton mass difference](https://invisiblenetwork.ai/learn/cern/3016631/40f81f1e11e0), 1 h 9 min (CERN's player)
